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Axisymmetric Calculations of a Low-Boom Inlet in a Supersonic Wind Tunnel

NASA/TM-2011-217224 · NASA (NTRS) · 2011

Public domain · NASA (NTRS)Technical Reports

Overview

This paper describes axisymmetric CFD predictions made of a supersonic low-boom inlet with a facility diffuser, cold pipe, and mass flow plug within wind tunnel walls, and compares the CFD calculations with the experimental data. The inlet was designed for use on a small supersonic aircraft that…

Publisher
NASA (NTRS)
Document
NASA/TM-2011-217224
Year
2011
Pages
19

Key points

  • The paper presents axisymmetric CFD predictions of a low-boom inlet designed for a small supersonic aircraft cruising at Mach 1.6.
  • The dual-stream inlet achieved a peak core total pressure recovery of 96 percent and demonstrated excellent performance with capture ratios near one.
  • The inlet was tested in NASA's 8-ft by 6-ft Supersonic Wind Tunnel, with data collected at Mach numbers ranging from 0.5 to 1.8.
  • CFD calculations were performed using the Wind-US code to predict inlet performance and were validated against experimental data.
  • The dual-stream inlet design includes a novel bypass duct to maximize total pressure recovery and minimize sonic boom characteristics.
Frequently asked questions
What was the purpose of the low-boom inlet tested in the wind tunnel?

The low-boom inlet was designed for a small supersonic aircraft to minimize sonic boom characteristics while maintaining high performance.

What were the results of the CFD predictions compared to experimental data?

The results showed that the CFD predictions agreed well with experimental data, particularly in terms of core recovery, although bypass recovery and maximum capture ratio were overestimated.

What was the significance of the dual-stream inlet's design?

The dual-stream inlet was designed to capture nearly 100 percent of incoming supersonic flow and to have low external cowl angles to reduce sonic boom.

How was the inlet tested in the Supersonic Wind Tunnel?

The inlet models were tested in the wind tunnel under controlled conditions, with data collected at various Mach numbers and using instrumentation to measure pressure.

What is the role of the bypass duct in the dual-stream inlet?

The bypass duct captures high-loss flow near the cowl and diverts it around the engine, maximizing total pressure recovery at the fan face.

Document

NASA/TM—2011-217224 AIAA–2011–3800

Axisymmetric Calculations of a Low-Boom Inlet

in a Supersonic Wind Tunnel

Rodrick V. Chima and Stefanie M. Hirt Glenn Research Center, Cleveland, Ohio Robert Reger University of Florida, Gainesville, Florida

November 2011

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NASA/TM—2011-217224 AIAA–2011–3800

Axisymmetric Calculations of a Low-Boom Inlet

in a Supersonic Wind Tunnel

Rodrick V. Chima and Stefanie M. Hirt Glenn Research Center, Cleveland, Ohio Robert Reger University of Florida, Gainesville, Florida Prepared for the 29th Applied Aerodynamics Conference sponsored by the American Institute of Aeronautics and Astronautics Honolulu, Hawaii, June 27–30, 2011 National Aeronautics and Space Administration Glenn Research Center Cleveland, Ohio 44135

November 2011

Trade names and trademarks are used in this report for identi fi cation only. Their usage does not constitute an of fi cial endorsement, either expressed or implied, by the National Aeronautics and Space Administration.

This work was sponsored by the Fundamental Aeronautics Program at the NASA Glenn Research Center.

Level of Review : This material has been technically reviewed by technical management.

Available from NASA Center for Aerospace Information National Technical Information Service 7115 Standard Drive 5301 Shawnee Road Hanover, MD 21076–1320 Alexandria, VA 22312 Available electronically at http://www.sti.nasa.gov

Axisymmetric Calculations of a Low-Boom Inlet

in a Supersonic Wind Tunnel

Rodrick V. Chima and Stefanie M. Hirt National Aeronautics and Space Administration Glenn Research Center Cleveland, Ohio 44135 Robert Reger University of Florida Gainesville, Florida 32603 Abstract This paper describes axisymmetric CFD predictions made of a supersonic low-boom inlet with a facility diffuser, cold pipe, and mass flow plug within wind tunnel walls, and compares the CFD calculations with the experimental data. The inlet was designed for use on a small supersonic aircraft that would cruise at Mach 1.6, with a Mach number over the wing of 1.7. The inlet was tested in the 8-ft by 6-ft Supersonic Wind Tunnel at NASA Glenn Research Center in the fall of 2010 to demonstrate the performance and stability of a practical flight design that included a novel bypass duct. The inlet design is discussed here briefly. Prior to the test, CFD calculations were made to predict the performance of the inlet and its associated wind tunnel hardware, and to estimate flow areas needed to throttle the inlet. The calculations were done with the Wind-US CFD code and are described in detail.

