Extend the steady flow between a fixed lower plate and a moving upper plate, from the...
For viscous flow between two plates. The lower plate is fixed and the upper plate moves with velocity u0 . If there is no pressure what would the velocity profile look like and explain why?
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...
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...
A Newtonian body wash undergoes steady shear between two horizontal parallel plates. The lower plate is fixed, and the upper plate of 1kg moves with constant velocity of 20 m/s. The distance between the plates is constant at 5 mm. The area of the upper plate in contact with the fluid is 0.5 m2 . a) What is the viscosity of the product and b) the momentum diffusivity if its density is 1010 kg/m3?
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...
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...
4. Consider fully developed Couette flow-flow between two infinite parallel plates separated by distance h, with the top plate moving and the bottom plate stationary. The flow is steady, incompressible, and two-dimensional in the xy- plane. Use the method of repeating variables to generate a dimensionless relationship for the x component of fluid velocity u as a function of fluid viscosity , top plate speed V, distance h, fluid density p, and distance y Show all your work. Hint: u...
Problem 7 (20 Points Fully developed flow between two, flate, infinite, parallel plates can be described using the boundary layer equation in nondimensional terms where Note that D is the separation distance between the plates and V is the velocity of the upper plate. There are two very important simplifications that can be made to this equation in fully developed internal flow. Make these simplifications and solve for u* as a function of y* (get me the equation of u'...
4. A laminar, one-dimensional flow far from the entrance is occurring between two parallel plates, as in question 3. Given the following velocity profile, 11(y)= 4ux with h = 0.05m, Umax = 4m/s. u=0.0010 kg/m-s and plate lengths L = 10m, obtain (a) a relation for the drag force applied by the fluid on a section of the plates of length L and (b) calculate the actual drag force. Assume a unit plate width (i.e. width = 1m).
please solve (va20) for me thanks!! :) V VISCOUS FLOWS Page 38 nar flow between two infinite plates a distance h apart driven by a pressure gra- Va20. For lami dient, the velocity profile is [constant] [linear] [parabolic] [hyperbolic] [elliptic] [error func- tion], and the flow rate Q is proportional to h to the power is driven by the top plate moving at a speed U in the absence of any pressure gradient, the velocity profile is [constant] linearl Iparabolic]...