Vu-vQuestion 4: Consider fully developed Couette flow - flow betweentwo infinite parallel plates separated by distance h, with the topplate moving and the bottom plate stationary as illustrated. The flowis steady, incompressible, and two dimensional in the xy-plane. Thevelocity field is given by V = (u,v) = (V y/h)ỉ + 0ỷ, Generate anexpression for stream function Yalong the vertical dashed line inthe figure. For convenience, 4= 0 along the bottom wall of the channel. What is the value of Yalong the top wall?

In this problem, we are dealing with a fully developed Couette flow, which is a flow between two…

Answered: V u-v Question 4: Consider fully…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Consider fully developed Couette flow between two infinite parallel plates separated by distance h, with the top plate moving and the bottom plate stationary, as illustrated in the figure below. The flow is steady, incompressible, and two-dimensional in the XY plane. The velocity field is given by V }i = (u, v) = (v² )i +0j = V (a) Find out the acceleration field of this flow. (b) Is this flow steady? What are the u and v components of velocity? u= V² h
(c) Sketch a plot of where the x-component of the acceleration stagnates between -5 0, x < 0, and y = 0? Why? v = DO NOT U DO NOT UPI PLOAD TO can UPL TO
An idealized incompressible fl ow has the proposed threedimensionalvelocity distributionV = 4xy2i + f (y)j - zy2k Find the appropriate form of the function f ( y ) that satisfi esthe continuity relation.
Pravin bhai
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 as illustrated in figure below. The flow is steady, incompressible, and two-dimensional in the xy-plane. The velocity field is given by: V = (u, v) = V +07 h Is this flow rotational or irrotational? If it is rotational, calculate the vorticity component in the z- direction. Do fluid particles in this flow rotate clockwise or counterclockwise? u = v
Question 1: Consider fully developed two-dimensional Poiseuille flow: flow between two infinite parallel plates separated by distance h, with both the top plate and bottom plate stationary, and a forced pressure gradient dP/dx driving the flow as illustrated in the figure (dP/dx is constant and negative). The flow is steady, incompressible, and two-dimensional in the xy-plane. The velocity components are given by 1 dP u = -(y² - hy); v = 0 2μ αχ h where μ is the fluid's viscosity. Is this flow rotational or irrotational? u(y) a. If it is rotational, calculate the vorticity component in the z-direction. Do fluid particles in this flow rotate clockwise or counterclockwise? b. calculate the linear strain rates in the x- and y-directions, and c. calculate the shear strain rate Exy. d. Combine your results to form the two-dimensional strain rate tensor εij in the xy-plane,
a) Contsioer THE velbeine Fieb: V- xy i+ xyj (ij UNIT VECTORS AbNG X-, AND Y DIRECTTONS) IF THE FIUID DENSITY is CONOTANT, is CONSERVATION OF MASS SATİSFİED! CONSIDER THE FolbwiNG STREAM FUNCTION is THE Flow FielD IRROTATIONAL ? WHAT is THE VelocitY POTENTIAl ? C) CONSIDER THE STREAM FUNCTION DESCRIBING A Flow Field iN THE UPPER plaNE xy yoo. FOR THERE is A plATE @ y=0. ) i) is No-slip SATİS FIED @ PIATE (y=o) DRAW THE STREAMLINES FIND THE PRESSURE AS A FUNCTION OF THE PRESSURE O ORIGIN Po. (ASSOME NO GRAVitr).
Question 1: Consider fully developed two-dimensional Poiseuille flow: flow between two infinite parallel plates separated by distance h, with both the top plate and bottom plate stationary, and a forced pressure gradient dP/dx driving the flow as illustrated in the figure (dP/dx is constant and negative). The flow is steady, incompressible, and two-dimensional in the xy-plane. The velocity components are given by 1 dP u(y) u = 2μ dx (y²hy); v = 0 where is the fluid's viscosity. Is this flow rotational or irrotational? a. If it is rotational, calculate the vorticity component in the z-direction. Do fluid particles in this flow rotate clockwise or counterclockwise? b. calculate the linear strain rates in the x- and y-directions, and c. calculate the shear strain rate ɛxy. d. Combine your results to form the two-dimensional strain rate tensor εij in the xy-plane,
PLS SHOW ME FULL STEPS SIR PLS ANSWER WITHIN 30 MIN SIR SUBJECT (FLUID MECH 2)
When a flow is considered incompressible what assumption is being made regarding fluid properties? The answer was: Density is assumed to remain constant I want to know why is this the answer?
The velocity field for a line vortex in the r?-plane is given byur = 0 u? = K / rwhere K is the line vortex strength. For the case with K = 1.5 m/s2, plot a contour plot of velocity magnitude (speed). Specifically, draw curves of constant speed V = 0.5, 1.0, 1.5, 2.0, and 2.5 m/s. Be sure to label these speeds on your plot.
A flow field is described in Cartesian coordinates by Is it incompressible?

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