Thermodynamics HW Solutions 90

Thermodynamics HW Solutions 90 - Chapter 2 Heat Conduction...

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Chapter 2 Heat Conduction Equation 2-31 For a medium in which the heat conduction equation is given by α 2 2 2 2 1 T x T y T t += : ( a ) Heat transfer is transient, ( b ) it is two-dimensional, ( c ) there is no heat generation, and ( d ) the thermal conductivity is constant. 2-32 For a medium in which the heat conduction equation is given by 0 1 = + + g z T k z r T kr r r & : ( a ) Heat transfer is steady, ( b ) it is two-dimensional, ( c ) there is heat generation, and ( d ) the thermal conductivity is variable. 2-33 For a medium in which the heat conduction equation is given by t T T r r T r r r α ∂φ θ 1 sin 1 1 2 2 2 2 2 2 = + : ( a ) Heat transfer is transient, ( b ) it is two-dimensional, ( c ) there is no heat generation, and ( d ) the thermal conductivity is constant. Boundary and Initial Conditions; Formulation of Heat Conduction Problems 2-34C The mathematical expressions of the thermal conditions at the boundaries are called the boundary conditions.
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