ENGINEERING RESEARCH INSTITUTE UNIVERSITY OF MICHIGAN ANN ARBOR Final Report WIND-TUNNEL TESTS ON OPEN-SIDED BUILDING MODELS E. J. LESHER Project 2295 SANDIA CORPORATION CONTRACT NO. AEC AT(29-1)-789 ALBUQUERQUE, NEW MEXICO February, 1955

ENGINEERING RESEARCH INSTITUTE * UNIVERSITY OF MICHIGAN SUMMARY Tests of pressure distributions on both upper and lower surfaces of roofs of models of open-sided buildings were made in the University of Michigan low-speed wind tunnel. Results are presented in terms of nondimensional coefficients, tabulated and plotted. ACKNOWLEDGMENT The project was initiated through Rackham Research Grant R-277 in the Civil Engineering Department of the University. "I I ii

ENGINEERING RESEARCH INSTITUTE * UNIVERSITY OF MICHIGAN - WIND TUNNEL The University of Michigan low-speed wind tunnel is of the doublereturn closed-throat type. The test-section cross section is shown in Fig. 1. GROUND BOARD 4, and 5. 2 x 4's. During the tests a ground board was used, as shown in Figs. 1, 2, The ground board was made of 3/4" plywood supported on longitudinal The leading edge of the ground board was rounded. MODELS Dimensions of the models used are shown in Fig. 3. Three models were constructed, for B = 20, 25, and 30~. The material used was 3/8" fir plywood. The pressure orifices were provided by means of Jessall pressure tape. This tape is 1" wide and about 1/16" thick and has twenty tubes. The tape was cemented to the model, and taken through the ground board as shown in Fig. 5. Below the test section, connections were made to a 40-tube inclined manometer. Orifices were punched into the tubes of the tape. Figures 6 and 7 give the tape positions. as far to the left as possible, looking upstream. "quarter point" and "center" tapes were located at ter of the 15" internal dimension of the model. The "end" tapes were placed The center lines of the the quarter point and cen The axes of the orifice locations sloped as shown in Figs. 6 and 7. The tape-tube spacing is approximately 0.045". This information permits more precise lateral locations of orifices, if desired. The roof faces are referred to as "front", "rear", "upper", and "lower", as shown in Figs. 6 and 7. Longitudinal orifice positions are given in terms of x = a/b, the nondimensional distance from the upstream edge of a roof face, as shown in Fig. 6. 1

I ENGINEERING RESEARCH INSTITUTE * UNIVERSITY OF MICHIGAN VELOCITY DISTRIBUTION The velocity distribution at a section 5 feet downstream from the upstream edge of the ground board was measured without model by means of a pitot static tube. The results are given in Fig. 8. Here, V is the air velocity; Vo is the value of V for the contour marked V/Vo = 1.000. BOUNDARY-LAYER SURVEY Boundary-layer measurements were made at three positions on the center line of the ground board without model, by means of a total head tube. The results are given in Fig. 9. Here, V is the air velocity; Vo is the velocity just ouside the boundary layer. REGULATION OF TUNNEL SPEED The factor relating dynamic pressure at the model position and pressure difference at two static orifices in the contraction cone was obtained with no model in the tunnel. The pressure difference at the static orifices was then used as the measure of tunnel speed during the pressure tests. PRESSURE TESTS AND RESULTS Pressure tests were made for ~ = 20, 25, and 30~, with orifices at end, quarter point, center, upper, and lower. Tests were made one spanwise station at a time; end, quarter point, or center. Only the two pressure tapes in use, upper and lower, were present on the model. The other four tapes were removed, thus keeping tape-interference effects at a minimum. The tests were run at dynamic pressure, q = 3 cm, H20 = 6.13 lb/ft2, corresponding to velocity V = 71.9 ft/sec under standard sea-level conditions. The average temperature during tests was 76~F, and average pressure was 29.0 in Hg, corresponding to relative density a = 0.938. Actual test velocities hence averaged 74.5 ft/sec. The results of the tests are given in Tables 1 through 11 and in Figs. 10 through 28. Tables 1 through 9 and Figs. 10 through 27 present pressures in terms of the pressure coefficient P, where the following definitions are used: I - - 2

