A cylindrical fin with radius R and length L has been mounted to increase the heat transfer area on a surface. The temperature at the junction of the fin to the rectangular surface is T0 and the temperature of the air surrounding the cylinder is Th. If it is assumed that the temperature variation in the cylindrical fin is only in the z-direction, derive the model that gives the temperature profile of the cylindrical fins at the steady state conditions. Use the dT / dz = 0 boundary condition at z = L to solve the model. Note: -The cylindrical fin is used for cooling purposes. -Thermal conductivity coefficient at the blade, k (W / mK); the thermal conductivity coefficient of the air h (W / m2K) -y = T-Th conversion can be done.
A cylindrical fin with radius R and length L has been mounted to increase the heat transfer area on a surface.
The temperature at the junction of the fin to the rectangular surface is T0 and the temperature of the air surrounding the
cylinder is Th. If it is assumed that the temperature variation in the cylindrical fin is only in the z-direction, derive the
model that gives the temperature profile of the cylindrical fins at the steady state conditions. Use the dT / dz = 0
boundary condition at z = L to solve the model.
A cylindrical fin with radius R and length L has been mounted to increase the heat transfer area on a surface.
The temperature at the junction of the fin to the rectangular surface is T0 and the temperature of the air surrounding the
cylinder is Th. If it is assumed that the temperature variation in the cylindrical fin is only in the z-direction, derive the
model that gives the temperature profile of the cylindrical fins at the steady state conditions. Use the dT / dz = 0
boundary condition at z = L to solve the model.
Note:
-The cylindrical fin is used for cooling purposes.
-Thermal conductivity coefficient at the blade, k (W / mK); the thermal conductivity coefficient of the air h (W
/ m2K)
-y = T-Th conversion can be done.
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