Consider the Couette flow of a fluid with a viscosity of m = 0.8 N · s/m² and thermal conductivity of k_f = 0.145 W/m · K. The lower plate is stationary and made of a material of thermal conductivity k_p = 1.5 W/m · K and thickness b = 3 mm. Its outer surface is maintained at T_s = 40°C. The upper plate is insulated and moves with a uniform speed V = 5 m/s. The distance between plates is L = 5 mm.
(a) Sketch the temperature distribution, T(y), in the fluid and in the stationary plate.

(b) Determine the temperature distribution function, T(y), in the fluid (0 < y < L).

(c) Calculate the maximum temperature of the fluid, as well as the temperature of the fluid at the contact surfaces with the lower and upper plates.

Transcribed Image Text:

ku*. b T,= 40°C- Insulation -kp AX