Superheated steam flows through a pipe with an inner diameter of 2 cm and a wall...

 

Transcribed Image Text:

Superheated steam flows through a pipe with an inner diameter of 2 cm and a wall thickness of 2.5 cm. Plot the temperature distribution within the pipe wall as a function of the radial distance from the center of the pipe, r. The general heat-diffusion equation in cylindrical coordinates is: 1 0 +7(kr ar + 1 (k a + z az +q=pcp at 1. Draw a cross-section of the pipe with the appropriate geometry. The inner radius is r; and the outer radius is ro. The steam keeps the inner wall of the pipe at 600 C. The outer wall of the pipe is room temperature at 25C. 2. Simplify the above equation. The problem is at steady-state. There is no heat transfer in the axial direction (z- direction), no heat transfer in the 0-direction, and there is no thermal energy generation within the pipe ( q = 0). Superheated steam flows through a pipe with an inner diameter of 2 cm and a wall thickness of 2.5 cm. Plot the temperature distribution within the pipe wall as a function of the radial distance from the center of the pipe, r. The general heat-diffusion equation in cylindrical coordinates is: 1 0 +7(kr ar + 1 (k a + z az +q=pcp at 1. Draw a cross-section of the pipe with the appropriate geometry. The inner radius is r; and the outer radius is ro. The steam keeps the inner wall of the pipe at 600 C. The outer wall of the pipe is room temperature at 25C. 2. Simplify the above equation. The problem is at steady-state. There is no heat transfer in the axial direction (z- direction), no heat transfer in the 0-direction, and there is no thermal energy generation within the pipe ( q = 0).