## Heat Transfer Coefficient

Consider a square block with a surface area of 5 m^2 is made up of an unknown material. If the power required to heat the block from 20°C to 60°C is 10 kW, what is the heat-transfer coefficient in W/m^2∙K?

##
__
__**Expand Hint**

**Expand Hint**

The units for the heat-transfer coefficient in the problem statement provide some insights on the math operations needed.

##
__
__**Hint 2**

**Hint 2**

$$$\dot{Q}=hA\Delta T$$$

where
$$h$$
is the convection heat transfer coefficient of the fluid,
$$A$$
is the convection surface area,
$$\Delta T$$
is the change in temperature.

Newton's Law of Cooling:

$$$\dot{Q}=hA\Delta T$$$

where
$$h$$
is the convection heat transfer coefficient of the fluid,
$$A$$
is the convection surface area,
$$\Delta T$$
is the change in temperature.

$$$10,000W=h(5m^2)[(60+273K)-(20+273K)]$$$

$$$h=\frac{10,000W}{(5m^2)(40K)}=50\:\frac{W}{m^2\cdot K}$$$

$$$50\:\frac{W}{m^2\cdot K}$$$

Similar Problems from FE Sub Section:

046. Electrical Heater Rod

062. Cooling a CPU

255. Heat Transfer

301. Brick Wall

497. Change in Temp

Similar Problems from FE Section:

045. A Steam Pipe

046. Electrical Heater Rod

062. Cooling a CPU

203. Heat Transfer Rate

212. Heat Transferring

255. Heat Transfer

301. Brick Wall

497. Change in Temp

**Conduction**046. Electrical Heater Rod

062. Cooling a CPU

255. Heat Transfer

301. Brick Wall

497. Change in Temp

Similar Problems from FE Section:

**Basic Heat-Transfer Rate Equations**045. A Steam Pipe

046. Electrical Heater Rod

062. Cooling a CPU

203. Heat Transfer Rate

212. Heat Transferring

255. Heat Transfer

301. Brick Wall

497. Change in Temp