b) In a flow field, there are two sources having equal strengths located along the x-axis at x = 0 and x = 3 m, and a sink located on the y -axis at y = 3 m as illustrated in Figure Q2(b). If the strength for each source is 0.5 m²/s and for the sink is 1.0 m²/s, determine the magnitude and direction of the fluid velocity at point P (x, y) = (6 m, 0 m). y B P 3 m A 3m 6 m Figure Q2(b)

b) In a flow field, there are two sources having equal strengths located along the x-axis at x = 0 and x = 3 m, and a sink located on the y -axis at y = 3 m as illustrated in Figure Q2(b). If the strength for each source is 0.5 m²/s and for the sink is 1.0 m²/s, determine the magnitude and direction of the fluid velocity at point P (x, y) = (6 m, 0 m). y B P 3 m A 3m 6 m Figure Q2(b)

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

4. Consider the steady, two-dimensional velocity field given by: u = 2xy-y²; v=x-y². Show that it is a possible 2d incompressible flow. Find the component of acceleration in x direction of a fluid particle at point (x, y) = (1,2)
4. Consider a viscous flow inside an annular pipe. The inner surface of the pipe is located at r = R₁ and is stationary. The outer surface is located at r = Ro and moves to the right with speed Upipe. The pressure inside the pipe is constant. The fluid inside the pipe has dynamic viscosity μ. Assume that the flow is steady, incompressible, fully-developed, axisymmetric, non-rotating, and has negligible body forces. Starting from the differential form of the conservation of mass and momentum equations: a. Derive an equation for the velocity inside the pipe in terms of Upipe, R₁, Ro, and r. b. Determine the average velocity inside the pipe in terms of Upipe, R₁, and Ro. C. Determine the shear stress acting on the inner annulus in terms of Upipe, Ri, Ro, and u. Upipe er R₁ fluid
Problems 2 Find the stream Lines if 2 U = 2 x + Y V =-4xY 19
Question 3 Consider the two-dimensional incompressible velocity potential O = xy + x² – y2 a) Show that this flow is irrotational. b) Find the stream function Y(x, y), if Y(0,0) = 0 .
4.5 The water flows in a 4m wide canal at a velocity of 5 m/s. A wedge-shaped column bifurcates the stream, as shown in Fig. 4.29. Calculate the force per unit depth exerted by the water stream on the column, if the wedge angle (a) is 30°. V=5m/s V=5 m/s V=5 m/s Fig. 4.29 [Ans: 3407.4N]
4.12. Show that the pattern due to a two-dimensional sink at the origin and sources at (0-5, 0) and (2, 0), all of strength 27, represents flow due to a source near a cylinder. Using angle measurements from a scale drawing, evaluate y for a series of points in the first and second quadrants and, by interpolation, draw the 37 streamlines =, and 4 !3!
The equation shown is the continuity equation for steady, compressible flow. P1Q1=P2Q2 TRUE FALSE
In three-dimensional fluid flow, the velocity component an u = * + y z, v = - (xy + yz + zx). Determine the %3D satisfy the continuity equation.
2.16 A velocity field is given by V = ayti-bxj, where a = 1 s-² and b=4s ¹. Find the equation of the streamlines at any time t. Plot several streamlines at t=0 s, t= 1 s, and t = 20 s.
5.6 The x component of velocity for a flow field is given as u = Ax²y² where A = 0.3 m3 s and x and y are in meters. Determine the y component of velocity for a steady incompressible flow. Determine the equation of the streamline and plot the streamline that goes thrquek. the noint (x.y)=(1,4).
Problem 3: Obtaining the stream function from velocity components The steady state, incompressible flow field for two-dimensional flow is given by the following velocity components: V =16y-x and v, =16x + y %3D Determine the equation for the stream function and make sure continuity is satisfied.