Consider the flow field with velocity given by: V = [A(y2-x2)-Bx] i + [2Axy+By] j, where...
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).
Homework Answers
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Consider the flow field with velocity given by: V =
[A(y2-x2)-Bx] i + [2Axy+By] j,
where...
Consider the velocity field V - A(4- 6x2y2 +y4)i+ A(4xy3 - 4x3y) j in the xy...
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
Given the velocity field j = 101 +(x2 + y2)7 - 2xy K (m/s) a) b)...
Given the velocity field j = 101 +(x2 + y2)7 - 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...
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)
2. The velocity field for a fluid is defined by u = [y/(x2 + y2)] and...
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).
11) (6 points) Given the velocity field V =101 +(x2 + y2); -2xy [m/s] a) b)...
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)
Please show all work Given the velocity field =101 +(x2 + y2); - 2xy K [m/s]...
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)
Given the velocity field V =107 +(x + y2)7-2xyk [m/s] Is the flow steady or unsteady?...
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?
6.35 The x component of velocity in a two-dimensional incompressible flow field is given by uAx;...
6.35 The x component of velocity in a two-dimensional incompressible flow field is given by uAx; the coordi nates are measured in meters and A 3.28 m There is no velocity component or variation in the z direction. Calculate the acceleration of a fluid particle at poin (x, y)- (0.3, 0.6). Estimate the radius of curvature of the streamline passing through this point. Plot the streamline and show both the velocity vector and the acceleration vector on the plot. (Assume...
Consider the flow field represented by the velocity potential φ = Ax+Bx2−By2, where A = 1...
Consider the flow field represented by the velocity potential φ = Ax+Bx2−By2, where A = 1 m/s, B = 1 s−1, and the coordinates are measured in meters. Obtain expressions forthe velocity field and the stream function. Using water as the working fluid, calculate the pressure difference between the origin and the point (x,y) = (1,2). What is the volume flow rate (per unit depth) between streamlines passing through these two points?
Given the velocity field V = 101 +(x² + y2); - 2xy k [m/s] a) b)...
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)
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
Given the velocity field j = 101 +(x2 + y2)7 - 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)
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).
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)
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)
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?
6.35 The x component of velocity in a two-dimensional incompressible flow field is given by uAx; the coordi nates are measured in meters and A 3.28 m There is no velocity component or variation in the z direction. Calculate the acceleration of a fluid particle at poin (x, y)- (0.3, 0.6). Estimate the radius of curvature of the streamline passing through this point. Plot the streamline and show both the velocity vector and the acceleration vector on the plot. (Assume...
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)
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