Question

The back surface of a plate is heated at the rate of 1002 W m/and the front surface is cooled by air flow at 300 deg C. It is given that the heat transfer coefficient between the air and the plate surface is 50 W/m^2C. Considering steady state heat transfer, what is the temperature (in deg C) of the front surface of the plate? ​

Answer 1

Front surface temperature = 9.96°c

Given:

The back surface of a plate is heated at the rate of 1002 W m²and the front surface is cooled by air flow at 30°c

Heat transfer coefficient between the air and the plate surface is

50 W/m²C.

To find:

What is the temperature (in deg C) of the front surface of the plate.

Formula used:

Convective heat transfer = hA $\Delta T$

Where      h =  Heat transfer coefficient

                 A = Cross sectional area

                $\Delta T$ = Temperature difference

Explanation:

Given that,

h =  Heat transfer coefficient = 50 W/m²C.

Heat transfer rate = $\frac{Heat \ transfer}{Area}$

So Heat transfer rate = h $\Delta T$

                        1002 = 50 × $\Delta T$

                           $\Delta T$ = $\frac{1002}{50}$ = 20.04

Front surface is cooled by air flow at 30°c

So that front surface temperature must be less than air flow

So

Front surface temperature = 30 - 20.04 = 9.96°c

To learn more....

1)Room heaters have polished reflectors at the back of the heating element. Why?

https://brainly.in/question/750117

2)The length and breadth of a room in the ratio 3:2. if its perimeter is 60m. find the dimensions of the room.

https://brainly.in/question/1935239