Chapter 06, Problem 072 Two fixed, horizontal, parallel plates are spaced 0.5 in. apart. A viscous...
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...
An incompressible viscous fluid is placed between horizontal, infinite parallel plates as shown. The two plates move in the same direction but with different velocities, U1 and U2. The pressure gradient in the x direction is zero and the only body force is due to the fluid weight. Using the continuity and the Navier-Stokes equations, find an expression for the velocity profile between the plates. Show ALL work for full credit. U1 V=O b KO wo U2
Prob 1 • Two fixed parallel horizontal plates contains oil (SAE 30) which flows steadily in-between the channel. The pressure drop per unit length along the channel is 30 kPa/m, and the distance between the plates is 4 mm. The temperature of the oil is at 15.6°C. Assuming the flow is laminar, determine: (a) Volume flow rate (per meter of width) (b) Magnitude and direction of the shearing stress acting on the bottom of plate (c) The velocity along the...
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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...
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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...
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]...