Consider the incompressible, irrotational, 2D flow, where the stream function is given by: 4 = 424 Determine the velocity field.
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Q: Consider the incompressible, irrotational, 2D flow, where the stream function is given by: 4 = 424…
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Given, stream function
velocity field = ?
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- Full solution for the whole qn please :) Some ans: b) sq rt 5 gLProblem 9.15 Use Gauss's law to determine the field inside and outside of (a) a sphere of uniform mass density, (b) a homogeneous hollow spherical shell. Let the mass and radius be M and R in both cases.Consider the special shape pictured in the diagram below. It is a cylinder, centered on the origin with its axis oriented along z, and it has been partially hollowed to leave two cone-shaped cavities at the top and bottom of the cylinder. The radius of the object is a, its height is 2a, and the solid part of the object (the shaded region that is visible in the rightmost panel of the illustration above, which shows a drawing of the cross-section of the object) has a uniform volume charge density of po. Assume that the object is spinning counter clockwise about its cylinder axis at an angular frequency of w. Which of the following operations is part of the calculation of the magnitude of the current density that is associated with the motion of the rotating object as a function of r (select all that apply)?
- Charge is distributed uniformly with a density ρ throughout an infinitely long cylindrical volume ofradius R. Show that the field of this charge distribution is directed radially with respect to the cylinder.Sketch how water curls down a sink, say, in clock-wise rotation. Draw the resulting vector of the curl-operator applied on this water flow.Give an example to show that a factor ring of an integral domain may be a field.