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(2) A two-dimensional flow ield is given as V -2xy,-y'8,. Which one of o,-yo Which one...
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))
The following two-dimensional incompressible flow field is given: u = x2y v = x (1 –...
The following two-dimensional incompressible flow field is
given:
u = x2y
v = x (1 – y2)
Find pressure distribution, i.e., P=P(x,y), assuming no
gravity in x and y directions.
1) The following two-dimensional incompressible flow field is given u-xy Find pressure distribution, ie, p-P(y), assuming no gravity in x and y directions.
Question 2 Figure 2: Flow between two inclined plates Consider a two-dimensional plates, as shown in...
Question 2 Figure 2: Flow between two inclined plates Consider a two-dimensional plates, as shown in figure 2. Assume that pressure increases 30°. Acceleration due t o Pa and the channel height is h 10 cm inclined at te the velocity profile of the flow. State your assumptions and show your work. onal Newtonian, steady state, incompressible flow of a fluid be- by 1 kPa/ a dynamic viscosity of H1-1 x 10 amic viscosity of uo wall towards the right....
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...
5. Let F (y”, 2xy + €35, 3yes-). Find the curl V F. Is the vector...
5. Let F (y”, 2xy + €35, 3yes-). Find the curl V F. Is the vector field F conservative? If so, find a potential function, and use the Fundamental Theorem of Line Integrals (FTLI) to evaluate the vector line integral ScF. dr along any path from (0,0,0) to (1,1,1). 6. Compute the Curl x F = Q. - P, of the vector field F = (x4, xy), and use Green's theorem to evaluate the circulation (flow, work) $ex* dx +...
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 you...
please solve (va20) for me thanks!! :) V VISCOUS FLOWS Page 38 nar flow between two infinite plates a distance h apart driven by a pressure gra- Va20. For lami dient, the velocity profile is [constan...
please solve (va20) for me thanks!! :)
V VISCOUS FLOWS Page 38 nar flow between two infinite plates a distance h apart driven by a pressure gra- Va20. For lami dient, the velocity profile is [constant] [linear] [parabolic] [hyperbolic] [elliptic] [error func- tion], and the flow rate Q is proportional to h to the power is driven by the top plate moving at a speed U in the absence of any pressure gradient, the velocity profile is [constant] linearl Iparabolic]...
Consider a two-dimensional, fully-developed, steady viscous flow of water through a duct of constant one-centimeter width...
Consider a two-dimensional, fully-developed, steady viscous flow of water through a duct of constant one-centimeter width in the y-direction. There is no pressure variation through the flow but the water flows in the positive x-direction, which is the direction of the gravity force. $y = 0 and gx = g. (a) Using the continuity and momentum equations, determine the magnitude of the v component of velocity and develop the ordinary differential equation that governs the u component of velocity. (b)...
Find Flux of given Vector Field across given Surface. F 5x j-zk; S is the portion of the parabolic cylinder y 9x for which 0 S z S 3 and-1sxS1; direction is outward (away from the y-z plane) Select o...
Find Flux of given Vector Field across given Surface. F 5x j-zk; S is the portion of the parabolic cylinder y 9x for which 0 S z S 3 and-1sxS1; direction is outward (away from the y-z plane) Select one: 190.275 O -30 O .000125 O 30 O 10 O -10 O 1.2T
Find Flux of given Vector Field across given Surface. F 5x j-zk; S is the portion of the parabolic cylinder y 9x for which 0 S z...
MARK WHICH STATEMENTS BELOW ARE TRUE, USING THE FOLLOWING, Consider Vf(x, y, z) in terms of...
MARK WHICH STATEMENTS BELOW ARE TRUE, USING THE FOLLOWING, Consider Vf(x, y, z) in terms of a new coordinate system, x= x(u, v, w), y=y(u, v, w), z=z(u, v, w). Let r(s) = x(s) i+y(s) + z(s) k be the position vector defining some continuous path as a function of the arc length. Similarly for the other partial derivatives in v and w. For spherical coordinates the following must also be true for any points, x = Rsin o cose,...
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))
The following two-dimensional incompressible flow field is
given:
u = x2y
v = x (1 – y2)
Find pressure distribution, i.e., P=P(x,y), assuming no
gravity in x and y directions.
1) The following two-dimensional incompressible flow field is given u-xy Find pressure distribution, ie, p-P(y), assuming no gravity in x and y directions.
Question 2 Figure 2: Flow between two inclined plates Consider a two-dimensional plates, as shown in figure 2. Assume that pressure increases 30°. Acceleration due t o Pa and the channel height is h 10 cm inclined at te the velocity profile of the flow. State your assumptions and show your work. onal Newtonian, steady state, incompressible flow of a fluid be- by 1 kPa/ a dynamic viscosity of H1-1 x 10 amic viscosity of uo wall towards the right....
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...
5. Let F (y”, 2xy + €35, 3yes-). Find the curl V F. Is the vector field F conservative? If so, find a potential function, and use the Fundamental Theorem of Line Integrals (FTLI) to evaluate the vector line integral ScF. dr along any path from (0,0,0) to (1,1,1). 6. Compute the Curl x F = Q. - P, of the vector field F = (x4, xy), and use Green's theorem to evaluate the circulation (flow, work) $ex* dx +...
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 you...
please solve (va20) for me thanks!! :)
V VISCOUS FLOWS Page 38 nar flow between two infinite plates a distance h apart driven by a pressure gra- Va20. For lami dient, the velocity profile is [constant] [linear] [parabolic] [hyperbolic] [elliptic] [error func- tion], and the flow rate Q is proportional to h to the power is driven by the top plate moving at a speed U in the absence of any pressure gradient, the velocity profile is [constant] linearl Iparabolic]...
Consider a two-dimensional, fully-developed, steady viscous flow of water through a duct of constant one-centimeter width in the y-direction. There is no pressure variation through the flow but the water flows in the positive x-direction, which is the direction of the gravity force. $y = 0 and gx = g. (a) Using the continuity and momentum equations, determine the magnitude of the v component of velocity and develop the ordinary differential equation that governs the u component of velocity. (b)...
Find Flux of given Vector Field across given Surface. F 5x j-zk; S is the portion of the parabolic cylinder y 9x for which 0 S z S 3 and-1sxS1; direction is outward (away from the y-z plane) Select one: 190.275 O -30 O .000125 O 30 O 10 O -10 O 1.2T
Find Flux of given Vector Field across given Surface. F 5x j-zk; S is the portion of the parabolic cylinder y 9x for which 0 S z...
MARK WHICH STATEMENTS BELOW ARE TRUE, USING THE FOLLOWING, Consider Vf(x, y, z) in terms of a new coordinate system, x= x(u, v, w), y=y(u, v, w), z=z(u, v, w). Let r(s) = x(s) i+y(s) + z(s) k be the position vector defining some continuous path as a function of the arc length. Similarly for the other partial derivatives in v and w. For spherical coordinates the following must also be true for any points, x = Rsin o cose,...
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