1-15. Analyze the flow between two plates of Fig. 1-15 by assuming the fluid is a de Wack power-law fluid as in Eq. (1-31a). Compute (a) the velocity profile u(y) with the power n as a parameter and (b) the velocity at the midpoint h/2 for n 0.5, 1.0, and 2.0. Answer: (b) u = V/2 for all cases

Fluid mechanics

ENGINEERING MECHANICS PLS DO STEP BY SOLUTION THIS IS GOR MY FINAL EXAMS PREPARATION, APPRECIATED YOUR HELP

I got an answer of x = 89.4mm And a reynolds number of  1.09 * 10^5   Just want to confirm my math

Question 3 (a) A two-dimensional flow velocity field in the domain with non-dimensional coordinates x > 0 and y > 0 is defined as: v = -Upxy i+ Upxy j where i and j are the unit vectors in the x- and y-directions respectively and Uo is a constant with units m/s. (i) Determine the magnitude and direction of the velocity at the point (1,1). (ii) Find the equation of the streamlines.

A cube of side (a) and mass (M) is initially sitting fully submerged at the bottom of a container filled with a liquid of kinematic viscosity v and density p. The container has a square cross-section of side (a+a/5) and the cube is sitting right at the middle of the container base. (a) A force (F) starts pulling the cube up at a constant velocity (U). Develop an expression for the force in terms of (U, M. a. g, p and v). You may assume that the velocity in the gap between the cube's sides and the container walls is linear. The expression for (F) is to be valid as long as the cube remains submerged. (b) After the cube reaches the water surface, it continues to be pulled up by the same force. Develop a differential equation for the variation with time of the fraction of the cube that is submerged in water.