Oil flow in a journal bearing can be treated as parallel flow between two large isothermal plates with one plate moving at a constant velocity of 12 m/s and the other stationary. Consider such a flow with a uniform spacing of 0.7 mm between the plates. The temperatures of the upper and lower plates are 40°C and 15°C, respectively. By simplifying and solving the continuity, momentum, and energy equations, determine

(a) The velocity and temperature distributions in the oil,

(b) The maximum temperature and where it occurs,

(c) The heat flux from the oil to each plate.

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12 m/s u(y)