1. For incompressible flows, their velocity field 2. In the case of axisymmetric 2D incompressible flows, where is Stokes' stream function, and u = VxS, uz = S(r, z, t) = where {r, y, z} are the cylindrical coordinates in which the flow is independent on the coordinate and hence 1 d4 r dr 1 dy r dz Show that in spherical coordinates {R, 0, 0} with the same z axis, this result reads Y(R, 0, t) R sin UR S(R, 0,t) = = Y(r, z, t) r Ug = and Ur = 1 ay R² sin de 1 ӘҺ R sin 0 OR ∙eq, 9

1. For incompressible flows, their velocity field 2. In the case of axisymmetric 2D incompressible flows, where is Stokes' stream function, and u = VxS, uz = S(r, z, t) = where {r, y, z} are the cylindrical coordinates in which the flow is independent on the coordinate and hence 1 d4 r dr 1 dy r dz Show that in spherical coordinates {R, 0, 0} with the same z axis, this result reads Y(R, 0, t) R sin UR S(R, 0,t) = = Y(r, z, t) r Ug = and Ur = 1 ay R² sin de 1 ӘҺ R sin 0 OR ∙eq, 9

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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