Air flows over a 4 meter long flat plate at a velocity of 8 m/s. Using...

Air flows over a 4 meter long flat plate at a velocity of 8 m/s. Using a spreadsheet, calculate the boundary layer thickness and wall shear stress at 0.1 meter intervals along the plate. Do not plot the wall shear stress at x=0. Use a transition Reynolds number of 5 x 10^5 . (You will need to calculate Rex at each location to determine if the laminar or turbulent correlations should be used.) Generate a spreadsheet table that includes columns for the x location, Reynolds number, boundary layer thickness, and wall shear stress. Also include the exact transition location in the x column. At the transition location, calculate both the laminar and turbulent correlations and include both values in your plot. (The solution will have a jump at the transition point.) Plot your results for the boundary layer thickness and wall shear stress on separate plots. Submit a copy of your EXCEL table and the plots you generated. Include a plot title and label the axes with the variable name and units. Use only lines, no symbols, to show your analytical solution.

Expert Solution

Density (Kg/m^3)	Velocity (m/s)	Distance (m)	kinematic viscosity of air (m^2/s)	Renolds Number	Boundary layer thickness (m)	Wall shear stress (Pa)
1.2047	8	0.1	1.82E-05	4.39E+04	2.39E-03	0.122108899
1.2047	8	0.2	1.82E-05	8.79E+04	3.37E-03	0.086344031
1.2047	8	0.3	1.82E-05	1.32E+05	4.13E-03	0.070499606
1.2047	8	0.4	1.82E-05	1.76E+05	4.77E-03	0.06105445
1.2047	8	0.5	1.82E-05	2.20E+05	5.33E-03	0.05460876
1.2047	8	0.6	1.82E-05	2.64E+05	5.84E-03	0.049850749
1.2047	8	0.7	1.82E-05	3.08E+05	6.31E-03	0.046152826
1.2047	8	0.8	1.82E-05	3.52E+05	6.75E-03	0.043172015
1.2047	8	0.9	1.82E-05	3.95E+05	7.16E-03	0.040702966
1.2047	8	1	1.82E-05	4.39E+05	7.54E-03	0.038614224
1.2047	8	1.1	1.82E-05	4.83E+05	4.62E-02	0.036817218
1.2047	8	1.1375	1.82E-05	5.00E+05	4.75E-02	0.036205255
1.2047	8	1.1375	1.82E-05	5.00E+05	4.75E-02	0.16596729
1.2047	8	1.2	1.82E-05	5.27E+05	4.96E-02	0.164858278
1.2047	8	1.3	1.82E-05	5.71E+05	5.28E-02	0.164858278
1.2047	8	1.4	1.82E-05	6.15E+05	5.61E-02	0.163104067
1.2047	8	1.5	1.82E-05	6.59E+05	5.93E-02	0.160513797
1.2047	8	1.6	1.82E-05	7.03E+05	6.24E-02	0.158152271
1.2047	8	1.7	1.82E-05	7.47E+05	6.55E-02	0.155984982
1.2047	8	1.8	1.82E-05	7.91E+05	6.86E-02	0.153984513
1.2047	8	1.9	1.82E-05	8.35E+05	7.16E-02	0.152128735
1.2047	8	2	1.82E-05	8.79E+05	7.46E-02	0.150399551
1.2047	8	2.1	1.82E-05	9.23E+05	7.76E-02	0.148781975
1.2047	8	2.2	1.82E-05	9.67E+05	8.05E-02	0.147263474
1.2047	8	2.3	1.82E-05	1.01E+06	8.34E-02	0.14583346
1.2047	8	2.4	1.82E-05	1.05E+06	8.63E-02	0.144482918
1.2047	8	2.5	1.82E-05	1.10E+06	8.92E-02	0.143204107
1.2047	8	2.6	1.82E-05	1.14E+06	9.20E-02	0.141990337
1.2047	8	2.7	1.82E-05	1.19E+06	9.48E-02	0.140835791
1.2047	8	2.8	1.82E-05	1.23E+06	9.76E-02	0.139735377
1.2047	8	2.9	1.82E-05	1.27E+06	1.00E-01	0.138684615
1.2047	8	3	1.82E-05	1.32E+06	1.03E-01	0.137679549
1.2047	8	3.1	1.82E-05	1.36E+06	1.06E-01	0.13671666
1.2047	8	3.2	1.82E-05	1.41E+06	1.09E-01	0.135792814
1.2047	8	3.3	1.82E-05	1.45E+06	1.11E-01	0.134905203
1.2047	8	3.4	1.82E-05	1.49E+06	1.14E-01	0.134051304
1.2047	8	3.5	1.82E-05	1.54E+06	1.17E-01	0.133228842
1.2047	8	3.6	1.82E-05	1.58E+06	1.19E-01	0.132435756
1.2047	8	3.7	1.82E-05	1.63E+06	1.22E-01	0.13167018
1.2047	8	3.8	1.82E-05	1.67E+06	1.25E-01	0.130930413
1.2047	8	3.9	1.82E-05	1.71E+06	1.27E-01	0.130214904
1.2047	8	4	1.82E-05	1.76E+06	1.30E-01	0.129522232

samet mamat answered 2 years ago

Air at 20°C and a velocity of 8 m/s flows over the 4-m length of a...

