Water is in steady fully developed laminar flow between two horizontal, very wide (W) and long...
y-velocity cannot be a onsider a steady, laminar, fully developed (hint: this means function to the motion applied in the y-direction. Assume that the flow is 2D (in the x and y) and that grav of yJ, incompressible flow between two infinite plates as shown. The flow is due of the left plate at a rate of Vo, as well as, a pressure gradient that is points in the negative y-direction. (15 points) Vo List the assumptions of the problem...
help b) Laminar viscous flow between two parallel plates are shown in the figure below. Both bottom plate and top plate moving in the same direction, their velocities are U6,U respectively and they are not equal to each other. Assume that pressure gradient between point A and point B is zero. By using Navier Stokes equations find the shear stress distribution and velocity profile for that fluiği. Plot both velocity profile and shear distribution. (Show assumptions that you make and...
please help?? b) Laminar viscous flow between two parallel plates are shown in the figure below. Both bottom plate and top plate moving in the same direction, their velocities are Un,Ut respectively and they are not equal to each other. Assume that pressure gradient between point A and point B is zero. By using Navier Stokes equations find the shear stress distribution and velocity profile for that fluid. Plot both velocity profile and shear distribution. (Show assumptions that you make...
Consider steady laminar viscous fluid between two parallel plates with distance h separated from each other. A pressure gradient dp/dx drives the flow. By considering forces acting on a small volume between the parallel plates, obtain the velocity profile, the volumetric flow rate, and the average velocity in terms of centerline velocity Umax Umax
An important problem in chemical engineering separation equipment involves thin liquid films flowing down vertical walls due to gravity, as shown in this figure yV A. Assume that the wall is long and wide compared to the film thickness, with steady flow that is laminar and fully developed: u= v=0 and w w(x). Using a force balance on a rectangular differential element, derive an expression relating g, p, and τΧΖ . Use τΧΖ-n(-_ +--) for a Newtonian fluid to convert...
Problem 1: Differential Relations for a Fluid Particle (25 points) Two horizontal, infinite, parallel plates are spaced a distance b apart. A viscous liquid is contained between the plates. The bottom plate is fixed, and the upper plate moves parallel to the bottom plate with a velocity U. Assume no-slip boundary conditions. There is no pressure gradient in the direction of flow (a) Demonstrate using the Navier-Stokes equation in the x-direction that the velocity profile is of the form: (15...
Consider steady, incompressible, laminar flow of a Newtonian fluid in the narrow gap between two infinite parallel plates. The top plate is moving at speed V, and the bottom plate is moving in the opposite direction at speed V. The distance between these two plates is h, and gravity acts in the negative z-direction. There is no applied pressure other than hydrostatic pressure due to gravity. Calculate the velocity and estimate the shear stress acting on the bottom plate Moving...
Consider the steady, laminar flow of two liquids, A and B, with viscosities HA-μ and μΒ 21, respectively, between infinite parallel plates at 2- a, as shown in the diagram below. The plate at 2 a is fixed, while the plate at 2a moves with constant velocity -Vi, where V0. The liquids do not mix, and each forms a layer of depth a. There is an applied pressure gradient acting on both liquids, given by ▽p--Ci (where C > 0...
Two horizontal plates with infinite length and width are separated by a distance H in the zdirection. The bottom plate is moving at a velocity vx=U. The incompressible fluid trapped between the plates is moving in the positive x-direction with the bottom plate. Align gravity with positive z. Assume that the flow is fully-developed and laminar. If the systems operates at steady state and the pressure gradient in x-direction can be ignored, do the following: 1. Sketch your system. 2....
A laminar flow of constant density and constant viscosity at steady state flows thought the two flat and parallel infinite plate. The upper plate is mowing while lower plate is stationary. The flow upper plate: moving is driven by the pressure gradient in the x direction. The velocity profile is desired to be derived for this system. Then - What are the correct answers? 20 lower plate: stationary ay c) PS, 0 200 b- Write the equation to find out...