Physics: Air at 1 atm and 20 c is flowing over the top surface of a .2x.5 m thin metal foil. the air stream velocity is 100 m/s and the metal foil is heated electrically with a uniform heat fluz of 6100 W/m2. If the friction force on the metal foil surface is 0.3 N, determine the surface temperature of the metal foil. Evaluate the fluid properties at 100°C.

Air at 1 atm and 20 c is flowing over the top

Ответ:

qurreab26

23.01.2022

Physics

The surface temperature of the metal foil is 453.645 K

Explanation:

The properties of the air at 100°C and 1 atm are the follows:

ρ = density = 0.9458 kg/m³

Cp = specific heat = 1009 J/kg K

Pr = 0.7111

The surface area of the plate is equal to:

A=WL

Where

W = width of the plate = 0.2 m

L = length of the plate = 0.5 m

$A=0.2*0.5=0.1m^{2}$

The average friction coefficient is equal to:

$C_{f} =\frac{F}{\frac{A\rho V^{2} }{2} }$

Where

F = drag force = 0.3 N

V = velocity of air flow = 100 m/s

$C_{f} =\frac{0.3}{\frac{0.1*0.9458*100^{2} }{2} } =0.000634$

The average heat transfer coefficient is equal to:

$h=\frac{C_{f}\rho VC_{p} }{2Pr^{2/3} } =\frac{0.000634*0.9458*100*1009}{2*(0.7111x^{2/3}) } =37.972W/m^{2} K$

The surface temperature is:

$T_{s} =\frac{q}{h} +T\alpha$

Where

q = heat flux = 6100 W/m²

Tα = temperature of the air = 20°C = 293 K

$T_{s} =\frac{6100}{37.972} +293=453.645K$

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Ответ:

tiffxnnyyy

29.09.2022

Physics

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