1. Consider a cylindrical shell of inner radius a and outer radius b, whose conductivity is constant. The inner surface
Posted: Sun Jul 03, 2022 12:36 pm
1. Consider a cylindrical shell of inner radius a and outer radius b, whose conductivity is constant. The inner surface of the layer is maintained at a temperature of T1. while the outer one remains at T2. Assuming a one-dimensional steady-state heat transfer and no heat generation.
a) Draw the complete system. Properly label and properly mark the coordinate system and dimensions.
b) Draw the finite element to perform a heat balance.
c) Write down the boundary conditions for this system.
d) Obtain the equation to calculate the temperature inside the plate, as a function of the distance r, where a≤r≥ b.
e) Obtain the equation for the rate of heat transfer through the cylindrical plate.
a) Draw the complete system. Properly label and properly mark the coordinate system and dimensions.
b) Draw the finite element to perform a heat balance.
c) Write down the boundary conditions for this system.
d) Obtain the equation to calculate the temperature inside the plate, as a function of the distance r, where a≤r≥ b.
e) Obtain the equation for the rate of heat transfer through the cylindrical plate.