Laminar flow and heat transfer in powerlaw fluids flowing in arbitrary crosssectional ducts
Abstract
A numerical method capable of handling threedimensional transport processes is devised to model the developing steady laminar flow and heat transfer to powerlaw fluids flowing in ducts of arbitrary but uniform cross section. The governing equations are the general momentum and energy equations parabolized in the axial direction and as such are applicable to flow systems with a predominant flow direction. An orthogonal bodyfitted coordinate system is employed to handle complex crosssectional geometries. The transformed equations are discretized in a finitedifference form, and the resulting algebraic equations are solved by line successive overrelaxation (SOR). For the purpose of testing the algorithms and the computer code, solutions are computed for the wellknown case of a Newtonian fluid in a square duct. Excellent agreement with available numerical and experimental results is obtained. The versatility of the code is demonstrated by presentation of flow and heat transfer results for powerlaw fluids flowing in pentagonal and trapezoidal ducts.
 Publication:

Numerical Heat Transfer
 Pub Date:
 1985
 Bibcode:
 1985NumHT...8..217L
 Keywords:

 Computational Fluid Dynamics;
 Duct Geometry;
 Ducted Flow;
 Heat Transfer;
 Laminar Flow;
 Newtonian Fluids;
 Cartesian Coordinates;
 Conservation Equations;
 Finite Difference Theory;
 Momentum Transfer;
 Neumann Problem;
 Pressure Distribution;
 Secondary Flow;
 Steady Flow;
 Three Dimensional Flow;
 Fluid Mechanics and Heat Transfer