What are unique physical characteristics of the rotational flow in contrast to the irrotational flow?
What are unique physical characteristics of the rotational flow in contrast to the irrotational flow? Determine whether the flow is rotational or irrotational using an expression for the velocity of the flow field described by V = x2y i + xy2j.
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What are unique physical characteristics of the rotational flow in contrast to the irrotational flow?
1) What is the equation for the volumetric strain rate? (Hint: Uses dot product). incompressible flow be determined...
1) What is the equation for the volumetric strain rate? (Hint: Uses dot product). incompressible flow be determined from the volumetric strain rate? Given the velocity field V= (u, v) (0.75+1.2x) +(2.25-1.2y ), determine if the flow is incompressible or compressible. (20 pts) How can 2) What is the equation for vorticity? (Hint: Uses cross product). How can irrotational flow be determined from vorticity? Given the velocity field V = (u, v) (0.75+ 1.2x)t+ (2.25 1.2y), determine if the flow...
A flow is described by the stream function U = (9x - 5y) m/s, where I...
A flow is described by the stream function U = (9x - 5y) m/s, where I and y are in meters. Part D Choose the correct expression for the average angular velocity + + o ws=1 (en en) Submit Request Answer Part E Determine if the flow is rotational or irrotational. Choose the option with correct explanation. Since w =0, the flow is irrotational. Since w =0, the flow is rotational. Since w, 70, the flow is irrotational Since w,...
Q1. (a) The velocity components of a certain two-dimensional flow field are claimed to be given...
Q1. (a) The velocity components of a certain two-dimensional flow field are claimed to be given by u = -Cy and v = Cx , where is a constant. (i) Does this velocity distribution satisfy continuity? If yes, what is the stream function y ? (8 marks) (ii) Analyse whether the flow is rotational or irrotational. What is the velocity potential o ? (4 marks) (iii) Sketch several y and lines (if exist) of the flow field. Briefly explain how...
Question 1 (10 points) Rotational Flow and Vorticity The velocity components for a two-dimensional flow are...
Question 1 (10 points) Rotational Flow and Vorticity The velocity components for a two-dimensional flow are u = ln hie) v = created where C is a constant. Is the flow irrotational?
Problem M.7 The velocity and pressure are given at two points in the flow field. Assume...
Problem M.7 The velocity and pressure are given at two points in the flow field. Assume that the two points lie in a horizontal plane and that the fluid density is uniform in the flow field and is equal to 1000 kg/m3. Assume steady flow. Do necessary computation, then determine which of the following statements is true (a) The flow in the contraction is nonuniform and irrotational. (b) The flow in the contraction is uniform and irrotational. (c) The flow...
The velocity in a certain two-dimensional flow field is given by the equation: ✓ = 2xti...
The velocity in a certain two-dimensional flow field is given by the equation: ✓ = 2xti – 2 yı where the velocity is in ft/s when x, y, and t are in feet and seconds, respectively. (a) Is flow steady or unsteady (b) Determine the expression of acceleration (c) Check if the flow is compressible or incompressible (d) Check if the flow is rotational or irrotational (e) Sketch the streamlines of t= ls on a x-y plane W
please be thorough in explaining the solutions, if u going to hand write the solution please...
please be thorough in
explaining the solutions, if u going to hand write the solution
please make sure it's clear .. THANK YOU
The velocity field in af uid motion is given by: V-y3/3 + 2x-ry)i + (xy.2y-r3/3j (a) Check whether the flow is compressible or incompressible b) Check whether whether flow is rotational or irrotational
1) The velocity components in a 2-D incompressible flow are expressed as; u =(y/3 + 2x...
1) The velocity components in a 2-D incompressible flow are expressed as; u =(y/3 + 2x - x’y) m/s and v = (xy? - 2y - x®/3) m/s a) Determine the velocity and acceleration at point P (1, 3). (1 point) b) Is the flow physically possible? (Proof needed) (1 point) c) Obtain an expression for the stream function. () (1 point) d) What is the discharge between the streamlines passing through (1, 3) and (2, 3). (1 point) e)...
. Consider the following two dimensional velocity field ~v(x, y) = −xy3ˆi + y 4 ˆj....
