Analysis of fluid flow in constricted tubes and ducts using body‐fitted non‐staggered grids

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Abstract
A finite volume method for the calculation of laminar and turbulent fluid flows inside constricted tubes and ducts is described. The selected finite volume method is based on curvilinear non‐orthogonal co‐ordinates (body‐fitted co‐ordinates) and a non‐staggered grid arrangement. The grids are either generated by transfinite interpolation or an elliptic grid generator. The method is employed for calculation of laminar flows through a tube, a converging‐diverging duct and different constricted tubes by both a two‐ and a three‐dimensional computer program. In addition, turbulent flow through an axisymmetric constricted tube is calculated. Both the power law scheme and the second‐order upwind scheme are used. The calculated results are compared with the experimental data and with other numerical solutions.