Thermodynamics HW Solutions 484

Thermodynamics HW Solutions 484 - Chapter 5 Numerical...

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Chapter 5 Numerical Methods in Heat Conduction 5-89 A long solid bar is subjected to transient two-dimensional heat transfer. The centerline temperature of the bar after 10 min and after steady conditions are established are to be determined. Assumptions 1 Heat transfer through the body is given to be transient and two-dimensional. 2 Heat is generated uniformly in the body. 3 The heat transfer coefficient also includes the radiation effects. Properties The conductivity and diffusivity are given to be k = 28 W/m °C and . α 12 10 6 m/ s 2 4 5 6 g h , T 1 2 3 7 8 9 h , T h , T h , T Analysis The nodal spacing is given to be Δ x = Δ x = l =0.1 m. The explicit finite difference equations are determined on the basis of the energy balance for the transient case expressed as && QG V C TT t i m i m i All sides element i element += + ρ 1 Δ The quantities do not change with time, and thus we do not need to use the superscript i for them. The general
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This note was uploaded on 01/22/2012 for the course PHY 4803 taught by Professor Dr.danielarenas during the Fall '10 term at UNF.

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