Question $2$

A $60cm$ long flat plate is insulated on one side and cooled on the opposite side $)=(50C$ by atmospheric air at $24C$ in parallel flow at the following rate:

$($i$)10\frac{m}{s}$

$($ii$)5\frac{m}{s}$

$($iii$)0\frac{m}{s}$

Plot the variation of the local heat transfer coefficient, $h(x)$ with distance along the plate corresponding to all the three flow conditions as above. Please apply a minimum step size of $5cm$ in the plots.

Remark: Please show the detailed working steps and calculations on how to obtain the plot's data $($local heat transfer coefficient$).$

Based on the plot of local heat transfer coefficient, determine the average heat transfer coefficient and heat transfer rate of the flat plate at different flow rate. Explain your solutions.

Hint: You may apply best fit curve to obtain the general expression of the local heat transfer coefficient for integration purpose.