4. An Aluminium ball of thermal conductivity k = 250 W/m K and diameter D =...

 

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4. An Aluminium ball of thermal conductivity k = 250 W/m K and diameter D = 1 cm and initial temper- ature 80 C is placed into a water bath at 30 C. The convection coefficient varies as h = 20 +0.6(T,- 30) W/m C where T, is the surface temperature of the ball in C. Find the temperature of the surface of the ball with time. 5. O Solve the previous problem using the Finite Difference method. Take the time step to be 0.1 s. Compare the temperature using the numerical solution at 0.5 s with the analytical result you obtained in the previous problem. 4. An Aluminium ball of thermal conductivity k = 250 W/m K and diameter D = 1 cm and initial temper- ature 80 C is placed into a water bath at 30 C. The convection coefficient varies as h = 20 +0.6(T,- 30) W/m C where T, is the surface temperature of the ball in C. Find the temperature of the surface of the ball with time. 5. O Solve the previous problem using the Finite Difference method. Take the time step to be 0.1 s. Compare the temperature using the numerical solution at 0.5 s with the analytical result you obtained in the previous problem.

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