Flow at the inlet and outlets can be assumed One-dimensional for the sake of simplicity. (a) Explain how this assumption simplif
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By using the boundary layer equation, the average heat transfer coefficient for the plate is equal to 4.87 W/m²k.
<u>Given the following data:</u>
Surface temperature = 15°C
Bulk temperature = 75°C
Side length of plate = 150 mm to m = 0.15 meter.
<h3>How to calculate the average heat transfer coefficient.</h3>Since we have a quiescent room air and a uniform pole surface temperature, the film temperature is given by:
Film temperature = 45°C to K = 273 + 45 = 318 K.
For the coefficient of thermal expansion, we have:
From table A-9, the properties of air at a pressure of 1 atm and temperature of 45°C are:
- Kinematic viscosity, v =
m²/s.
- Thermal conductivity, k = 0.02699 W/mk.
- Thermal diffusivity, α =
m²/s.
- Prandtl number, Pr = 0.7241.
Next, we would solve for the Rayleigh number to enable us determine the heat transfer coefficient by using the boundary layer equations:
Also take note, g(Pr) is given by this equation:
g(Pr) = 0.430
For GrL, we have:
Since the Rayleigh number is less than 10⁹, the flow is laminar and the condition is given by:
Based on empirical correlation method, the average heat transfer coefficient for the plate is given by this equation:
Read more on heat transfer here: brainly.com/question/10119413