EQUATIONS OF LAMINAR AND TURBULENT FLOWS IN GENERAL CURVILINEAR COORDINATES.

abstract

• Recent developments in computational fluid mechanics and grid generation have made it possible to consider complex three-dimensional laminar and turbulent flows using nonorthogonal coordinates. However, the necessary equations in generalized nonorthogonal coordinates are not readily available in a single reference. The purpose of this report is to present these equations for an incompressible fluid. Methods of curvilinear tensor analysis are used to develop the most commonly used equations. Their relationship with the more familiar equations in orthogonal coordinates is shown. Finally, the practical problems of evaluating the many geometric coefficients which appear in these equations are examined by considering numerically-generated coordinates for flow around three-dimensional bodies.

authors

• Chen, Hamn-Ching

published proceedings

• IIHR Report (Iowa Institute of Hydraulic Research)

author list (cited authors)

• Richmond, M. C., Chen, H. C., & Patel, V. C.

complete list of authors

• Richmond, MC||Chen, HC||Patel, VC

publication date

• February 1986

published in

• IIHR Report (Iowa Institute of Hydraulic Research)  Journal