Chapter 2 Heat Conduction Equation2-128 A large plane wall is subjected to convection, radiation, and specified temperature on the right surface and no conditions on the left surface. The mathematical formulation, the variation of temperature in the wall, and the left surface temperature are to be determined for steady one-dimensional heat transfer. Assumptions 1Heat conduction is steady and one-dimensional since the wall is large relative to its thickness, and the thermal conditions on both sides of the wall are uniform. 2Thermal conductivity is constant. 3 There is no heat generation in the wall. PropertiesThe thermal conductivity and emissivity are given to be k= 8.4 W/m⋅°C and ε= 0.7. Analysis (a) Taking the direction normal to the surface of the wall to be the x direction with x = 0 at the left surface, and the mathematical formulation of this problem can be expressed as dTdx220=and −=−+−=+−∞∞kdT LdxhT LTT LThT TTT()[()][()][()εσ4224273surr4surr4]TL T==°245 C(b) Integrating the differential equation twice with respect to
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This note was uploaded on 01/14/2012 for the course PHY 4803 taught by Professor Dr.danielarenas during the Fall '10 term at UNF.