Question

be clear

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 Baffles 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

Sol a. Assumption : 1) Heat capacity is constant. 2) Tube has very high conductivity. Two m Trdt dure C het in be the flow rate of coolant From Energy Balance - (Europe)on - (Energy Bond ni GT + hA(-7) - G17+d7) = O niedł h, A (Tw-?) ni Cp d7 = d7 = h; 2t Ri da (Two) dT + 2nRibit = 2m Rihi Tw nico Cp da Ans

d) ar Rihi da dT Tw-T nice T en/Tw-7 an Rihi hilp Ti inlet temp. La Rilhi ia nico TI . est femeti a) T = Tw - (Tw- To ) espl-271Rich, mis Tw -t T ; L X