2- Determine the stream function that yields the velocity field V=2y(2x+1) 7+[x(x+1)-2y?]/ 3. A steady three-dimensional...
Fluid mechanics
I A velocity field is given by v = 2y^+-2x] (a) Is the flow steady? noble (6). Is the law irratungl * v=0 1 (c) What is the velocity of a particle at (2,1)? (d) Oblain an equation for the streamline through (2, 1).
Ila A three-dimensional velocity distribution is given by u=-x, v-2y, w-5-. Find the equation of the streamline through (2,1,1). Ans:x,5-2-(5-z)/x A three-dimensional velocity distribution is given by u=-x, v=2y, w= 6-2. Find the equation of the streamline through (1,2,3). Ans : xv) 1414 and (6-2)/x = 3 fundb L
Problem 9-A Consider the following steady, three-dimensional velocity field in Cartesian coordinate: u,V, W where a, b, c, and d are constants. Under what conditions is this flow field incompressible?
Problem 9-A Consider the following steady, three-dimensional velocity field in Cartesian coordinate: u,V, W where a, b, c, and d are constants. Under what conditions is this flow field incompressible?
can you solve the last question
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Q1. Consider a steady, two-dimensional, incompressible flow field has the velocity potential a) b) c) 2 (x-7)(x+y) Determine the velocity components and verify that continuity is satisfied. [4 marks] Verify that the flow is irrotational. [2 marks] Determine the corresponding stream function. [4 marks) Now, consider a steady, two-dimensional, incompressible flow defined by velocity components u = ax + b&v=-ay + cx, where a, b and care constants. Neglect gravity. d) e) Show...
A steady, incompressible, two-dimensional (in the x-y plane) velocity field is given by V = (0.523-1.88x + 3.94y) i + (-2.44 + 1.26x + 1.88y) j . Calculate the acceleration at the point (x,y-(2, 3) The acceleration components are ax Acceleration components at (2, 3) are
C- A steady, incompressible, two-dimensional velocity field of a fluid is given by に(u, v) = (0.5 + 0.8x) velocity is in m/s. Determine: i+(1.5-0.8y) j where the x- and y-coordinates are in meters and the of 1-The stagnation point of the flow 2-The material acceleration at the point (x 2 m, y - 3m).
ents of a steady state, incompressible two dimensional flow is given by u 2y determine the corresponding stream function and sketc h the stream lines. Specify the line of (solid Boundaries) and plot all possible streamlines.
Consider the following steady, two-dimensional, incompressible velocity field V - (10x +2) i+ (-10y -4) j. Is this flow field irrotational? If so, generate an expression for the velocity potential function. 5.
Problem #5 Consider a steady, incompressible, inviscid two-dimensional flow in a corner, the stream function is given by, -xy a) Obtain expressions for the velocity components u and v b) If the pressure at the origin, O, is equal to p o obtain an expression for the pressure field Sketch lines of constant pressure c)
The stream function for a given two-dimensional flow field is w = 11x²y- (11/3)y3 Determine the corresponding velocity potential. Denote the constant of integration C. 4- (11x) ' - ( 11x) +C Edie