After the test, comparisons were made between computed and measured shock patterns, total pressure recoveries, and centerline pressures. The results showed that the dual-stream inlet had excellent performance, with capture ratios near one, a peak core total pressure recovery of 96 percent, and a large stable operating range. Predicted core recovery agreed well with the experiment but predicted bypass recovery and maximum capture ratio were high. Calculations of off-design performance of the inlet along a flight profile agreed well with measurements and previous calculations.

I. Introduction In October and November of 2010 two similar low-boom supersonic inlets (LBSI) were tested in the 8-ft by 6-ft 1, 2 Supersonic Wind Tunnel (SWT) at NASA Glenn Research Center (GRC) . The tests were conducted by a team of researchers from NASA GRC, Gulfstream Aerospace Corporation (GAC), the University of Illinois at Urbana- Champaign (UIUC) and the University of Virginia (UVA). The inlets were designed for use on a small aircraft that would cruise at a Mach number of 1.6 at 45,000 feet . The inlets were designed to capture nearly 100 percent of the incoming supersonic flow, and to have low or zero external cowl angles to minimize external shock waves and thereby reduce the sonic boom signature of the aircraft. The two inlets, known as the single- and dual-stream inlets, are compared in Figure 1. They had identical centerbodies, struts, and cowl diameters. Both inlets were tested with and without flow control devices, including micro-ramps on the forebody, and micro-ramps or vane vortex 4  7 generators in the subsonic diffuser. The flow control devices will be covered in other publications and are not discussed here.

The single-stream inlet was tested to demonstrate a zero cowl angle design, and to provide CFD validation data.

An inlet with an external cowl angle of zero degrees would theoretically produce no external disturbances, if it could be made infinitely thin. The single-stream inlet had a single flow path leading directly to the aerodynamic interface plane (AIP.) A glass window was installed in the cowl and a video camera was mounted externally and used to view pressure sensitive paint (PSP) and oil flow visualization on the centerbody . The simple axisymmetric geometry and the flow visualization data make this inlet especially useful for validation of CFD codes. The single-stream inlet and the results of these experiments will also be described elsewhere.

NASA/TM—2011-217224 1 The dual-stream inlet was intended to model flight hardware. It had a low external cowl angle of eight degrees, and had two concentric flow paths. The inner, or core, flow path led to the AIP, where the engine would be attached. The outer, or bypass, flow path was designed to route the low momentum air from the strongest part of the normal shock around the engine and gearbox, and back to the nozzle stream. The dual-stream inlet is discussed in this paper.

Models of the inlets were constructed at 1/4.86 scale for tests in the SWT. To throttle the inlets and to measure the mass flow through them, they were mounted on a facility diffuser followed by a long cold-pipe and a mass flow plug (MFP). On the dual-stream Figure 1. Comparison of the single- and dual-stream inlets.

inlet the bypass channels were throttled with interchangeable exit plates vented to the freestream.

Research team members performed many CFD analyses of the two inlets prior to the test. The analyses were done with several different CFD codes and at different levels of fidelity, ranging from design of the compression 3 6, 9 spike using a method of characteristics code to 3-D analyses of the inlets including struts and bypass geometry .

Although many CFD analyses were performed of isolated inlets before the test, little was known about how they would perform in a wind tunnel environment with all the associated hardware attached. In particular, several questions were posed before the test: • What size exit plates were needed to give the desired bypass/core mass flow ratio?

• How would the flow behave after leaving the exit plates?

• What range of travel of the MFP would give the desired inlet operating range?

To answer these questions, an axisymmetric CFD analysis was performed of the dual-stream inlet, bypass duct and exit plates, facility diffuser, cold pipe, and mass flow plug within the SWT walls. This paper describes the inlet model, the SWT test, and the axisymmetric CFD analysis. The results of the analysis are compared to the experimental data to validate the predictions, to answer the previous questions, and to explain the operation of the dual-stream inlet in more detail.

II. Dual-Stream Low-Boom Supersonic Inlet Engineers at Gulfstream Aerospace Corporation have been investigating technologies that would enable the use of a small, low-boom supersonic aircraft . Their reference aircraft is designed to cruise at 45,000 feet at a Mach number of 1.6, with an over-wing Mach number of 1.7. The aircraft would use radical aerodynamic shaping and a Quiet Spike to minimize sonic boom. The inlets make up much of the frontal area of the aircraft, so they were designed carefully to minimize their contribution to the overall sonic boom characteristics. Axisymmetric, external- compression inlets were chosen for simplicity.

Reference 3 also describes an innovative approach for designing the external compression surface of the inlet.

This approach gives higher recovery and lower sonic boom overpressures than conventional designs. Inlets designed 11 12, 13 with this approach have been tested experimentally at small scale , modeled computationally , and shown to have good recovery and stability characteristics.

In the present study a large-scale dual-stream inlet was designed, analyzed computationally, and tested experimentally. The inlet was designed to reduce the Mach number from 1.7 over the wing to about 0.65 at the fan face, with high total pressure recovery, minimal distortion, and with minimal external over pressures.