Air at 20°C and a velocity of 8 m/s flows over the 4-m length of a 4-m wide single surface of a square plate whose temperature is 80°C. (For properties of air, use k = 0.02735 W/m·K, Pr = 0.7228, ν = 1.798 x 10-5 m2 /s ) Given the above information, do the calculations to answer the two MC questions below. Please clearly show/discuss your solution method and calculations. A. __________The rate of heat transfer, Q̇ , from this...

Air at 1 atm and 27 degree C flows across a flat plate at a velocity...

Air at 1 atm and 27 degree C flows across a flat plate at a velocity of 14 m/s. Find the distance from the leading edge where transition to turbulent flow begins and the local heat-transfer coefficient at this point if the temperature of the plate is 77 degree C.

Air at 15°C flows at 9 m/s parallel to a thin flat plate measuring 260 mm...

Air at 15°C flows at 9 m/s parallel to a thin flat plate measuring 260 mm × 390 mm. The direction of flow is parallel to the 260-mm edges. The surface of the plate is at a uniform temperature of 85°C. The plate is in a large chamber with walls at a temperature of 22°C. The emissivity of the plate’s surfaces is 0·75. (a) Determine the rate of convective heat transfer from one side of the plate to air. [16]...

Consider a 1.5m long 30cm wide flat plate exposed to two laminar flows of air (6...

Consider a 1.5m long 30cm wide flat plate exposed to two laminar flows of air (6 m/s free stream top surface and 12m/s free stream bottom surface) at 25ºC and atmospheric pressure. The top and bottom surfaces of the plate are electrically heated (1.5 kW total power, heaters assumed infinitesimally thin). The plate consists of 3 layers: a top and bottom layer of 1.0 cm balsa wood (k = 0.055 W/(m·K)), and a middle layer of 2.0 cm plywood (k...

Air at 10°C and I atm flows over a flat plate (30 cm x100 cm) at...

Air at 10°C and I atm flows over a flat plate (30 cm x100 cm) at 20 m/s. The plate is maintained at 70°C. (a) calculate the boundary layer thikness at distances of 30 cm and 100 cm, (b) calculate the heat transfer from first 30 cm and from whole the plate.

Air at 25°C flows over a 10-mm-diameter sphere with a velocity of 20 m/s, while the...

Air at 25°C flows over a 10-mm-diameter sphere with a velocity of 20 m/s, while the surface of the sphere is maintained at 75°C. What is the rate of heat transfer from the sphere? q = ___ W ? Please provide correct final answer for guaranteed thumbs up rating !

A liquid flows tangentially past a flat plate of dimensions total length of 4 m (parallel...

A liquid flows tangentially past a flat plate of dimensions total length of 4 m (parallel to the flow direction) and width of 1.5 m. fluid velocity is 1 m/s (length wise). What is the skin friction drag (shear force) on both sides of the plate? liquid density = 1000 kg/m3, dynamic viscosity = 2 x 10-2 N*s/m2.

Air flows through a 0.25-m-diameter duct. At the inlet the velocity is 300 m/s, and the...

Air flows through a 0.25-m-diameter duct. At the inlet the velocity is 300 m/s, and the stagnation temperature is 90°C. If the Mach number at the exit is 0.3, determine the direction and the rate of heat transfer. For the same conditions at the inlet, determine the amount of heat that must be transferred to the system if the flow is to be sonic at the exit of the duct.

Glycerin flows parallel to a flat plate measuring 2 ft by 2 ft with a velocity...

Glycerin flows parallel to a flat plate measuring 2 ft by 2 ft with a velocity of 10 fps. Determine values for the mean convective heat-transfer coefficient and the associated drag force imposed on the plate for glycerin temperatures of 30, 50, and 80F. What heat flux will result, in each case, if the plate temperature is 50F above that of the glycerin?

The air, which has a temperature of 120 ° C, flows over a plate with a...

The air, which has a temperature of 120 ° C, flows over a plate with a length of 1.2 m and a constant temperature of 30 ° C across the surface, and its speed flows at a speed of 2 m / s. According to this, a.) Calculate the speed and temperature boundary layer thickness at the end of the plate. b.) Find the local heat transfer coefficient and heat flux at the end of the plate. c.) Find the...

Question