Q3The heat transfer performance of a new conductor bar of length 20 cm is under inspection.The material is fully insulated such that the heat transfer is only one dimensional in axialdirection (x-axis). The left end is maintained at temperature of 100°C, while the right end ismaintained at temperature of 20°C, for >0. The distribution of the initial temperatures isshown in Figure Q3. The unsteady state heat conduction equation is given by;ax=0Where is a thermal diffusivity of material and x is the longitudinal coordinate of the bar.The thermal diffusivity of the material is given as x=10 cm²/s, and A = 2 second. Draw the finite difference grid to predict the temperature of all points up to 4 seconds.Label all unknown temperatures on the grid.Determine all the unknown temperatures.Analyze why the heat conduction in this question is more suitable to be solved usingthe implicit finite-difference approach.

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Answered: Draw the finite difference grid to…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

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Draw the finite difference grid to predict the temperature of all points up to 4 seconds. Label all unknown temperatures on the grid. Determine all the unknown temperatures. Analyze why the heat conduction in this question is more suitable to be solved using he implicit finite-difference approach.