y = 2r'sin20(2)0.5 mA 20 inviscid incompressibleIn addition, if Y=1, draw a streamline.Also plot some polar coordinates (r, 0) passing throughthe streamline, and indicate the direction of the velocityfluid flow around a corner isdescribed by the stream functionas shown. The fluid density is1000kg/m3, and the plane ishorizontal, determine thevelocity potential.If the pressure at (1) is 30 kPa,what the pressure at (2)?vector.

Given:- stream function ψ=2r2sin2θ, where ψ has units of ms2,r is in meters. fluid density=103kgm2…

y = 2r'sin20 (2) 0.5 m A 2D inviscid incompressible fluid flow around a corner is In addition, if Y=1, draw a streamline. Also plot some polar coordinates (r, 0) passing through the streamline, and indicate the direction of the velocity described by the stream function as shown. The fluid density is 1000kg/m3, and the plane is horizontal, determine the vector. velocity potential.

y = 2r'sin20 (2) 0.5 m A 2D inviscid incompressible fluid flow around a corner is In addition, if Y=1, draw a streamline. Also plot some polar coordinates (r, 0) passing through the streamline, and indicate the direction of the velocity described by the stream function as shown. The fluid density is 1000kg/m3, and the plane is horizontal, determine the vector. velocity potential.

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 field of a flow is given by V= axyi + by^2j where a = 1 m^-1s^-1 and b = - 0.5 m^-1s^-1. The coordinates are in meters. Determine whether the flow field is three-, two-, or one-dimensional. Find the equations of the streamlines and sketch several streamlines in the upper half plane
The stream function of an unsteady two-dimensional flow field is given by ? = (4x/y2 )t Sketch a few streamlines for the given flow on the xy-plane, and derive expressions for the velocity components u(x, y, t) and v(x, y, t). Also determine the pathlines at t = 0.
The flow of an incompressible §uid is defined by u=3, v=9x. Does a stream function exist for this flow? If so, determine the expression for the stream function,Ψ.
A flow is described by the flow field of vec(V)=A(1+Bt)hat(i)+Ctyhat(j), where A=1 m/s, B=1 s -1 , and C=1 s -2 . The unit for the coordinates is meters. a. Plot the pathline that passes through the point (x=1 m, y=1 m) at time t=0 . b. Compare the streamlines through the point (x=1 m, y=1 m) at time t=0, 1, and 2 s. c. Calculate the acceleration at time t=0 along the streamline passing the point (x=1 m, y=1 m) at time t=0 .
The velocity field for an incompressible flow is given by V = 5x ^ 2i- 20 xyj + 100tk. Explain whether this flow is steady or not. Is the flow two or three dimensional? Determine the magnitude and direction of the velocity and acceleration of a flow particle at t = 0.2 and position (1, 2, 3).
The stream function in a two dimensional flow field is given by sie= x2 - y2 .find the magnitude of the velocity at point (1. 1) .
Consider a velocity field where the x and y components of velocity aregiven by u = cy/(x2 + y2) and v = −cx/(x2 + y2), where c is a constant.Obtain the equations of the streamlines.
A velocity field is given by V= xi+ x(x-1)(y+ 1)j, where x and y are in feet. Plot the stream line that passes through, x= y= 0 for the range, -1 ≤ x≤ 3 and -0.5 ≤ y≤ 3.5
1. The components of velocity in a flow field are given byu=x2+y2+z2v=xy+yz+z2w=-3xz- 0.5z2+4a) Determine the volumetric dilatation rate and interpret the result.b) Determine an expression for the rotation vector. Is this an irrotational flow field?
A two-dimensional, incompressible flow has the velocitycomponents u = 4 y and v = 2 x . ( a ) Find the accelerationcomponents. ( b ) Is the vector acceleration radial? ( c ) Sketcha few streamlines in the first quadrant and determine if anyare straight lines.
If the stream function is y = 2xy, then the velocity at a point (1, 2) is equal to:
2- Consider the flow in rectangular coordinates given by v=i(X3Y)+j(2yx2z). Based on the continuity equation, verify that the fluid is compressible.