Consider the Couette flow of a fluid with a viscosity of µ, = 0.8 N·s/m2 and thermal condu...

Consider the Couette flow of a fluid with a viscosity of µ, = 0.8 N·s/m2 and thermal conductivity of kf =.0.145 W/m·K. The lower plate is stationary and made of a material of thermal conductivity kp = 1.5 W/m·K and thickness b = 3 mm. Its outer surface is maintained at Tw = 50°C. The upper plate is insulated and moves with a uniform speed V = 7 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.

FIGURE P6-77