A source of strength m is located a distance a above a plane wall over which is flowing astream of uniform velocity uo.+y = a(a) Write down the complex potential and show that it satisfies the boundary conditions(b) Find the position of the stagnation point in terms of m, uo and a.

Answered: Image /qna-images/answer/9e8bd44b-ec68-43db-8898-64a391d217c0.jpg

Answered: A source of strength m is located a…

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

The velocity monitoring of a fluid is u = 48xy v = N. (48 + x2 + y2) Find the current function. Is there a vortex in the flow? Can the flow be compressed?
Please help need solution of atleast first three parts . Note: Question 3 is asking for the value of C Q2 What is the net vertical force exerted by the jet on the combined wall and path surfaces?
A horizontal jet of water issues from a nozzle 7.5 cm diamter under an effective head of 67.5 m and strikes a vertical plate. Find the dyanmic thrust on plate if the plate is moving parallel to itself at 6m/s. Take Cv for the nozzle as unity.
3
A semi-infinite body is constructed from a uniform flow with velocity V∞ and a source with strength Λ = 879 m2/s at the origin. The stagnation point on the body is located at location (r,θ) = ( 13.8 m, π ). Determine the uniform flow velocity V∞, the coordinates (x, y), and the velocity components (Vx, Vy) at a point on the surface of the body with θ = 2 rad. V∞ = ___ m/s x = ___ my = ___m Vx = ____m/sVy = ____m/s
(a) Use the y-momentum equation to show that the pressure gradient across the boundary layer is approximately zero i.e. = 0 . Assume the boundary layer to be a two-dimensional ду steady and incompressible flow. Neglect gravitational forces. State clearly all assumptions made. Use the Bernoulli's equation to prove that the pressure difference is given by (b) P2-P1 = -4pU? for a fluid with constant density p flowing from point 1 to point 2 where pi, U1, A1 are the pressure, velocity and flow cross-section area at point 1 and p2, U2, A2 are the pressure, velocity and flow cross-section area at point 2 respectively. The ratio of the cross-section area A1 = 3.
4
5. Find the rate at which a fluid flowing with constant velocity u (3,0,-1) crosses each of the following triangles: (а) [(-2, 1, 0), (5, 3, -1), (8, -5, 2)], (b) [(8, -5, 2), (5, 3,-1), (-2, 1,0)), (c) [(1,-1,0), (2, 0, 2), (3, –2, –3)), (d) [(0,0,0), (0, 1,0), (1,0,0)], (e) [(1,0,0), (0, 1,0), (0,0, 1)], (f) [(0,0,0), (0,0, 1), (0, 1, 0)), (g) [(0,0,0), (1,0, 0), (0,0, 1)].
Consider the flow of a fluid at speed v0, through a cylindrical pipe of radius r. What would be the speedof this fluid at a point where, because of a constriction in the pipe, the fluid is confined to a cylindricalopening of radius r/4?
Linear Momentum Eq Problem
Find the location of the stagnation point for the flow due to a vortex +I at (2a, 0) and a vortex -25 at (-2a, 0).
A point source with volume flow Q = 30 m3/s is immersedin a uniform stream of speed 4 m/s. A Rankine half-body ofrevolution results. Compute (a) the distance from the source to the stagnation point and (b) the two points (r, θ) on thebody surface where the local velocity equals 4.5 m/s.

SEE MORE QUESTIONS

Recommended textbooks for you

Elements Of Electromagnetics

Mechanical Engineering

ISBN:

9780190698614

Author:

Sadiku, Matthew N. O.

Publisher:

Oxford University Press

Mechanics of Materials (10th Edition)

Mechanical Engineering

ISBN:

9780134319650

Author:

Russell C. Hibbeler

Publisher:

PEARSON

Thermodynamics: An Engineering Approach

Mechanical Engineering

ISBN:

9781259822674

Author:

Yunus A. Cengel Dr., Michael A. Boles

Publisher:

McGraw-Hill Education

Elements Of Electromagnetics

Mechanical Engineering

ISBN:

9780190698614

Author:

Sadiku, Matthew N. O.

Publisher:

Oxford University Press

Mechanics of Materials (10th Edition)

Mechanical Engineering

ISBN:

9780134319650

Author:

Russell C. Hibbeler

Publisher:

PEARSON

Thermodynamics: An Engineering Approach

Mechanical Engineering

ISBN:

9781259822674

Author:

Yunus A. Cengel Dr., Michael A. Boles

Publisher:

McGraw-Hill Education

Control Systems Engineering

Mechanical Engineering

ISBN:

9781118170519

Author:

Norman S. Nise

Publisher:

WILEY

Mechanics of Materials (MindTap Course List)

Mechanical Engineering

ISBN:

9781337093347

Author:

Barry J. Goodno, James M. Gere

Publisher:

Cengage Learning

Engineering Mechanics: Statics

Mechanical Engineering

ISBN:

9781118807330

Author:

James L. Meriam, L. G. Kraige, J. N. Bolton

Publisher:

WILEY

SEE MORE TEXTBOOKS

A source of strength m is located a distance a above a plane wall over which is flowing a stream of uniform velocity uo. -y = a (a) Write down the complex potential and show that it satisfies the boundary conditions (b) Find the position of the stagnation point in terms of m, u, and a.