The incompressible laminar fluid flows inside a horizontal capillary tube. L To solve the problem, if the following parameters are known, Tube radius ER Length of capillary tube =L viscosity of liquid = u the density of liquid =p pressures po and pl are given as shown in the figure, pressure linearly changes with distance. heat conductivity of fluid =k fluid flows in the direction as shown in the figure, V,=0 and Va=0. (a) Make a shell momentum balance and based on which to derive the fluid velocity distribution equation, and give your comments on the effects of the pressure drop per distance and the fluid viscosity on the average velocity. [30 marks] (b) If the tube wall is maintained at temperature Tw, make a shell energy balance and derive the temperature distribution equation. [70 marks] Newton's law of viscosity Cylindrical coordinates (r, 0, z): + TE + Cu - k)(v) --[23] + 6u wXFv ---[204 + )+ Gu WMF v) --[*] --[* *(7) + y ) to ] Te To ar 1 du 90 Te T- Ta - Tri Tao dz + in which (vv) v) = 4 (rus) + 3 1 1 du du dz