Volume Using Multiple Integration
This is a PAST exam question. Please help me understand how to go about questions a and b. I think I need some kind of double integral or something?
Velocity field bewteen two plates, 1 fixed, 1 moving with u=Asin(omega*t)
Two infinite parallel plates are separated by a distance h. The space between them is filled with a Newtonian fluid, density (rho), viscosity (mu). The lower plate is fixed, but the upper plate executes a sinusoidal motion. (U=A*sin(omego*t) Calculate the velocity field between the plates, and plot some representative profiles ...continues
Calculating rates of strain, vorticity, and rate of dilatation for 3 flows.
Calculate the rates of strain, vorticity, and rates of dilatation for 3 flows. a) u=cx, v=cy, w=-2cz b) u=c, v=w=0 c) u=2cy, v=w=0
Determining which cases represent 2-D flow with constant density.
Which of the following sets of equations represent possible cases of two-dimensional flow with constant density? a) u=x+y; v=x-y b) u=x+2y; v=x^2-y^2 c) u=4x+y; v=x-(y^2) d) u=x*t+2y; v=x^2-y*(t^2) e) u=x*t^2 ; v=x*y*t+y^2
Derive expressions for the velocity in outer and inner regions of flow in long tube.
Problem statement in attachment.
Please see attachment for problem statement
See attached file
Consider the steady flow of a Casson Fluid through a rigid circular pipe of radius a, driven by a pressure gradient, show velocity is given by... Please see attachment
Consider the steady flow of a Casson Fluid through a rigid circular pipe of radius R, driven by a pressure gradient ...Show that the VOLUME flow rate is given by...Please see attachment.
Dimensional Analysis and Dynamic Similtude
Determine the specific gravity of spherical particles, D=(1/200 in), which drop through air at 33degrees F at a speed U of 0.3 ft/s. The drag force on a small sphere in laminar motion is given by 3(pi)(mu)DU. This problem is in Fluid Mechanics by Victor Streeter and the answer given is 0.185.
