a) Estimate the drag force on the plate. You may use the expression ?? = ∫ τ?d? b) When the flow becomes turbulent, we can approximate the velocity gradient at the wall as constant, ∂? ∂? = ?. If the total drag force is 300 N, find ?. c) When the fluid is heated to 90oC, the density drops slightly and the viscosity decreases a lot, and engineers observe that the equation, τ? = 0.0644??∞ 2 δ ? , becomes less accurate. Explain why this might occur (1-2 sentences)

Elements Of Electromagnetics
7th Edition
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Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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a) Estimate the drag force on the plate. You may use the expression ?? = ∫ τ?d?

b) When the flow becomes turbulent, we can approximate the velocity gradient at the wall as constant, ∂? ∂? = ?. If the total drag force is 300 N, find ?.

c) When the fluid is heated to 90oC, the density drops slightly and the viscosity decreases a lot, and engineers observe that the equation, τ? = 0.0644??∞ 2 δ ? , becomes less accurate. Explain why this might occur (1-2 sentences)

Water flows past a flat plate that has a length L = 5 m and a width w = 2 m, as shown in
Figure Q4. The shear stress at the wall is given by Tw=H. When the flow is laminar the
shear stress at the wall is given by the equation:
8
Tw = 0.0644 pU²-
Where p = 1000 kg/m³ is the water density and U∞ = 5 m/s is the velocity of the water.
The height of the boundary layer is 8, and can be approximated by
8(x) = 5
The viscosity of water is μ = 1 mPa.s.
μχ
pU...
Transcribed Image Text:Water flows past a flat plate that has a length L = 5 m and a width w = 2 m, as shown in Figure Q4. The shear stress at the wall is given by Tw=H. When the flow is laminar the shear stress at the wall is given by the equation: 8 Tw = 0.0644 pU²- Where p = 1000 kg/m³ is the water density and U∞ = 5 m/s is the velocity of the water. The height of the boundary layer is 8, and can be approximated by 8(x) = 5 The viscosity of water is μ = 1 mPa.s. μχ pU...
U
L
8(x)
Figure Q4: Flow over a long flat plate. The boundary layer is shown by the light grey.
Transcribed Image Text:U L 8(x) Figure Q4: Flow over a long flat plate. The boundary layer is shown by the light grey.
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