answer qiuckly 85°CAArArAT55°CсAr70°C30°CBDFigure Q3: Distribution of the initial temperatures25°CE Q3(b)DUJA 34103The 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 r>0. The distribution of the initial temperatures isshown in Figure Q3. The unsteady state heat conduction equation is given by;0Where A'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 cm³/s, and Ar=2 second.By considering numerical differentiationST_T(x,1+1)-T(x), deduce that the temperature distribution along the bar at pointOrA(x,1+1) in explicit finite-difference form is given by7(x+1)-27(x,1)+7(x-1,t) andArT(x,1+1)=0.87(x-1,t)-0.67(x,1)+0.87(x+1,1)Draw the finite difference grid to predict the temperature of all points up to 4 seconds.Label all unknown temperatures on the grid.

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Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

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