ENGINEERING RESEARCH INSTITUTE * UNIVERSITY OF MICHIGAN p = P-Po q p = static pressure at orifice, Po = static pressure of uniform stream, q = 1/2 p Vo = dynamic pressure of uniform stream, p = mass density of air, and Vo = velocity of uniform stream. The areas between the curves of Figs. 10 through 27 were measured, giving values of the section normal force coefficient, c n - normal force/unit span n roof width parallel to surface x q The results are tabulated in Table 10 and plotted in Fig. 28. In this figure, distance from end of roof y = span of roof The areas under the curves of Fig. 28 were measured, giving values of normal force on roof CN = N area of roof x q Values of lift and drag coefficient were calculated, where -CL, =lift on roof projected area of roof in top view x q v - _ drag on roof D projected area of roof in top view x q CL = C CD = -CN tan / (front roof) CD = CN tan B (rear roof) The lift is the aerodynamic force perpendicular to the wind, while drag is the force parallel to the wind. 3

ENGINEERING RESEARCH INSTITUTE * UNIVERSITY OF MICHIGAN Note that these force coefficients are based on the are> of.a particular roof, front or rear, and not on total roof area. For civil engineering purposes a drag coefficient based on projected area of roof in front view may be desired. This is defined as CF = total drag of front and rear roofs projected area in front view x q CNfront roof + Nrear roof Values of CN, CL, CD, and CF are tabulated in Table 11. It should be noted that all forces presented are due to normal pressure and do not include skin-friction forces. TESTS WITH BRASS-PLATE ORIFICES Some tests were made with models which had the pressure orifices in inset brass plates. The results agreed well with results using pressure tape. However, this method was not very satisfactory for the following reasons: 1. Orifices were not provided close to eaves and ridge of roof. 2. The copper tubing to orifice plates could not be well faired into the roof. 3. Plugged orifices caused trouble. These models were discarded and new models constructed for use with the pressure tape. 4

- ENGINEERING RESEARCH INSTITUTE * UNIVERSITY OF MICHIGAN TABLE 1. PRESSURES < = 20~ Orifices at End Upper Lower Orifice x P Orifice x P --' "'. -. ",.,.i~' E.... Front 1 2 3 4 5 6 7 8 9 10.033. 084.201.318.434.553.672.791.893.967.129.180.103.056.017 -.017 -.056 -.103 -.146 -.283 21 22 23 24 25 26 27 28 29 30.033 094.202. 17.424.551.679.794.901. 963 -.245 -.249 -.283 -.279 -.279 -.283 -.232 -. 069 -.197 -.124 J Rear 11 12 13 14 15 16 17 18 19 20.020.092.200.318.441.555.676.790.896.961 -.335 -.355 -.339 -. 22 -.382 -.403 -.421 -.433 -.451 -.40o 31 32 33 34 35 36 37 38 39 40.033. 090.197.311.439.553.676.791.893.963 -. 107 -. 120 -.021.120.202 -.167 -.193 -.288.000 -.249 5

ENGINEERING RESEARCH INSTITUTE * UNIVERSITY OF MICHIGAN - TABLE 2. PRESSURES < = 20~ Orifices at Quarter Point Upper Lower Orifice x P Orifice x P Front 1 2 3 4 5 6 7 8 9 10.033.084.201.320.434.553.672.791.896.969.481.416.313.223.172.112.030 -.043 -.146 -.361 21 22 23 24 25 26 27 28 29 30.033.099.206.517.440.556.679.794.9o0.963 -.373 -.365 -.339 -.539 -.345 -.352 -.249 -.249 -.185 -.219 Rear 11 12 15 14 15 16 17 18 19 20.020.090.201.320.443.553.676.791.902.963 -.395 -.382 -.365 -.378 -.4.16 -.446 -.464 -.464 -.536 -.519 31 32 33 54 35 36 37 38 39 40.039.098.197.320.443.557.676.791.895.963 -.155 -.210 -. 107.026.180.255.249.172.043 -.172 6

