2. Water is pumped into a long pipe with uniform velocity, as shown in Figure 2. The diameter of the pipe is 2R and the
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2. Water is pumped into a long pipe with uniform velocity, as shown in Figure 2. The diameter of the pipe is 2R and the
2. Water is pumped into a long pipe with uniform velocity, as shown in Figure 2. The diameter of the pipe is 2R and the pipe wall is of a temperature distribution, T = Twe, along the pipe. The thermal diffusivity of the water is a, and the heat conductivity of the water is K. Twe? 2R u(r, 0, z) = U = constant 0 Z Figure 2 (a) Write the energy equation in cylindrical coordinators for the water flow in the pipe, together with the boundary conditions. (5 marks) (b) Find the temperature distribution in the water flow. (15 marks) (c) Determine the heat flux at the pipe wall. (5 marks)
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