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ex_heattransfer3.m File Reference


EX_HEATTRANSFER3 1D Transient heat conduction.

[ FEA, OUT ] = EX_HEATTRANSFER3( VARARGIN ) NAFEMS T3 benchmark example for one-dimensional transient heat conduction [1]. A 10 cm thick steel plate is assumed to have one surface exposed to a varying temperature, T = 100*sin(pi*t/40), while the temperature at the other side is fixed, T = 0. This problem can be seen as one dimensional along the axis aligned with the thickness.

     +---T(0.02)?---- L=0.02m ------------+
T=100*sin(pi*t/40)                        T=0

The temperature at x = 0.02 m is sought at time t = 36. The material parameters of the plate are, density 7200 kg/m^3, heat capacity 440.5 J/kgK, and thermal conductivity 35 W/mK.

  [1] The Standard NAFEMS Benchmarks,
      The National Agency for Finite Element Standards, UK, 1990.

Accepts the following property/value pairs.

Input       Value/{Default}        Description
hmax        scalar {0.005}         Grid cell size
sfun        string {sflag1}        Finite element shape function
iplot       scalar {1}/0           Plot solution (=1)
Output      Value/(Size)           Description
fea         struct                 Problem definition struct
out         struct                 Output stuct
Generated fields of fea:
Generated fields of out: