Working equations of the continuous penalty scheme in polar coordinate systems

8 Working equations of the continuous penalty scheme in polar coordinate systems 

After the substitution of pressure via the penalty relationship the flow equations in a polar coordinate system are written as 

Using a procedure similar to the derivation of Equation (4.53) the working equations of the continuous penalty scheme for steady-state Stokes flow in a polar (r, 9) coordinate system are obtained as 

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