The dual-stream inlet consists of an isentropic compression spike, a curved throat region, and a subsonic diffuser. The compression spike was designed to produce a variable-strength normal shock at the throat. The Mach number ahead of the shock is about 1.3 on the centerbody, which is low enough to avoid boundary-layer separation.

The Mach number at the cowl is close to the free stream value of 1.7, which generates a strong normal shock with high total pressure loss. A novel bypass duct was used to capture the high-loss flow near the cowl and divert it NASA/TM—2011-217224 2 around the engine and back to the nozzle stream. This removes the high-loss flow from the core stream and maximizes the total pressure recovery at the fan face.

The dual-stream inlet was sized for a Rolls-Royce Tay engine, whose gearbox extends almost 160 degrees around the perimeter. The bypass duct was used to keep the engine gearbox out of the external flow, where it would contribute to boom. The duct used 10 curved vanes to direct the flow around the gearbox region. To keep the bypass flow subsonic it was necessary to increase the cowl area downstream of the lip, which led to an eight-degree external cowl angle.

Figure 2. Dual-stream inlet in the NASA Glenn Figure 3. Equivalent axisymmetric model of the inlet 8-ft by 6-ft Supersonic Wind Tunnel.

in the wind tunnel.

III. 8-ft by 6-ft Supersonic Wind Tunnel Test The inlets were tested in the SWT at NASA Glenn Research Center . The test section of the tunnel is 8 feet high by 6 feet wide, and 23.5 feet long. The tunnel walls are perforated and surrounded by an evacuated balance chamber to remove the wall boundary layers. Figure 2 shows a photograph of the dual-stream inlet in the SWT test section.

For this test the tunnel was run in a closed-loop cycle, with the air passing through a dryer and a cooler to permit continuous operation. Data was taken at Mach numbers of 0.5 and 1.4 to 1.8. The SWT is an atmospheric tunnel that operates at high dynamic pressure and temperature. At M = 1.8 the nominal total pressure is 23.2 psia and the total temperature is 631 R. The models and instrumentation were designed to handle those conditions.

Gulfstream engineers performed the initial aerodynamic and mechanical design of the models, and TriModels, Inc. in Huntington Beach, CA did the detailed design and fabrication. The models were instrumented with a total of 241 static or total pressure taps on the centerbody, cowl, two boundary-layer rakes, and eight AIP rakes. Standard SAE ARP1420 total pressure rakes were located at the AIP, using 8 rakes with 5 probes located at the centers of equal areas. A sixth probe was added to each rake near the hub to better resolve the hub boundary layers, which were expected to be large.

The inlet models were mounted on a hydraulic strut that could be rotated to vary the angle of attack from -2 to +5 degrees. Yaw angles could not be varied. The core stream of each model expanded through a facility diffuser into a 16-inch diameter cold pipe. The core flow was throttled using a hydraulically actuated conical mass flow plug at the exit of the cold pipe. The mass flow plug was calibrated to give the core-stream mass flow to within a few tenths of a percent.

The dual–stream bypass channels were throttled using interchangeable choke plates at the channel exit. Baseline exit plates were designed to produce a mass flow ratio of  m /  m = 0.7 . These plates were designated the A ex bypass core = 1.0 plates. Since the plates had sharp, semi-annular openings, they were not expected to pass the full 1-D flow but some lesser amount. Thus, four sets of plates were made with relative areas A = 1.0, 1.1, 1.2, and 1.3. The CFD ex described here was used to investigate the effects of exit plate area, and to predict the exit plate area that would give the desired mass flow ratio. The choke plate area was then verified by trying the different plate sets early in the test.

The dual–stream inlet also had total pressure rakes at the exit of each bypass channel, with five probes in each rake. The mass flow through each channel was estimated using the average total pressure, the tunnel total NASA/TM—2011-217224 3 temperature, and by assuming that M = 1.0 at the exit plate. A discharge coefficient CD = 0.873 was needed to correct the overall capture ratio to 1.0 at M = 1.8 with the mass flow plug fully open. Since the discharge coefficient probably varies with operating conditions, the accuracy of bypass flow rate measurement is uncertain.

Large 26.5-inch diameter windows provided optical access to the test section, and a schlieren system was used to visualize the flow ahead of the inlet. A high-speed Phantom camera operating at 2000  4000 frames per second recorded steady or unsteady schlieren images.

IV. Computational Model A. Computational Grids For the axisymmetric CFD model the 8- by 6-foot cross section of the SWT was modeled as a circle with an area of 48 ft , i.e., a radius of 3.91 ft. as shown in Figure 3.

Figure 4. Computational grid for the inlet, facility diffuser, cold pipe, and mass flow plug.

The computational grid for the inlet, bypass, facility diffuser, cold pipe, and mass flow plug within the tunnel walls was generated using Pointwise . The grid, shown mirrored top-to-bottom in Figure 4, had 144,525 points in 7 zones. The proportions of this side view of the axisymmetric grid are almost the same as the side view of the tunnel.

