Mathematical and computational formulation of a hydrodynamic problem in modified toroidal coordinates with gravity as body force

The objective of this project was the study of the effects of gravity and curvature on the velocity profiles and pressure gradient for three different fluids flowing through a bend. The bend was of 90 having square cross-section (1 cm/sup */ 1cm). The flow at inlet was assumed uniform. The three fluids under analysis were Sodium, Lithium and Water. For this purpose Navier Stoke's equations that model the flow were discretized using power law scheme. A computer code SIMPMHD as transformed to solve the problem. Flow was considered laminar and results that is velocity and pressure gradient profiles obtained were compared with the theoretical. The results obtained differ from the theoretical results due to turbulence, which was not considered in the present study. The pressure drop calculated through the bend was compared with the pressure drop through same length of horizontal pipe. For laminar case the results were found satisfactory. (author)