摘要:

AbstractA relatively novel formulation of the Navier‐Stokes equations is used for obtaining solutions of two 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 coupled solution procedure is used for solving simultaneously the dependent variables along a line, using a block tridiagonal matrix algorithm. The formulation is found to be stable and has features that may be desirable for solving a wide variety of flow and heat transfer problem

ISSN:0271-2091    

DOI:10.1002/fld.1650051202

出版商:John Wiley&Sons, Ltd    

年代:1985

数据来源: WILEY

摘要:

AbstractAn inverse method is presented which accurately determines the pressure distribution for assigned wall shear in a two‐dimensional, laminar, incompressible boundary layer. The method reformulates the mechul function scheme of Cebeci and Keller to produce a stable solution in the marching direction and to increase accuracy in the normal direction. In the reformulation a modified pressure gradient parameter variation in the normal direction is used in conjunction with three‐point backward differences for streamwise derivatives and fourth‐order accurate splines for normal derivatives. The resulting spline‐finite difference equations are solved by Newton‐Raphson iteration together with partial pivoting. Numerical solutions are presented for self‐similar and non self‐similar flows and compared with publ

ISSN:0271-2091    

DOI:10.1002/fld.1650051203

出版商:John Wiley&Sons, Ltd    

年代:1985

数据来源: WILEY

摘要:

AbstractThe classical potential formulation of inviscid transonic flows is modified to account for non‐isentropic effects. The density is determined in terms of the speed as well as the pressure, which in turn is calculated from a second‐order mixed‐type equation derived via differentiating the momentum equations.The present model differs in general from the exact inviscid Euler equations since the flow is assumed irrotational. On the other hand, since the shocks are not isentropic, they are weaker and are placed further upstream compared to the classical potential solution. Furthermore, the streamline leaving the aerofoil does not necessarily bisect the trailing edge.Results for the present conservative calculations are presented for non‐lifting and lifting aerofoils at subsonic and transonic speeds and compared to potential and Euler so

ISSN:0271-2091    

DOI:10.1002/fld.1650051204

出版商:John Wiley&Sons, Ltd    

年代:1985

数据来源: WILEY

ISSN:0271-2091    

DOI:10.1002/fld.1650051205

出版商:John Wiley&Sons, Ltd    

年代:1985

数据来源: WILEY

ISSN:0271-2091    

DOI:10.1002/fld.1650051206

出版商:John Wiley&Sons, Ltd    

年代:1985

数据来源: WILEY

ISSN:0271-2091    

DOI:10.1002/fld.1650051201

出版商:John Wiley&Sons, Ltd    

年代:1985

数据来源: WILEY