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finding radial velocity using continuity equation

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Old   October 13, 2017, 08:37
Default finding radial velocity using continuity equation
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I want to calculate radial velocity from axial velocity using continuity equation

w(scalar) is known (axial velocity). I want to calculate radial velocity v(scalar) assuming azimuthal component is zero. (Theta is the angle of the line connecting cell center to the origin in the xy plane). So from continuity equation I obtain

\frac{\partial v(cos \Theta) }{\partial x} + \frac{\partial v(sin  \Theta)}{\partial y} = - \frac{\partial w }{\partial z}

It seems the process involves solving a set of linear equations.

fvScalarMatrix vEqn

solve(vEqn == __________)
Can someone help me
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