+  5 The grid spacing at the walls was inches, giving y = 1 to 2 at the first point off the walls. Leading edges 1  10 of the cowl and splitter were modeled as 2:1 ellipses with 6-10 points along each surface, to give adequate resolution of bow shocks.

The inlet, bypass, and external zones were comparable to grids used in Ref. 13, where a grid refinement study showed that the grid resolution was sufficient to predict the inlet recovery within 0.13 percent of a much coarser grid. The remaining zones had similar resolution, but they were not tested explicitly here.

The bypass duct of the actual inlet model was not axisymmetric. It was split into 10 curved passages designed to route the inlet flow around a 160-degree area where the gearbox of an engine would be located. Half way through the duct the 10 passages merged into five passages that were partially closed by the exit plates described earlier. To model the Figure 5. Bypass duct exit plate model.

NASA/TM—2011-217224 4 gearbox blockage using an axisymmetric CFD model, the radius of the cowl inner mold line was reduced to make the axisymmetric passage area equal to the actual 3-D area at each axial location. The outer mold line was not modified. This is seen in Figure 5, which shows an enlargement of the grid near the bypass exit plates. While the actual cowl on the model was a thin shell, the CFD cowl was very thick to account for gearbox blockage.

The bypass exit plates were modeled computationally by applying inviscid wall boundary conditions over part of the radial grid line at the location of the plates, also shown in Figure 5. The height of the inviscid wall was chosen to leave an axisymmetric area equivalent to the semi-annular area of the exit plates. Slight modifications were made to the grid clustering in this region to accommodate the four different plate areas with A ranging from 1.0 to 1.3.

ex Due to limitations of the axisymmetric model, changes in the cowl geometry, and the crude exit plate model, the CFD analysis was not expected to give detailed information about the bypass flow. However, it was expected to give reasonable predictions of bypass recovery characteristics, which will be shown later.

In the experiment, the core flow was throttled using a 16-inch diameter hydraulically actuated mass flow plug , shown in outline in Figure 6. For the computations, a grid was generated around the MFP, shaft, and hydraulic cylinder using Pointwise . The MFP geometry was specified using a database surface, and the grid was attached to the database. Translating the database in Pointwise automatically transformed the surrounding grid, allowing grids to be Figure 6. Mass flow plug translation.

produced at new MFP positions with a single operation. When the calculations were made, Pointwise did not export grids in a format suitable for Wind-US, so the grids were imported to Gridgen, where boundary conditions were applied using a glyph script. Thirty different grids were generated to model all of the exit plates and MFP positions considered in this paper.

B. CFD Solution Scheme 18, 19 The dual-stream inlet was analyzed using the Wind-US code . The Reynolds-averaged Navier-Stokes (RANS) equations were discretized using the Roe upwind scheme with a minmod limiter and the Menter SST turbulence model. The equations were solved using an alternating-direction-implicit (ADI) time-marching scheme with a Courant number of 1.0.

Boundary conditions were specified as follows: • Tunnel inlet conditions were supersonic inflow with Mach number specified.

• Tunnel exit conditions were all extrapolated.

• The actual tunnel had porous walls to remove wall boundary layers and reduce shock/boundary-layer interaction. The bleed flow was unknown, so the tunnel walls were modeled using inviscid wall boundary conditions.

• Viscous wall boundary conditions were used for the entire inlet model, except for the bypass exit plates described above.

The solution was initialized to M = 0.6 and run a few hundred iterations to establish subsonic flow in the facility diffuser and cold pipe. Then the freestream conditions were reset to M = 1.7, and all the external flow blocks were reinitialized. The solution was run 15,000 iterations, which converged the capture ratio and recovery to plotting accuracy.

Subsequent cases were restarted from previous solutions and run 15,000 iterations to convergence. All calculations were run on a cluster of 6 CPUs running at 3.2 GHz, which took about 1.5 hours per case.

V. Comparison of CFD and Test Results A. Bypass Exit Plate Selection One objective of the present work was to determine the size of bypass exit plates that would give the desired flow rates through the inlet. CFD predictions of inlet performance maps were made for four relative plate sizes, A = 1.0, 1.1, 1.2, and 1.3.

ex NASA/TM—2011-217224 5 The computed performance maps, sometimes known as cane curves because of their shape, are shown in Figure 7. For each exit plate area, the MFP position was varied to produce a curve of core total pressure recovery versus inlet capture ratio, where capture ratio = (  m +  m ) / (  V  r ) .

core bypass   cowl The A = 1.0 plate had low recovery ex and a maximum capture ratio less than 0.95. The A = 1.1 plate had better ex recovery and a maximum capture ratio of 0.98. The two largest plates, A = 1.2 ex and 1.3, had the highest recoveries and maximum capture ratios of 0.99. It was clear that the two smaller plate areas could not pass the desired flow through the bypass stream, so the A = 1.2 ex plates were recommended for the test.

