Compute the reynolds numbers and drag coefficients

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Reference no: EM131651857

Problem

Spheres will be placed in the wind tunnel and tested over a wide range of airspeeds to see how their drag varies with the airspeed. Create a Microsoft Excel spreadsheet that can be used to take the data collected in the wind tunnel and compute the Reynolds numbers and drag coefficients.

Both the vacuum and the dynamic pressure were measured using Dwyer gage-oil manometers scaled to read millimeters of water. Assume the density of the liquid in these manometers is ρm, =1000 kg/m3 when you compute the pressure difference with the hydrostatic formula, Δρ = (ρm - ρa)gh. A standard metric mass was used to calibrate the drag-beam dynamometer, and the drag force MD displayed by the dynamometer is in kilograms. Use FD = MDg to put the drag force in newtons.

Use the attached sample as a guide for the proper formatting of your spreadsheet. On the attached sample spreadsheet all of the numerical values in the first four columns are input values, and all of the numerical values to the right of the first four columns have been computed using cell formulas. Your spreadsheet should have this same feature. For example, the sphere's diameter will be input in millimeters and the spreadsheet will compute the frontal area in m2, so that when the value for D is changed the area will automatically change. Everything to the right of the first four columns must change automatically with changes in input values.

Smooth Sphere Drag Coefficients









INPUT VALUES

COMPUTED VALUES

h bar = 624 mm SG Hg= 13.5544
T = 19 °C ρ Hg = 13554 kg/m3
D = 75.6 mm P atm = 82854 Pa



T abs = 292.15 K
g in lab = 9.796 m/s2 A = 0.004489 m2
ρm - ρa= 999 kg/m3 μ = 1.809E-05 Pa-s

Motor










Frequency h dynamic  h vacuum MD P dynamic P vacuum FD P absolute p air V

Hz mm mm kg Pa Pa N Pa kg/m3 in/sec Re D CD
20 13 18 0.03 127.2 176 0.2939 82678 0.9864 16.06 66221 0.515
25 21.2 28 0.047 207.5 274 0.4604 82580 0.9852 20.52 84515 0.494
30 31.5 40 0.069 308.3 391 0.6759 82463 0.9838 25.03 102947 0.488
35 43.5 56 0.095 425.7 548 0.9306 82306 0.982 29.45 120862 0.487
40 57.8 72 0.127 565.6 705 1.2441 82149 0.9801 33.97 139186 0.49
45 74 88 0.161 724.2 861 1.5772 81993 0.9782 38.48 157338 0.485
50 92.3 112 0.203 903.3 1096 1.9886 81758 0.9754 43.04 175467 0.49
55 112.6 134 0.254 1101.9 1311 2.4882 81543 0.9729 47.6 193549 0.503
60 134.5 160 0.309 1316.2 1566 3.027 81288 0.9698 52.1 211205 0.512

Verified Expert

This task was about to prepare a spreadsheet based on some inputs. For calculations formula should be used for pressure, density, drag force and coefficient of discharge.

Reference no: EM131651857

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Reviews

inf1651857

12/19/2017 4:35:36 AM

This is a good effort, you have addressed all the required things and have in general organised the paper in a logical manner. Thanks I like the work you provided to me.

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