Question

Can you do every step in detail and make sure to include all equations and calcluations.

The Figure shows a shell and tube condenser where a vapor is condensing on the shell side due to heat removal by a coolant flulid whigh flows though the tubes. To analyze the steady state energy transport in this situation. We can focus on a single tube and apply the differential balance equation. Since the coolant is heated as it flows through the tube, we have both molecular and convective energy transport in the flow direction. The inner and outer cylinders have radii of Ri and R respectively. The surface of the outer cylinder, which is constant at Tw. Process Fluid Out Tube Nest End Head Geothermal Fluid in Geotherma Fluid Out Tube Plate RAR Battles Shell Process Fluid in a. Write the assumptions for the given problem (15 Points) b. Draw a schematic diagram of the process (10 Pints) c. Write the energy transport equation in this shell and tube condenser. Clearly write down the reasons to cancel each term. Develop the equation in the differential form. (25 Points) d. Develop the temperature distribution obtained by integration and using boundary conditions. (50 Points)

Answer 1

10 of 2 Ans: pg a Assemption for the given problem are : ! Heat capacity is i Material flow which formed have very high conductivity const cop are b, schematic diagram of the process ui out Tedie from Energy Balance rate of heat inport rate of heat out flow rate of coolent = 0. m is the riep? T + hi A (76-7) mì ca (7 7669 ) = 0 niep di hi A (Tw-T -1) ay in cp dT hi at Ri da (To -T) 2Trihi 27 Ribi AT T = Two =7 * + + da mi cp nice 2T oj dr Riihi da Il TwoT mi cp a T 25 Ri hi صم id with (To mi cp 5

Pg no 2 of 2 Here T; Inlet Jemperature îş Temp at a . 211 R. Chi 2 îw - 1 -Y in mcp Teo - Ti 27 R; Chi Feerſ Richi, יר eap -7; mcp 211 Richi 2) (Tuj - Ji) exp 2 ๆ Tu in cup Too T: 2-7 ㄴ