Some initial experimental data was taken using the plates with A = 1.2.

ex Later these plates were replaced with each of the other three sets, and one cane curve was generated for each set.

The results were similar to the Figure 7. Computed core recovery vs. capture ratio for predictions, and the plates with A = ex four bypass exit plate areas.

1.2 were used for the remainder of the tests.

A second objective of this work was to determine the range of MFP travel that would be needed to cover the desired inlet operating range. A nominal core mass flow rate was estimated by assuming a core recovery of 0.95 and an AIP Mach number of 0.65. The MFP plug exit area was found with the continuity equation, and the plug position was found from the plug angle. A CFD solution for this position gave a capture ratio around 0.97. Subsequent calculations were made by moving the MFP in increments of 0.1 or 0.2 inches. The maximum opening occurred when the core flow choked. The minimum opening occurred when the capture ratio was around 0.9, which was thought to be near the stall point of the engine. The total range of MFP travel was found to be one inch for all the cases shown in Figure 7.

In the experiment the MFP was set fully open to minimize blockage during SWT startup. The plug was then closed in regular increments until the inlet went into buzz, at a capture ratio of 0.60 for this case. No attempt was made to determine the buzz point computationally.

B. Design Point Performance This section compares the CFD predictions of the dual-stream inlet using the exit plates with A = 1.2 to the ex experimental data at the design point, M = 1.7. First the CFD results are used to describe the overall flow, and then detailed comparisons are made of AIP profiles, recovery and mass flow characteristics, and a centerbody pressure distribution.

NASA/TM—2011-217224 6 Figure 8. Schlieren image and computed Mach number contours, M = 1.7.

The overall flow field is shown in Figure 8, where a schlieren image is compared to computed Mach number contours. The images were taken at equivalent MFP positions near the peak recovery operating point, and the shocks line up nicely. The compression waves from the spike extend slightly outside the cowl, indicating that the inlet is operating just below full capture.

The core flow decelerates to M  0.65, the desired fan face Mach number, at the AIP. The flow decelerates further in the facility diffuser, which has a large recirculating region along the centerline. The computed size of this region depends on MFP position and on the turbulence model, and it probably contributes to an under prediction of the computed core flow discussed later. The core flow chokes near the exit of the MFP, and then expands to supersonic speeds downstream.

The bypass flow chokes at the exit plates, over expands to M  3.0 just downstream, and then shocks to subsonic speeds along the cold pipe. This high loss flow hugs the cold pipe to the exit of the grid.

Recoveries were measured at the AIP using eight total pressure rakes spaced 45 degrees apart. Six static probes and one dynamic probe were located on each rake, and wall static pressures were measured on the centerbody. Figure 9 shows spanwise profiles of recovery at the operating points indicated by diamonds in Figure 7. Seven of the eight rakes were located away from wakes from the centerbody struts, and they measured nearly identical recoveries (blue circles). The axisymmetric solution (solid black line) agrees closely with these seven rakes, except in the hub boundary layer, where the computed recovery is 2-3 percent higher than the measured recoveries. One rake was located at bottom dead center immediately behind a strut, and measured recoveries 5-6 percent lower than the rest (red squares). The axisymmetric CFD model Figure 9. Recovery profiles along the AIP rakes.

does not include the struts and cannot predict this feature.

NASA/TM—2011-217224 7 Overall core recoveries are compared in Figure 10. Two curves are shown for measured recovery – one computed using all eight rakes, and one computed by ignoring the wake behind the strut. The CFD results are about 0.3 percent higher than the 8-rake curve, and about 0.3 percent lower than the 7-rake curve, consistent with the spanwise profiles shown above.

The maximum computed capture ratio is about one percent higher than the measured value. As mentioned in Section III, there is some uncertainty in the measured bypass flow rate that may contribute to the discrepancy. Later we will show that there is some discrepancy in the computed mass Figure 10. Core recovery vs. capture ratio.

flow split between the two channels that also affects these results.

The minimum computed capture ratio was chosen to cover the expected operating envelope of an aircraft engine. The minimum experimental capture ratio occurred when the inlet went into buzz at a capture ratio of 60 percent for this case. The experimental buzz points were omitted here for clarity.

The two black diamonds indicate computed and measured points at the same MFP position. These two points were compared in the schlieren image (Figure 8), the spanwise profiles (Figure 9), and later for centerbody pressures (Figure 13).

Although the two points differ by three percent in capture ratio, other quantities Figure 11. Bypass recovery vs. capture ratio.

compare well at the same MFP position.

Overall bypass recoveries are compared in Figure 11. The measured recovery is an area-weighted average of 25 probes in five bypass channels, while the computed recovery was integrated across the grid at the axial location of the rakes. The computed bypass recoveries are about 0.8 percent higher than the data. Averaging the computed results at the approximate rake locations increases the discrepancy somewhat. Since the axisymmetric CFD model does not include sidewall losses, secondary flows, or other 3-D effects, it is not surprising that it over predicts the bypass recovery.

