Thermodynamics HW Solutions 402

Thermodynamics HW Solutions 402 - Chapter 5 Numerical...

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Chapter 5 Numerical Methods in Heat Conduction 5-13C In the finite difference formulation of a problem, an insulated boundary is best handled by replacing the insulation by a mirror, and treating the node on the boundary as an interior node. Also, a thermal symmetry line and an insulated boundary are treated the same way in the finite difference formulation. 5-14C A node on an insulated boundary can be treated as an interior node in the finite difference formulation of a plane wall by replacing the insulation on the boundary by a mirror , and considering the reflection of the medium as its extension. This way the node next to the boundary node appears on both sides of the boundary node because of symmetry, converting it into an interior node. 5-15C In a medium in which the finite difference formulation of a general interior node is given in its simplest form as TT T x g k mm −+ += 11 2 2 0 Δ & ( a ) heat transfer in this medium is steady , ( b ) it is one-dimensional , ( c ) there is heat generation, ( d ) the
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This note was uploaded on 01/19/2012 for the course PHY 4803 taught by Professor Dr.danielarenas during the Fall '10 term at UNF.

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