. Consider the following two dimensional velocity field ~v(x, y) = −xy3ˆi + y 4 ˆj. (a) Sketch a figure of the streamlines for this flow field. Include arrows on your streamlines to indicate the direction of the flow. (b) Is this flow field incompressible or compressible? Show all work. (c) Derive an expression for the vorticity vector ~ζ for this flow field. (d) Is this flow field rotational or irrotational? Provide some evidence in support of your answer
Question 3 4-73 Solution For a given velocity field we are to calculate the vorticity Analysis...
Question 3 4-73 Solution For a given velocity field we are to calculate the vorticity Analysis The velocity field is V = (u, v, w)-(3.0+ 2.Ox-y)--(2.0-2.01.) j+10.5ryk Question 4 4-97 Solution For a given velocity field we are to determine if the flow is rotational or irrotational. 1 The flow is steady. 2 The flow is two-dimensional in the r-eplane. The velocity components for flow over a circular cylinder of radiur are Assumptions Analysis 11,--r sin θ| 1 +
1) What is the equation for the volumetric strain rate? (Hint: Uses dot product). incompressible flow be determined from the volumetric strain rate? Given the velocity field V= (u, v) (0.75+1.2x) +(2.25-1.2y ), determine if the flow is incompressible or compressible. (20 pts) How can 2) What is the equation for vorticity? (Hint: Uses cross product). How can irrotational flow be determined from vorticity? Given the velocity field V = (u, v) (0.75+ 1.2x)t+ (2.25 1.2y), determine if the flow...
A flow is described by the stream function U = (9x - 5y) m/s, where I and y are in meters. Part D Choose the correct expression for the average angular velocity + + o ws=1 (en en) Submit Request Answer Part E Determine if the flow is rotational or irrotational. Choose the option with correct explanation. Since w =0, the flow is irrotational. Since w =0, the flow is rotational. Since w, 70, the flow is irrotational Since w,...
Q1. (a) The velocity components of a certain two-dimensional flow field are claimed to be given by u = -Cy and v = Cx , where is a constant. (i) Does this velocity distribution satisfy continuity? If yes, what is the stream function y ? (8 marks) (ii) Analyse whether the flow is rotational or irrotational. What is the velocity potential o ? (4 marks) (iii) Sketch several y and lines (if exist) of the flow field. Briefly explain how...
Question 1 (10 points) Rotational Flow and Vorticity The velocity components for a two-dimensional flow are u = ln hie) v = created where C is a constant. Is the flow irrotational?
Problem M.7 The velocity and pressure are given at two points in the flow field. Assume that the two points lie in a horizontal plane and that the fluid density is uniform in the flow field and is equal to 1000 kg/m3. Assume steady flow. Do necessary computation, then determine which of the following statements is true (a) The flow in the contraction is nonuniform and irrotational. (b) The flow in the contraction is uniform and irrotational. (c) The flow...
The velocity in a certain two-dimensional flow field is given by the equation: ✓ = 2xti – 2 yı where the velocity is in ft/s when x, y, and t are in feet and seconds, respectively. (a) Is flow steady or unsteady (b) Determine the expression of acceleration (c) Check if the flow is compressible or incompressible (d) Check if the flow is rotational or irrotational (e) Sketch the streamlines of t= ls on a x-y plane W
please be thorough in
explaining the solutions, if u going to hand write the solution
please make sure it's clear .. THANK YOU
The velocity field in af uid motion is given by: V-y3/3 + 2x-ry)i + (xy.2y-r3/3j (a) Check whether the flow is compressible or incompressible b) Check whether whether flow is rotational or irrotational
1) The velocity components in a 2-D incompressible flow are expressed as; u =(y/3 + 2x - x’y) m/s and v = (xy? - 2y - x®/3) m/s a) Determine the velocity and acceleration at point P (1, 3). (1 point) b) Is the flow physically possible? (Proof needed) (1 point) c) Obtain an expression for the stream function. () (1 point) d) What is the discharge between the streamlines passing through (1, 3) and (2, 3). (1 point) e)...
Question 3 4-73 Solution For a given velocity field we are to calculate the vorticity Analysis The velocity field is V = (u, v, w)-(3.0+ 2.Ox-y)--(2.0-2.01.) j+10.5ryk Question 4 4-97 Solution For a given velocity field we are to determine if the flow is rotational or irrotational. 1 The flow is steady. 2 The flow is two-dimensional in the r-eplane. The velocity components for flow over a circular cylinder of radiur are Assumptions Analysis 11,--r sin θ| 1 +
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