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In the case of compressible flow, due to the gravitational field, the source term added in the momentum equation (which is gravitational potential) is $Gm/r$ in the case of cylindrical geometry and $Gm/r^2$ in the case of spherical geometry. So my question is how does it come in the case of cylindrical geometry? What would be Poisson's equation for cylindrical geometry?

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  • $\begingroup$ You have a spherical attractive object inside a cylinder? $\endgroup$ – Chet Miller Jul 6 at 12:22
  • $\begingroup$ Related question by OP: physics.stackexchange.com/q/489865/2451 $\endgroup$ – Qmechanic Jul 6 at 14:20
  • $\begingroup$ No. The fluid flow is taking inside a cylinder which is axisymmetric. $\endgroup$ – Sumeeta Jul 16 at 6:22

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