Study of threedimensional internal flow problems related to turbomachinery flows
Abstract
The primary objective of this twoyear research project is to develop a finitedifference numerical technique for the solution of the parabolized NavierStokes equations using a system of surfaceoriented coordinates suitable for ducts of arbitrary geometry. An additional objective to be fulfilled by this research consists of developing an analysis for laminar duct flow with stream wise separation using mathematical models simpler than the full NavierStokes equations. In order to achieve the above objectives, the following three problems have been studied during the first year of the twoyear contract period: (1) Laminar Flow through Joukowski ducts, (2) Laminar flow through curved polar ducts, and (3) Analysis of laminar streamwise flow separation via a semielliptic mathematical model. In each phase of the research attention is given to the accuracy of the numerical solutions as well as the efficiency with which they can be determined. For this purpose, the following two additonal areas have been studied: (4) Higher accuracy of numerical solutions, and (5) Efficient numerical algorithms. Suitable model problems have been selected wherever required, in this research, with the overall goal of contributing to further the understanding of internal flows in turbomachinery. Each of the above research areas is described in this report.
 Publication:

Annual Report
 Pub Date:
 February 1979
 Bibcode:
 1979cinc.rept.....G
 Keywords:

 Finite Difference Theory;
 Gas Turbines;
 Laminar Flow;
 Three Dimensional Flow;
 Ducted Flow;
 Fluid Dynamics;
 Mathematical Models;
 NavierStokes Equation;
 Separated Flow;
 Fluid Mechanics and Heat Transfer