Thermodynamics HW Solutions 487

# Thermodynamics HW Solutions 487 - Chapter 5 Numerical...

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Chapter 5 Numerical Methods in Heat Conduction 5-91 The formation of fog on the glass surfaces of a car is to be prevented by attaching electric resistance heaters to the inner surfaces. The temperature distribution throughout the glass 15 min after the strip heaters are turned on and also when steady conditions are reached are to be determined using the explicit method. Heater 10 W/m Thermal symmetry line 0.2 cm 1 cm Outer surface 1 2 3 Glass Inner surface 4 5 6 7 8 9 Thermal symmetry line Assumptions 1 Heat transfer through the glass is given to be transient and two-dimensional. 2 Thermal conductivity is constant. 3 There is heat generation only at the inner surface, which will be treated as prescribed heat flux. Properties The conductivity and diffusivity are given to be k = 0.84 W/m °C and . α 039 10 6 . m 2 / s Analysis The nodal spacing is given to be Δ x = 0.2 cm and Δ y = 1 cm. The explicit finite difference equations are determined on the
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## This note was uploaded on 01/22/2012 for the course PHY 4803 taught by Professor Dr.danielarenas during the Fall '10 term at UNF.

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