- ENGINEERING RESEARCH INSTITUTE * UNIVERSITY OF MICHIGAN TABLE 3. PRESSURES / = 20~ Orifices at Center Upper Lower Orifice x P Orifice x P Front 1 2 3 4 5 6 7 8 9 10.033.082.203.321.438.557.677.798.903.977.511.446.330.232.145.103.060 -.021 -.116 -.258 21 22 23 24 25 26 27 28 29 30.030.095.203.317.441.555.688.796.905.966 -.2.15 -.223 -.245 -.249 -.262 -.300 -.300 -.266 -.266 -.197 - Rear 11 12 13 14 15 16 17 18 19 20.026.097.206.326.450.565.689.804.913.977 -.305 -.305 -.313 -.345 -.361 -.386 -.403 -.412 -.378 -.356 31 32 33 34 35 36 37 38 39 40.039.099.202.322.448.561.684.799.904.972 -.232 -.258 -.223 -.133 -.039.060.094.086.009 -.146 7

- ENGINEERING RESEARCH INSTITUTE * UNIVERSITY OF MICHIGAN - TABLE 4. PRESSURES - = 25~ Orifices at End Upper Lower Orifice x P Orifice x P Front 1 2 3 4 5 6 7 8 9 10.028.081.177.308.435.561.684.818.913.972.442.352.232.133.086.026 -.004 -.047 -.094 -.309 21 22 23 24 25 26 27 28 29 30.028.075.178.304.431.555.684.816.913.968 -.425 -.403 -.442 -.476 -.485 -.498 -.524 -.545 -.459 -.356 Rear 11 12 13 14 15 16 17 18 19 20.026.081.181.308.435.559.686.818.917.972 -.335 -.330 -.335 -.361 -.378 -.403 -.429 -.455 -.476 -.494 31 32 33 34 35 36 37 38 39 4o.024.075.170.300.427.553.680.81o.905.966 -. 386 -.459 -.399 -.318 -.112.090.193.172 -.236 8

- ENGINEERING RESEARCH INSTITUTE * UNIVERSITY OF MICHIGAN - TABLE 5. PRESSURES = 250 Orifices at Quarter Point Front 1 2 3 4 5 6 7 8 9 10.026.079.175.306.433.560.683.813.913.972.742.605.494.365.279.210.124.021 -.o86 -.206 21 22 23 24 25 26 27 28 29 30.032.079.183.306.433.560.687.821.917.974 -.468 -.476 -.472 -.485 -.511 -.541 -.614 -.567 -.429 -.416 Rear 11 12 13 14 15 16 17 18 19 20.022.075.175.306.429.556.683.813.913.968 -.348 -.292 -.361 -.378 -.403 -.429 -.442 -.433 -.433 -.442 31 32 33 34 35 36 37 38 39 40.026.079.171.306.433.556.683.813.909.968 -.429 -.511 -.519 -.425 -.249 -.039.116.142. o56 -.142 9

- ENGINEERING RESEARCH INSTITUTE * UNIVERSITY OF MICHIGAN - TABLE 6. PRESSURES: = 250 Orifices at Center Front 1 2 3 4 5 6 7 8 9 10.027.o8o.176.309.434.561.685.818.917 975.730.601.481.369.309.215.137.026 -.082 -.253 21 22 23 24 25 26 27 28 29 30.026.076.175.304.433.558.687.821.921.976 -.365 -.365 -.373 -.399 -.425 -.433 -.498 -.365.433 -.356 1 Rear 11 12 13 14 15 16 17 18 19 20.032.084.185.313.438.564.690.822.921.977 -.300 -.305 -.322 -.339 -.373 -.386 -.395 -.300 -.369 -.318 31 32 33 34 35 36 37 38 59 40.028.081.177.308.437.563.690.820.918.978 -.412 -.446.485 -.442 -.399.25B.030 -.043 -. 64 -.206 - - 10

