Investigation of threedimensional viscous flow in ducts with arbitrarily varying crosssections using surfaceoriented coordinate system
Abstract
The laminar flow in ducts of arbitrarily varying rectangular or polar cross sections were analyzed for an incompressible viscous fluid. The geometry is represented in terms of surfaceoriented coordinates determined by a numerical transformation. Accordingly, these coordinates are obtained as solutions of Poisson equations in the physical domain, with Dirichlet boundary conditions. Even the coordinatetransformation equations are solved in the transformed domain so as to allow the use of a uniform computational grid. For this purpose, the role of the dependent and the independent variables is interchanged and the invertedtransformation equations are then solved using an alternatingdirection implicit (ADI) numerical method. The coordinates so generated are not necessarily orthogonal. Only radially invariant geometries were considered.
 Publication:

Ph.D. Thesis
 Pub Date:
 1978
 Bibcode:
 1978PhDT.......144S
 Keywords:

 Ducted Flow;
 Flow Characteristics;
 Three Dimensional Flow;
 Viscous Flow;
 Analysis (Mathematics);
 Cartesian Coordinates;
 Flow Geometry;
 Mathematical Models;
 Fluid Mechanics and Heat Transfer