Chapter 5 Numerical Methods in Heat Conduction 5-92 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 implicit method with a time step of Δt= 1 min. Thermal symmetry line•••Heater 10 W/mThermal symmetry line0.2 cm1 cmOuter surface1 2 3GlassInner surfaceAssumptions 1Heat 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. •••PropertiesThe conductivity and diffusivity are given to be k= 0.84 W/m⋅°C and . α=×−039 106. m2/s•••Analysis The nodal spacing is given to be Δx = 0.2 cm and Δy = 1 cm. The implicit finite difference equations are determined on the
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