- ENGINEERING RESEARCH INSTITUTE * UNIVERSITY OF MICHIGAN -- TABLE 7. PRESSURES = 530 Orifices at End Upper Lower Orifice x P Orifice x P Front 1 2 3 4 5 6 7 8 9 10.027.079.171.299.432.562.695.816.915.974.597.412.279.163.120.o56.021 -.021 -.082 -.18o 21 22 23 24 25 26 27 28 29 30.026.o83.166.302.430.562.698.826.917.966 -.519 -.511 -.528 -.588 -.597 -.644 -. 708 -.648 -.515 -.433 Rear 11 12 13 14 15 16 17 18 19 20.026.079.169.501.440.568.699.827.929.977 -.326 -.318 -.330 -.348 -.365 -.382 -.412 -.425 -.416 -.472 31 32 33 34 35 36 37 38 39 40.026.060.166.298.426.562.690.825.921.966 -.464 -.541 -.588 -.528 -.330 -.021.197.253.086 -.099

- ENGINEERING RESEARCH INSTITUTE * UNIVERSITY OF MICHIGAN TABLE 8. PRESSURES = 30~ Orifices at Quarter Point 1 Upper Lower Orifice x P Orifice x P Front 1.028.884 21.030 -.584 2.079 ~738 22.085 -.614 3.170.584 23.162 -.614 4.298.476 24.302 -.609 5.434.382 25.426 -.614 6.562.279 26.566 -.691 7.698.197 27.702 -.734 8.819.094 28.826 -.695 9.917 -.039 29.917 -.579 10.975 - 215 30.966 - 515 Rear 11.024 -.330 31.030 -.554 12.075 -.335 32.064 -.554 13.166 -.348 33.170.665 14.302 -.378 34.302 -.601 15.438 -.399 35.427 -.506 16.566 -.395 36.563 -.296 17.698 -.459 37.692 -.039 18.826 -.468 38.820.094 19.928 -.472 39.919.073 20.977 -.481 40.964 -.172 12

I - ENGINEERING RESEARCH INSTITUTE * UNIVERSITY OF MICHIGAN TABLE 9. PRESSURES = 30~ Orifices at Center Upper Lower Orifice x P Orifice x P Front 1 2 3 4 5 6 7 8 9 10.020.102.205.329.446.567.692.810.910.978.803.622.515.429.343.266.189.107 -.034 -.021 21 22 23 24 25 26 27 28 29 30.028.104.215.334.452.573.696.822.917.977 -.437 -.450 -.416 -.455 -.515 -. 562 - 567 -.545 -.309 -.399 -a Rear 11 12 13 14 15 16 17 18 19 20.026.o89.185.306.425.546.667.788.896.981 -.026 -.197 -.292 -.309 -.335 -.552 -.339 -.300 -.283 31 32 33 34 35 36 37 38 39 40.030.094.189.312.432.556.673.790.893.972 -.437 -.511 -,592 -.601 -.571 -.459 -.322 -.185 -.099 -.176 13

ENGINEERING RESEARCH INSTITUTE * UNIVERSITY OF MICHIGAN TABLE 10 VALUES OF cn (, degrees End Quarter Point Center Front 20 -.215 -.425 -.402 25 -.553 -.750 -.670 30 -.720 -.950 -.783 Rear 20.335.480.265 25.290.200.080 50.200.095 -.110 TABLE 11 FORCE COEFFICIENTS Front Rear Whole 0, degrees CN, CL CD CN, CL CD CL CD CF 20 -.38.138.41.149.015.144.79 25 -.70.326.20.093 -.25.220.90 30 -.86.496.08.046 -.39.271.94

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