Journal article
Predictions of fluid flow and heat transfer problems by the vorticity-velocity formulation of the Navier-Stokes equations
Journal of computational physics, v 65(1)
1986
Abstract
A relatively novel formulation of the Navier-Stokes equations is evaluated for obtaining solutions of 2-dimensional incompressible fluid flow and convective heat transfer problems. A vorticity transport equation along with two Poisson equations for the velocity components and the energy equation are solved by a finite difference scheme. A direct solution procedure is used for solving simultaneously the dependent variables along a grid line, using a block tridiagonal matrix algorithm. As test problems, laminar flow motion and heat transfer in a square cavity and in a horizontal concentric annulus induced by various strength of buoyancy and external shear forces are investigated. The formulation is found to be stable for high Reynolds and Grashof numbers and has features that may be desirable for solving a wide variety of flow and heat transfer problems.
Metrics
Details
- Title
- Predictions of fluid flow and heat transfer problems by the vorticity-velocity formulation of the Navier-Stokes equations
- Creators
- Toru Fusegi - Drexel UniversityBakhtier Farouk - Drexel University
- Publication Details
- Journal of computational physics, v 65(1)
- Publisher
- Elsevier
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mechanical Engineering and Mechanics
- Web of Science ID
- WOS:A1986D281000013
- Scopus ID
- 2-s2.0-38249040727
- Other Identifier
- 991019174229504721
InCites Highlights
Data related to this publication, from InCites Benchmarking & Analytics tool:
- Web of Science research areas
- Computer Science, Interdisciplinary Applications
- Physics, Mathematical