摘要:

AbstractThe Navier‐Stokes equations for a steady, viscous rotating fluid, rotating about thez‐axis with angular velocity ω are linearized using the Stokes approximation. The linearized Navier‐Stokes equations governing the axisymmetric flow can be written as three coupled partial differential equations for the stream function, vorticity and rotational velocity components. One parameter,Reω= 2ωa2/v, enters the resulting equations. ForReω« 1, the coupled equations are solved by the Peaceman‐Rachford A.D.I. (Alternating Direction Implicit) method and the resulting algebraic equations are solved by the ‘method of sweeps’. Stream lines for ψ = 0·05, 0·2, 0·5 and magnitude of the vorticity vectorz= 0·2 are plotted forReω= 0·1, 0·3, 0·5. Correction to the Stokes drag due to the rotati

ISSN:0271-2091    

DOI:10.1002/fld.1650070402

出版商:John Wiley&Sons, Ltd    

年代:1987

数据来源: WILEY

摘要:

AbstractThis paper presents a numerical solution of the transport equation for heat and species in complex three‐dimensional spaces. The solution domain of the equation is transformed into a cube, as also is the governing equation; the resultant equation is solved in the transformed space via a finite difference technique. The validity of the developed computer code is tested by predicting test cases for which either analytical or reliable experimental results exist. Results are also presented for the rate of convergence of the method and the computer storage requirements, from which the validity, the flexibility and the economy of the developed method are proved for flows in real three‐dimensional complex terra

ISSN:0271-2091    

DOI:10.1002/fld.1650070403

出版商:John Wiley&Sons, Ltd    

年代:1987

数据来源: WILEY

摘要:

AbstractA system of reaction–diffusion equations which governs the propagation of an ozone decomposition laminar flame in Lagrangian co‐ordinates is analysed by means of compact operators and modified equation methods. It is shown that the use of fourth‐order accurate compact operators yields very accurate solutions if sufficient numbers of grid points are located at the flame front, where very steep gradients of temperature and species concentrations exist. Modified equation methods are shown to impose a restriction on the time step under certain conditions. The solutions obtained by means of compact operators and modified equation methods are compared with solutions obtained by other methods; good agreement is obt

ISSN:0271-2091    

DOI:10.1002/fld.1650070404

出版商:John Wiley&Sons, Ltd    

年代:1987

数据来源: WILEY

摘要:

AbstractTwo‐dimensional fluid flow problems expressed in terms of velocity potentials or stream functions are often summarized as boundary‐value problems for the Laplace or Poisson equations, or the homogeneous or non‐homogeneous biharmonic equations. Simple local co‐ordinate systems have been applied to the solution of integral equations associated with these boundary‐value problems. This procedure has been shown to be an efficient technique in the numerical solution of fluid flow

ISSN:0271-2091    

DOI:10.1002/fld.1650070405

出版商:John Wiley&Sons, Ltd    

年代:1987

数据来源: WILEY

摘要:

AbstractA consistent, accurate and reasonably simple method of obtaining derived quantities when the conventional Galerkin finite element method (GFEM) is used to obtain the primary quantities is defined and demonstrated, both theoretically and numerically.

ISSN:0271-2091    

DOI:10.1002/fld.1650070406

出版商:John Wiley&Sons, Ltd    

年代:1987

数据来源: WILEY

摘要:

AbstractThis paper investigates the application of the centre implicit method for the determination of the pressure transient in a pipeline, and compares the results with those obtained using the method of characteristics and an experimental investigation. The study shows that there are unique values for the stability criterion (ratio of the linear and time increments) and the artificial viscosity term (a damping factor) used in the numerical computation. The time step and the number of nodes required for the accuracy of the method have been considered. The centre implicit method can be readily adapted to transient flow with variable wave speed provided the established conditions are used.

ISSN:0271-2091    

DOI:10.1002/fld.1650070407

出版商:John Wiley&Sons, Ltd    

年代:1987

数据来源: WILEY

ISSN:0271-2091    

DOI:10.1002/fld.1650070408

出版商:John Wiley&Sons, Ltd    

年代:1987

数据来源: WILEY

ISSN:0271-2091    

DOI:10.1002/fld.1650070409

出版商:John Wiley&Sons, Ltd    

年代:1987

数据来源: WILEY

ISSN:0271-2091    

DOI:10.1002/fld.1650070401

出版商:John Wiley&Sons, Ltd    

年代:1987

数据来源: WILEY