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Deduce the necessary expressions by using Navier-Stokes Equation (NSE) Q1. A viscous fluid is in laminar flow vertically in z direction downward in a slit formed by two parallel walls a distance 2B apart of length L and width W. Make differential momentum balance and obtain the expressions for the distributions of momentum flux, velocity profile, maximum velocity and average velocity. Obtain the analogy of the Hagen- Poiseuille law for the slit. Assume P=p- pgz. Q2. A Stormer viscometer consists essentially of two concentric cylinders, the inner of which rotates while the outer is held stationary. Viscosity is determined by measuring the rate of rotation of the inner cylinder under the application of a known torque. Develop an expression for the velocity distribution in this kind of apparatus using NSE, as a function of applied torque, for laminar flow of a Newtonian fluid. Neglect end effects.