A 1 m long and 0 1 m thick steel plate of thermal conductivity 35 W m K is well insulated on its both sides, while the top surface is exposed to a uniform heat flux of 5500 W m 2 The bottom surface is convectively cooled by a fluid at 10C having a convective heat transfer coefficient of 150 W m 2 K...

Engineering
Heat And Mass Transfer Fundamentals And Applications
A 1-m-long and 0.1-m-thick steel plate of thermal conductivity 35

A 1-m-long and 0.1-m-thick steel plate of thermal conductivity 35 W/m K is well insulated on its both sides,

Question:

A 1-m-long and 0.1-m-thick steel plate of thermal conductivity 35 W/m · K is well insulated on its both sides, while the top surface is exposed to a uniform heat flux of 5500 W/m². The bottom surface is convectively cooled by a fluid at 10°C having a convective heat transfer coefficient of 150 W/m²· K. Assuming one dimensional heat conduction in the lateral direction, find the temperature at the midpoint of the plate. Discretize the plate thickness into four equal parts.