The surface temperature of a semi-infinite solid is raised linearly with time. The governing equations are...

 

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The surface temperature of a semi-infinite solid is raised linearly with time. The governing equations are k- Ət 20 2x² = pc- 1(0,0)=1(0) + be [(00,0) =t(0) 1(x,0) = f(0) (a) Normalize the problem to obtain the nondimensional variables and parameters you would use to present the solution to this problem. (b) Determine whether combination of variables will work. If so, obtain the ordinary differential equation and its boundary conditions. The surface temperature of a semi-infinite solid is raised linearly with time. The governing equations are k- Ət 20 2x² = pc- 1(0,0)=1(0) + be [(00,0) =t(0) 1(x,0) = f(0) (a) Normalize the problem to obtain the nondimensional variables and parameters you would use to present the solution to this problem. (b) Determine whether combination of variables will work. If so, obtain the ordinary differential equation and its boundary conditions.