The velocity field of a flow is given by V = (2+1) x y2 i +...
The velocity field of a flow is given by V = (2+1) x y2 i + (3+2) t j m/s where x and y is in meter and t in seconds. Determine the following at point (1, 2) and t= 3 s:
1. The fluid speed.
2. The angle between the velocity vector and the positive x
3. Locations (if avaliable) of any stagnation point for this flow
field?
4. The local acceleration, then classiffy the flow . 5. The
convective acceleration at point (1 , 2) when t = 3 s.
The velocity field of a flow is given by V = (2+1) x
y2 i + (1+2) t j m/s where x and y is in meter and t in seconds.
Determine the following at point (1, 2) and t= 3 s: 1. The fluid
speed. 2. The angle between the velocity vector and the positive x
3. Locations (if avaliable) of any stagnation point for this flow
field? 4. The local acceleration, then classiffy the flow . 5. The
convective acceleration at point (1 , 2) when t = 3 s.
this is the correct one ?
Homework Answers
1. The velocity in a certain two-dimensional flow field is given by the equation -= 2zt의...
1. The velocity in a certain two-dimensional flow field is given by the equation -= 2zt의 _ 2yte2 where the velocity is in ft/s when x, y, and t are in feet and seconds, respectively. Determine expressions for the local and convective components of acceleration in the x and y direc tions. What is the magnitude and direction of the velocity and the acceleration at the point x = y = 2 ft at the time t = 0.
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).
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?
C- A steady, incompressible, two-dimensional velocity field of a fluid is given by に(u, v) =...
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).
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)
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)
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)
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)
The velocity of a two dimensional flow field is given by: V = 2xyềti – žytj...
The velocity of a two dimensional flow field is given by: V = 2xyềti – žytj Identify the local acceleration. (2xy^(2))i - ((2/3) y^(3)) (x^(-2)^(-3) i + (2x^(2)y t)j (2x^(2)yt) i - (2xy(2)t); (2x^(2) y t)i + (x^(-2) y^(-3))
4. A velocity field of a fluid flow is given by Vi+ zj The velocity is...
4. A velocity field of a fluid flow is given by Vi+ zj The velocity is in m/s. Calculate the acceleration at point (2, 5, 3) at 1 0.5 s (10 points)
1. The velocity in a certain two-dimensional flow field is given by the equation -= 2zt의 _ 2yte2 where the velocity is in ft/s when x, y, and t are in feet and seconds, respectively. Determine expressions for the local and convective components of acceleration in the x and y direc tions. What is the magnitude and direction of the velocity and the acceleration at the point x = y = 2 ft at the time t = 0.
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?
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).
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 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)
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)
The velocity of a two dimensional flow field is given by: V = 2xyềti – žytj Identify the local acceleration. (2xy^(2))i - ((2/3) y^(3)) (x^(-2)^(-3) i + (2x^(2)y t)j (2x^(2)yt) i - (2xy(2)t); (2x^(2) y t)i + (x^(-2) y^(-3))
4. A velocity field of a fluid flow is given by Vi+ zj The velocity is in m/s. Calculate the acceleration at point (2, 5, 3) at 1 0.5 s (10 points)
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