Question

Please attempt the FULL QUESTION

Question 4 For pressure-driven laminar flow between two horizontal infinite parallel plates separated by a distance 2h, the velocity components are: v = 0 where U is the centreline velocity and the x-axis is located at the centreline. Assume steady, fully developed and incompressible laminar flow. For the problem above, obtain the final form of the energy equation after applying the given assumptions. (10 marks) b) Identify the fluid temperature distribution T(y), for a constant wall temperature Tw at each plate. (20 marks) Hint: The incompressible flow energy equation can be written in the following form where; m="f***@*+91-ci macar ]

Answer 1

Woite the general. form of enesgy equation. - Pop at 2x² dyz dz²J where 0 is defined as DM27%979 fare ] for two-dimensions steady flow. at Jy do (v=o). calculate at ang

5 JL ro ) RF) Eug: 0 for at IT 4] +o) bh RP Subtute the value of u. o 7 t(e) t ls T - E -A ( ...... 1

For gath. *(y) = To 1. Two 4 d 7 h 22 h 22 Cht (z that we can also chce Subtract equation () foom equation Q2 26h=0 G=0. Add equation 611& equation (V). 2 TA - Per / Sh 3}}2x62 =) = Tw-4 d 7 h subtitute the constant values in the equation (b) 760-ve run for ) T he Hot Tower 54 27] +60- Twee ship >) TED- To have lot (3) 12 ?