Consider laminar steady flow of a newtonian & incompressible liquid down (vertically) a circular pipe of radius r. a) derive an expression for the velocity profile in the pipe. b) derive an expression for shear stress distribution in the pipe. c) determine the wall shear stress in the pipe. d) determine the volume flow rate in the pipe as a function of the pressure drop. e) determine the maximum velocity in the pipe

The drive force for diffusion is 7 fick's first law can be used to solve the non-steady state diffusion. a)-true b)-false

Shafts are machine elements that are used to a) carry axial loads b) direct shear loads c) transmit power d) rotate at constant speed e) none of the above circular and square shafts subjected to the same torque under the same circum behave a) the same way b) almost the same way

An ideal otto cycle with air as the working fluid has a compression ratio of 8. the minimum and maximum temperatures in the cycle are 300 k and 1340 k. use constant specific heats at room temperature to determine (a) the amount of heat transferred to the air during the heat- addition kj/kg, (b) the thermal efficiency, and (c) the thermal efficiency of a carnot cycle ope limits. process, in rating between the same temperature