Chapter 2 Heat Conduction EquationAssumptions 1Heat transfer is given to be transient and one-dimensional. 2 Thermal conductivity is given to be variable. 3 There is no heat generation in the medium. 4 The outer surface at r = r0is subjected to convection and radiation. Analysis Noting that there is thermal symmetry about the midpoint and convection and radiation at the outer surface and expressing all temperatures in Rankine, the differential equation and the boundary conditions for this heat conduction problem can be expressed as tTCrTkrrr∂ρ=⎟⎠⎞⎜⎝⎛221Tir2T∞h kεTsurrsurr4εσTtrkTr trhTrTTrTTi(,)(,)[()]]0000004=−=−+−=∞2-51 The outer surface of the North wall of a house exchanges heat with both convection and radiation., while the interior surface is subjected to convection only. Assuming the heat transfer through the wall to be steady and one-dimensional, the mathematical formulation (the differential equation and the boundary
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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.