CXa) Investigate whether the function orepresents the velocity potentialx²+y2of a particular incompressible 2D flow, and if so, what should be thedimension of constant C which has value of 2. b) Obtain expressions for the x and y components of the velocity in this flow.Show that, at the point where the streamlines intersect the y-axis, thev areparallel to the x-axis.c) Show that the equation for the equipotential line for which the potentialfunction has a numerical value of ½ is a circle. Determine the radius andcoordinates of the centre of this circle and make an accurate labelled sketchshowing the equipotential.

∅=cxx2+y2 c=2Now for φ to represent velocity potential of incompressible 2D flow…

Answered: whether the function o represents the…

whether the function o represents the velocity potential %3D x2+y2 lar incompressible 2D flow, and if so, what should be the

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

See similar textbooks

Similar questions

A prototype ocean platform piling is expected to encountercurrents of 150 cm/s and waves of 12-s period and 3-mheight. If a one-fifteenth-scale model is tested in a wavethe channel, what current speed, wave period, and wave heightshould be encountered by the model?
PLEASE ANSWER CORRECTLY and with full explanation dont do shortcut. you getting 2 $ for it. DONT GIVE WRONG ANSWER I HAVE TO POST IT SECOND TIME. I dont want to give 8 dislikes as given to above expert A two-dimensional flow (x-y plane) is given by u =x +yt and v = - y+xtwhere u and y are the components of the velocity in the x and ydirections respectively, and t is time.A. Is this flow incompressible? Show how you reached yourconclusion.B. Determine the time rate of change of u an v for the fluid particlewhich is located at (x,y) = (2,2) at t = 2 seconds
In Cartesian coordinates (x, y, x), the velocity of a three-dimensional flow in x and an incompressible motion in three directions in the x and z directions are given below. u=3.x.y2 w=4.y.z2 If only the numerical magnitude of the speed in (1,2,1) coordinates is 15 speed units a) What is the Velocity expression in the y direction b) what are the acceleration components in the three directions c) Calculate the resultant acceleration at point (3,1,2)
2. The apparatus shown below is designed to measure the density of an unknown fluid (p2₂). The two sides of the device are separated by a movable, frictionless partition. The partition is attached to the immobile sidewalls of the device via springs (different spring constants) on either side. Before pouring fluid into the device, both springs are unstretched. The device has a rectangular cross-section and extends a width w into the page. Derive an expression for the unknown density p2 = f(p1, h₁, h₂, k₁, k2, Ax, g), where Ar is the displacement of the partition relative to its equilibrium location before the fluids are poured into the apparatus. h₁ P1 k₁ 5 P2 ли Ax k₂ h₂
4. Fluid Dynamics: Blood in a new pediatric blood cannula can be described by Equation 1 below. We assume that flow conditions are steady (time independent), fully developed (fluid layers moving consistently), with laminar flow properties (no mixing or rotational fluid dynamic properties). This fluid flow is often referred to as Poiseuille flow. The figure below illustrates the concept of Poiseuille flow and the characteristic parabolic velocity distribution. X 154 AL The governing fluid momentum equation in the x-flow direction is as follows: nd dv ΔΡ 74(*)= [1] r dr dr AL is the fluid viscosity, r refers to the radial position, and AP/AL signifies the where v corresponds to the velocity, imposed pressure gradient driving flow. a. Integrated the differential equation to find v(r). Using the following boundary conditions, determine the expressions for the constants of integration in the solution to part a) and the final velocity distribution equation (parabolic shape): v must be…
None
Dentrance x=0 uentrance FIGURE P4-21 u(x) lexit x = L Dexit 4-22 For the velocity field of Prob. 4-21, calculate the fluid acceleration along the diffuser centerline as a function of x and the given parameters. For L = 1.56 m, uentrance = 22.6 m/s, and exit = 17.5 m/s, calculate the acceleration at x = 0 and x = 1.0 m. Answers: 0, -96.4 m/s²
I need answer within 20 minutes please please with my best wishes
At a particular time, the polar coordinates of a point P moving in the x-y plane are r = 4 m, 0 = 0.5 rad, and their time derivatives are dr/dt = 8 m/s and d0 /dt the velocity P, (b) What are the cartesian components of the velocity %3D %3D -2 rad/s. (a) What is the magnitude of %3D P? mB Art
Find required force equation in terms of v, h, l, and delta p
Given in table6 X1=3 Y1=5
In Cartesian coordinates (x, y, x), the velocity of a three-dimensional flow in x and an incompressible motion in three directions in the x and z directions are given below. u=3.x.y2 w=4.y.z2 If only the numerical magnitude of the speed in (1,2,1) coordinates is 15 speed units a) What is the Velocity expression in the y direction b) what are the acceleration components in the three directions c) Calculate the resultant acceleration at point (3,1,2)