Between two fixed boundaries there is a two dimensional liquid motion due to a source of strength m at the point (r=a, 0 =0) and an equal sink at the point (r=b,0 =0). Show that the stream function is -m tan -1 r²(a²-b¹) /sin 40 r³-r¹ (a¹ + b¹) cos 40+ a¹b²

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02-10-2022
Mathematics

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Between two fixed boundaries there is a two dimensional liquid motion due to a source of strength m at the point (r=a, 0 =0) and an equal sink at the point (r=b,0 =0). Show that the stream function is -m tan -1 r²(a²-b¹) /sin 40 r³-r¹ (a¹ + b¹) cos 40+ a¹b²

Sagot :

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Between two fixed boundaries there is a two dimensional liquid motion due to a source of strength m at the point (r=a, 0 =0) and an equal sink at the point (r=b,0 =0). Show that the stream function is -m tan -1 r²(a²-b¹) /sin 40 r³-r¹ (a¹ + b¹) cos 40+ a¹b²​

Sagot :

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Between two fixed boundaries there is a two dimensional liquid motion due to a source of strength m at the point (r=a, 0 =0) and an equal sink at the point (r=b,0 =0). Show that the stream function is -m tan -1 r²(a²-b¹) /sin 40 r³-r¹ (a¹ + b¹) cos 40+ a¹b²