Discrepancies in the mass flow split are examined in Figure 12, where corrected Figure 12. Corrected mass flow rate vs. mass flow plug mass flow for the two streams is plotted position.

against MFP position. The corrected mass flow is defined by  m =  m  /  , where c NASA/TM—2011-217224 8  = T / T is the total temperature ratio and  = P / P is the total pressure ratio. Nominal tunnel operating 0 0 ref 0 0 ref conditions were used both for the reference conditions and for the CFD. Use of corrected flow removes variations in tunnel total conditions between data points.

The core flow was measured with a calibrated mass flow plug, and is believed to be correct to within a fraction of a percent . The computed core flow matches the measured core flow almost exactly at low MFP positions (plug closed), but under predicts the maximum core flow by 1.1 lb/sec (plug open). This discrepancy was not seen in calculations of the isolated inlet , and may be caused here by the large recirculating region in the facility diffuser discussed earlier.

The experimental bypass flow was estimated from bypass total pressure rake measurements and a discharge coefficient calibrated at M = 1.8, using the procedure described earlier. Since the discharge coefficient probably varies with Mach number and capture ratio, the accuracy of the bypass flow measurement is unknown.

The computed bypass flow rate is about 11 percent high, which could be due partly to experimental uncertainty, but it is more likely due to the simplified exit plate model used in the computations. In the experiment the exit plates had semi-annular slots covering 40 degrees of arc, with a sharp lip on each edge. In the computations the exit plates were modeled as a full annular slot covering 360 degrees, with a sharp lip on the bottom edge modeled as an inviscid wall. The experimental and modeled slots had the same areas, and thus would have the same 1-D flow rates.

However, viscous and 3-D effects in the experiment would probably give a lower actual flow rate.

Thus the CFD under predicts the core flow and over predicts the bypass flow and total capture ratio. Throughout this paper the CFD and measurements have been compared at equivalent MFP positions rather than capture ratios.

As shown in the next figure, that strategy tends to match static pressures closely.

Figure 13 compares computed and measured pressure coefficients along the centerbody, where Cp = ( p  p ) / ( p  p )  0   .

The two results were taken at the same MFP position, shown by the black diamonds in Figure 10. The computations agree very well with the measurements, except for a region where five struts were attached to the centerbody. These struts are not included in the axisymmetric CFD model and their effect is not seen in the computations.

Figure 13. Pressure distribution along the centerbody, M = 1.137.

C. Off-Design Performance A series of calculations was run to simulate the behavior of the inlet along a flight profile. The MFP position was fixed, and the upstream Mach number was varied from nominally 1.8 to 1.3 in increments of 0.1. This resulted in approximately constant corrected core flow for the six operating points.

NASA/TM—2011-217224 9 M = 1.779 M = 1.452 M = 1.664 M = 1.352 M = 1.555 M = 1.253 (Schlieren image at different MFP position) (No data was taken at this Mach number) Figure 14. Variation of schlieren images and computed Mach number contours with tunnel Mach number.

Color bar ranges from M = 0.0 to 1.9.

Mach number contours with corresponding schlieren images at the six operating points are shown in Figure 14.

At Mach 1.779 all the compression waves from the spike enter the cowl because the inlet is at full capture. As the Mach number decreases the wave angles decrease, the normal shock moves forward on the spike, and the inlet spills more flow. In all cases the computed shock positions match the schlieren images, except at M = 1.555 where no schlieren image was taken at the correct MFP position. And in all cases the Mach number stays around 0.65 at the AIP, which is the design fan face Mach number. At M = 1.253 a normal shock spans the tunnel at the bypass exit.

No data was taken at this Mach number, but the normal shock was observed to pass across the inlet every time the tunnel was started or stopped.

Core recovery is plotted as a function of Mach number in Figure 15. The computed recovery curve (green triangles) is in excellent agreement with the measured recovery (black circles) and a previous inlet-fan calculation (red dots.) For comparison, the recovery of a pitot inlet for an F-16 aircraft is also shown (dashed line). The recovery of the F-16 inlet is very similar to the present inlet up to M = 1.4, but then it decreases rapidly with normal shock losses. The core recovery of the present inlet stays high up to M = 1.6, partly due to the isentropic compression design, and partly because losses are confined to the bypass stream.

NASA/TM—2011-217224 10 VI. Summary and Conclusions This paper describes axisymmetric CFD predictions made of a low-boom dual-stream inlet, a facility diffuser, cold pipe, and mass flow plug in a supersonic wind tunnel. The inlet was designed for use on a small supersonic aircraft that would cruise at a Mach number of 1.6, with an over-wing Mach number of 1.7. It was tested in the 8-ft by 6-ft Supersonic Wind Tunnel at NASA Glenn Research Center in the fall of 2010.

The paper discusses the inlet design and the test briefly, and discusses the calculations in detail.

