Please show all work Given the velocity field =101 +(x2 + y2); - 2xy K [m/s] a) b) c) Is the flow steady or unsteady? Is this motion kinematically possible for an incompressible fluid? Do you think that velocity field can represent a potential flow at specific positions of (x, y)? What is the acceleration of a particle at position (x, y, z) = (3, 1, 0) m? d)
11) (6 points) Given the velocity field V =101 +(x2 + y2); -2xy [m/s] a) b) c) Is the flow steady or unsteady? Is this motion kinematically possible for an incompressible fluid? Do you think that velocity field can represent a potential flow at specific positions of (x, y)? What is the acceleration of a particle at position (x, y, z) = (3, 1, 0) m? d)
Given the velocity field V = 101 +(x² + y2); - 2xy k [m/s] a) b) c) Is the flow steady or unsteady? Is this motion kinematically possible for an incompressible fluid? Do you think that velocity field can represent a potential flow at specific positions of(x,y)? What is the acceleration of a particle at position (x, y, z) = (3, 1, 0) m? d)
Given the velocity field ✓ =101 +(x2 + y2)ī -2xyk [m/s] b) Is the flow steady or unsteady? Is this motion kinematically possible for an incompressible fluid? Do you think that velocity field can represent a potential flow at specific positions of (x, y)? What is the acceleration of a particle at position (x, y, z) = (3, 1, 0) m? d)
Given the velocity field V =107 +(x + y2)7-2xyk [m/s] Is the flow steady or unsteady? Is this motion kinematically possible for an incompressible fluid? Do you think that velocity field can represent a potential flow at specific positions of (x, y)? What is the acceleration of a particle at position (x, y, z) = (3, 1, 0) m?
Consider the flow field with velocity given by: V = [A(y2-x2)-Bx] i + [2Axy+By] j, where A = 4 m-1s -1 and B = 4 m-1s -1. The coordinates are measured in meters. The density is 1,000 kg/m3, and gravity acts in the negative y-direction Calculate the acceleration of a fluid particle and the pressure gradient at point (x, y) = (1, 1).
2) A flow field has velocity field given by: u= x2 - y2, v= -2xy 1. Prove that the flow is irrotational 2. Determine the stream function, 3. Find the potential function, 4. Create a plot of the flow net diagram
2. The velocity field for a fluid is defined by u = [y/(x2 + y2)] and v = [4x/(x2 + y2)] where x and y are in meters. Determine the acceleration of a particle located at point (2m, 0).
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).
Consider the velocity field V - A(4- 6x2y2 +y4)i+ A(4xy3 - 4x3y) j in the xy plane, where A 0.28 m3.s1, and the coordinates are measured in meters. (a) Is this a possible incompressible flow field? (b) Calculate thex component and (c) y-component of the acceleration of a fluid particle at point (x,y)-(2, 3) b) -119 m/s 2 120 (c) ay - m/s2