Multiple laminar flows through curved pipes
Abstract
The Dean problem of steady viscous flow through a coiled circular pipe is studied numerically for a large range of Dean number and for several coiling ratios. It was found that the solution family, as parameterized by Dean number, has numerous folds or limit points. Four folds and hence five branches of solutions are found. It is speculated that infinitely many solutions can exist in this family for some fixed value(s) of D. More resolution and higher accuracy would be required to justify this conjecture and to find the rule of formation of new solution branches.
 Publication:

Advances in Numerical and Applied Mathematics
 Pub Date:
 March 1986
 Bibcode:
 1986anam.nasa..196Y
 Keywords:

 Boundary Value Problems;
 Computational Fluid Dynamics;
 Laminar Flow;
 NavierStokes Equation;
 Pipes (Tubes);
 Problem Solving;
 Viscous Flow;
 Computational Grids;
 Curvature;
 Finite Difference Theory;
 Fourier Series;
 Laplace Transformation;
 Matrices (Mathematics);
 Fluid Mechanics and Heat Transfer