A 1 m square verticalplate is heated to 300 deg C and placed in room air at 25 Deg C. calculate the heat loss from the one side of the plate
To calculate the heat loss from one side of the plate, you need to use the formula for heat transfer by convection. The heat transfer rate is given by:
Q = h * A * (Ts - Ta)
Where:
Q is the heat transfer rate (in watts),
h is the convective heat transfer coefficient (in watts per square meter per degree Celsius),
A is the surface area of the plate (in square meters),
Ts is the temperature of the surface (in degrees Celsius), and
Ta is the temperature of the surrounding air (in degrees Celsius).
Given:
h = ?
A = 1 square meter
Ts = 300 degrees Celsius
Ta = 25 degrees Celsius
To find the convective heat transfer coefficient (h), you need to know the type of surface and the flow conditions around the plate. The convective heat transfer coefficient depends on factors such as surface roughness, air velocity, and the presence of obstructions.
For a vertical plate in free convection (natural convection), you can use the following empirical correlation:
h = 5.7 * (Ts - Ta)^(1/4)
Now, let's plug in the values and calculate the heat transfer rate:
h = 5.7 * (300 - 25)^(1/4) = 44.57 W/(m^2*°C)
Q = 44.57 * 1 * (300 - 25) = 11619.75 W
Therefore, the heat loss from one side of the plate is approximately 11619.75 watts.