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Problem 2. An incompressible, inviscid (or frictionless) flow field is specified by the stream function, Ax²y - Ay³/3, where x and y are coordinates in meters and A = 1 /m . s. (a) Solve for u and v, the x and y components of velocity, respectively. (b) Use the contour() function in Matlab to make a contour plot of for-3 m≤x≤ 3 m and 0 m≤ y ≤ 6 m. On top of the contour plot of the streamlines (use the "hold on" command to overlay the plots), use the quiver() function to add velocity vectors. For both functions, use the meshgrid()function to set values for x and y at which to evaluate u, u, and v. Use 100 and 20 locations in each direction for the contour lines and velocity vectors, respectively. HINT: you will need to use "element-wise" operations with your x and y vectors. For example, for use: psi = A*(x.^2.*y - y.^3/3). (c) Determine the magnitude of the flowrate per unit width between the streamlines passing through ( 0 m, y 3 m) and ( x = 0 m, y = 6 m). =

Problem 2. An incompressible, inviscid (or frictionless) flow field is specified by the stream function, Ax²y - Ay³/3, where x and y are coordinates in meters and A = 1 /m . s. (a) Solve for u and v, the x and y components of velocity, respectively. (b) Use the contour() function in Matlab to make a contour plot of for-3 m≤x≤ 3 m and 0 m≤ y ≤ 6 m. On top of the contour plot of the streamlines (use the "hold on" command to overlay the plots), use the quiver() function to add velocity vectors. For both functions, use the meshgrid()function to set values for x and y at which to evaluate u, u, and v. Use 100 and 20 locations in each direction for the contour lines and velocity vectors, respectively. HINT: you will need to use "element-wise" operations with your x and y vectors. For example, for use: psi = A*(x.^2.*y - y.^3/3). (c) Determine the magnitude of the flowrate per unit width between the streamlines passing through ( 0 m, y 3 m) and ( x = 0 m, y = 6 m). =

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Problem 2. An incompressible, inviscid (or frictionless) flow field is specified by the stream function, Ax²y - Ay³/3, where x and y are coordinates in meters and A = 1 /m . s. (a) Solve for u and v, the x and y components of velocity, respectively. (b) Use the contour() function in Matlab to make a contour plot of for-3 m≤x≤ 3 m and 0 m≤ y ≤ 6 m. On top of the contour plot of the streamlines (use the "hold on" command to overlay the plots), use the quiver() function to add velocity vectors. For both functions, use the meshgrid()function to set values for x and y at which to evaluate u, u, and v. Use 100 and 20 locations in each direction for the contour lines and velocity vectors, respectively. HINT: you will need to use "element-wise" operations with your x and y vectors. For example, for use: psi = A*(x.^2.*y - y.^3/3). (c) Determine the magnitude of the flowrate per unit width between the streamlines passing through ( 0 m, y 3 m) and ( x = 0 m, y = 6 m). =
Transcribed Image Text:Problem 2. An incompressible, inviscid (or frictionless) flow field is specified by the stream function, Ax²y - Ay³/3, where x and y are coordinates in meters and A = 1 /m . s. (a) Solve for u and v, the x and y components of velocity, respectively. (b) Use the contour() function in Matlab to make a contour plot of for-3 m≤x≤ 3 m and 0 m≤ y ≤ 6 m. On top of the contour plot of the streamlines (use the "hold on" command to overlay the plots), use the quiver() function to add velocity vectors. For both functions, use the meshgrid()function to set values for x and y at which to evaluate u, u, and v. Use 100 and 20 locations in each direction for the contour lines and velocity vectors, respectively. HINT: you will need to use "element-wise" operations with your x and y vectors. For example, for use: psi = A*(x.^2.*y - y.^3/3). (c) Determine the magnitude of the flowrate per unit width between the streamlines passing through ( 0 m, y 3 m) and ( x = 0 m, y = 6 m). =
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