Test results showed that the dual-stream inlet had excellent performance, with capture ratios near one and peak core total pressure recoveries of 96 percent at the design point. The bypass Figure 15. Inlet core recovery vs. Mach number.

recovery was much lower, between 84 and 87 percent.

CFD predictions were made with the Wind-US CFD code on a grid with 144,525 grid points. The Roe upwind differencing scheme and SST turbulence model were used. Bypass duct blockage was modeled by decreasing the radius of the outer bypass wall. Bypass exit plates were modeled by applying inviscid wall boundary conditions along grid lines normal to the inner bypass wall. The mass flow plug grid was transformed for each plug location.

Predictions were compared with the experimental data, and the following results were found: • Computed shock positions agreed well with schlieren images.

• The computations were used to select the initial bypass plate area used in the experiment. This area was expected to give nearly full capture with the mass flow plug wide open. Four plate areas were tested, and the predicted plate area gave the desired capture ratio.

• The calculations slightly under predicted the core flow, possibly due to blockage from a large recirculating region predicted in the facility diffuser. It is not known if this recirculation occurred in the experiment.

• The calculations over predicted the bypass flow, probably due the simple exit plate model used in the calculations.

• Predicted core recoveries were within 0.3 percent of the measured recoveries.

• Predicted bypass recoveries were 0.8 percent higher than the measured recoveries, probably due to lack of 3-D effects and viscous walls in the axisymmetric CFD model.

• Predicted centerbody pressure distributions agreed very well with the experiment, except near struts that were not included in the axisymmetric analysis.

• The CFD was used to predict off-design performance of the inlet for a simulated flight profile. The predicted core recovery agreed well with the experiment, and with a previous inlet/fan calculation.

Despite discrepancies between the computed and measured flow rates, the computations provided a useful system-level model of the inlet with all its associated wind-tunnel hardware. They were used to select the bypass exit plate areas, and to specify mass flow plug travel before the test. Finally, they have provided the only look at the SWT flow field away from the schlieren window.

References 1. Hirt, S. M., Vyas, M. A., Chima, R. V., Reger, R. W., and Wayman, T. R., "Experimental Investigation of a Large-Scale Low- Boom Inlet Concept," AIAA 29th Applied Aerodynamics Conference, June 27-30, 2011 (to be published.)

2. Conners, T. R. and Wayman, T. R., “The Feasibility of a High-Flow Nacelle Bypass for Low Sonic Boom Propulsion th System Design,” AIAA 29 Applied Aerodynamics Meeting, June 27-30, 2011 (to be published.)

3. Conners, T. R., and Howe, D. C., “Supersonic Inlet Shaping for Dramatic Reductions in Drag and Sonic Boom Strength,” AIAA Paper 2006-30, Jan. 2006.

4. Rybalko, M., Loth, E., Chima, R. V., Hirt, S. M., and DeBonis, J. R., “Micro Ramps for External Compression Low-Boom Inlets,” NASA TM-2010-216350, May 2010.

NASA/TM—2011-217224 11 5. Vyas, M. A., Hirt, S. M., Chima, R. V., Davis, D. O., Wayman, T. R., “Experimental Investigation of Micro-Vortex Generators on a Low Boom Supersonic Inlet,” 29th AIAA Applied Aerodynamics Conference, June 27-30, 2011 (to be published.)

6. Gillen, T. and Loth, E., “Vortex Generators for a Dual-Stream Low-Boom Inlet,” AIAA 29th Applied Aerodynamics Conference, June 27-30, 2011 (to be published.)

7. Rybalko, M. and Loth, E., “Vortex Generators for a Single-Stream Low-Boom Inlet,” AIAA 29th Applied Aerodynamics Conference, June 27-30, 2011 (to be published.)

8. Herges, T. G., Dutton, J. C., Elliott, D. S., Hirt, S. M., and Bencic, T. J., “Surface Flow and PSP Measurements in the Large- th Scale Low-Boom Inlet,” AIAA 29 Applied Aerodynamics Meeting, June 27-30, 2011 (to be published.)

th 9. Chima, R. V., “Computational Analysis of a Low-Boom Supersonic Inlet,” AIAA 29 Applied Aerodynamics Meeting, June 27-30, 2011 (to be published.)

10. Wilson, J. R., “Quiet Spike Softening the Sonic Boom”, Aerospace America , Oct. 2007, pp. 38- 42.

11. Conners, T. R., Merret, J. M., Howe, D. C., Tacina, K. M., and Hirt, S. M., “Wind Tunnel Testing of an Axisymmetric Relaxed External Compression Inlet at Mach 1.97 Design Speed,” AIAA Paper 2007-5066, July, 2007.

12. Hirt, S. M., Tacina, K. M., Conners, T. R., Merret, J. M., and Howe, D. C., “CFD Results for an Axisymmetric Isentropic Relaxed Compression Inlet,” AIAA Paper 2008-0092, Nov. 2008. Also NASA TM-2008-215416.

