Chapter 2 Heat Conduction Equation2-130 The base plate of an iron is subjected to specified heat flux on the left surface and convection and radiation on the right surface. The mathematical formulation, and an expression for the outer surface temperature and its value are to be determined for steady one-dimensional heat transfer. Assumptions 1Heat conduction is steady and one-dimensional. 2Thermal conductivity is constant. 3 There is no heat generation. 4 Heat loss through the upper part of the iron is negligible. PropertiesThe thermal conductivity and emissivity are given to be k= 2.3 W/m⋅°C and ε= 0.7. Analysis (a) Noting that the upper part of the iron is well insulated and thus the entire heat generated in the resistance wires is transferred to the base plate, the heat flux through the inner surface is determined to be 224base00W/m000,100m10150W1500=×==−AQq&&Taking the direction normal to the surface of the wall to be the x direction with x = 0 at the left surface, the mathematical formulation of this problem can be expressed as dTdx220=and −==kdTdxq()&,080 000
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