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The steady partially-parabolized Navier-Stokes equations , including the energy equation, are used to analyze steady, incompressible , twodimensional, laminar flows in symmetric and asymmetric sudden expansions. The equations are solved using primitive variables . The solution procedure involves determining velocities from the momentum equations by iteratively space marching in the main stream direction. The velocities are then corrected to satisfy continuity by assuming the corrections to be locally irrotational. After a complete sweep through the computation domain is made, the pressure field is updated by solving a Poisson equation which is obtained from the momentum equations. The energy equation is solved after a convergent solution for velocities is obtained. Type-dependent differencing is used to enable space marching even in separated regions. Solutions were obtained for developing and fully-developed flows in sudden expansion channels of different expansion ratios . Predicted velocity and temperature distributions, reattachment lengths, skinfriction coefficients, and Nusselt numbers are presented. For the heat transfer study, results were obtained using both the elliptic and the boundary-layer forms of the energy equation. Comparisons with experimental data and the numerical solutions reported by other researchers show that the present solution procedure performs reasonably well in the testcases studied .

Prediction of laminar flows over a rearward-facing step using the partially-parabolized Navier-Stokes equations