13. Chima, R. V., Conners, T. R., and Wayman, T. R., “Coupled Analysis of an Inlet and Fan for a Quiet Supersonic Jet,” AIAA Paper 2010-479, Jan. 2010. Also NASA TM-2010-216350.

14. Soeder, R. H., “NASA Lewis 8- by 6-Foot Supersonic Wind Tunnel User Manual,” NASA TM-105771, Feb. 1993.

15. SAE S-16 Committee, ARP 1420, Revision B, “Gas Turbine Inlet Flow Distortion Guidelines,” Society of Automotive Engineers, Feb. 2002.

16. Pointwise and Gridgen CFD mesh generation software, Pointwise, Inc., 213 S. Jennings Ave., Fort Worth, TX 76104.

17. Friedlander, D. J., Saunders, J. D., and Frate, F. C., “Computational Fluid Dynamics Analysis of the NASA Glenn Research Center 16  Mass Flow Plug,” (NASA TM to be published.)

18. Towne, C. E., “Wind-US User’s Guide, Version 2.0,” NASA TM-2009-215804, Oct. 2009.

19. Nelson, C. C., “An Overview of the NPARC Alliance’s Wind-US Flow Solver,” AIAA Paper 2010-27, Jan. 2010.

20. Hunter, L. G., and Cawthon, J. A., “Improved Supersonic Performance for the F-16 Inlet Modified for the J79 Engine,” J.

Propulsion , Vol. 1, Jan. – Feb. 1985.

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1. REPORT DATE (DD-MM-YYYY) 2. REPORT TYPE 3. DATES COVERED (From - To) 01-11-2011 Technical Memorandum 5a. CONTRACT NUMBER 4. TITLE AND SUBTITLE Axisymmetric Calculations of a Low-Boom Inlet in a Supersonic Wind Tunnel 5b. GRANT NUMBER 5c. PROGRAM ELEMENT NUMBER 6. AUTHOR(S) 5d. PROJECT NUMBER Chima, Rodrick, V.; Hirt, Stefanie, M.; Reger, Robert 5e. TASK NUMBER 5f. WORK UNIT NUMBER WBS 984754.02.07.03.13.02 7. PERFORMING ORGANIZATION NAME(S) AND ADDRESS(ES) 8. PERFORMING ORGANIZATION REPORT NUMBER National Aeronautics and Space Administration E-17907 John H. Glenn Research Center at Lewis Field Cleveland, Ohio 44135-3191 9. SPONSORING/MONITORING AGENCY NAME(S) AND ADDRESS(ES) 10. SPONSORING/MONITOR'S ACRONYM(S) National Aeronautics and Space Administration NASA Washington, DC 20546-0001 11. SPONSORING/MONITORING REPORT NUMBER NASA/TM-2011-217224 12. DISTRIBUTION/AVAILABILITY STATEMENT Unclassified-Unlimited Subject Category: 07 Available electronically at http://www.sti.nasa.gov This publication is available from the NASA Center for AeroSpace Information, 443-757-5802 13. SUPPLEMENTARY NOTES 14. ABSTRACT This paper describes axisymmetric CFD predictions made of a supersonic low-boom inlet with a facility diffuser, cold pipe, and mass flow plug within wind tunnel walls, and compares the CFD calculations with the experimental data. The inlet was designed for use on a small supersonic aircraft that would cruise at Mach 1.6, with a Mach number over the wing of 1.7. The inlet was tested in the 8-ft by 6-ft Supersonic Wind Tunnel at NASA Glenn Research Center in the fall of 2010 to demonstrate the performance and stability of a practical flight design that included a novel bypass duct. The inlet design is discussed here briefly. Prior to the test, CFD calculations were made to predict the performance of the inlet and its associated wind tunnel hardware, and to estimate flow areas needed to throttle the inlet. The calculations were done with the Wind-US CFD code and are described in detail. After the test, comparisons were made between computed and measured shock patterns, total pressure recoveries, and centerline pressures. The results showed that the dual-stream inlet had excellent performance, with capture ratios near one, a peak core total pressure recovery of 96 percent, and a large stable operating range. Predicted core recovery agreed well with the experiment but predicted bypass recovery and maximum capture ratio were high. Calculations of off- design performance of the inlet along a flight profile agreed well with measurements and previous calculations.

15. SUBJECT TERMS Supersonic flow; Sonic boom; Inlet; Computational fluid dynamics (CFD) 16. SECURITY CLASSIFICATION OF: 17. LIMITATION OF 18. NUMBER 19a. NAME OF RESPONSIBLE PERSON ABSTRACT OF STI Help Desk (email:help@sti.nasa.gov) PAGES a. REPORT b. ABSTRACT c. THIS 19b. TELEPHONE NUMBER (include area code) PAGE UU U U 443-757-5802 U Standard Form 298 (Rev. 8-98) Prescribed by ANSI Std. Z39-18

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