Assignment # 1 Q. 1: The flow of oil in a journal bearing can be approximated as parallel flow between two large plates with one plate moving and the other stationary. The oil has thermal conductivity and viscosity . Consider two large plates separated by 2 cm-thick oil film. The Large plate have thickness 0.5 cm. The upper plate moves at a constant velocity of 12 m/s, while the lower plate is stationary. The velocity profile between is given as . The temperature of lower plate at is 30°C, while the temperature of upper plate at is 10°C. The values of thermal conductivities in lower and upper plates are and . (a) Obtain relations for the temperature distributions in the oil and plates under viscous dissipation and steady state conditions. (b) Determine the temperature at and .