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). =

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter5: Analysis Of Convection Heat Transfer

Section: Chapter Questions

Problem 5.13P: 5.13 The torque due to the frictional resistance of the oil film between a rotating shaft and its...

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