Consider a large 3-cm-thick stainless steel plate in which heat is generated uniformly at a rate of 5 × 106 W/m3. Assuming the plate is losing heat from both sides, determine the heat flux on the surface of the plate during steady operation.
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The rate of heat generation per unit volume in a stainless steel plate is given. The heat flux on the surface of the plate is to be determined.
Assumptions Heat is generated uniformly in steel plate.
Analysis We consider a unit surface area of 1 m2. The total rate of heat generation in this section of the plate is
Noting that this heat will be dissipated from both sides of the plate, the heat flux on either surface of the plate becomes
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