Magnetic and Thermal Diffusion Effects on a Three-Dimensional Free Convective Flow Past a Uniformly Moving Porous Vertical Plate
The problem of a three dimensional free convection flow with mass transfer of an incompressible viscous electrically conducting fluid past a uniformly moving porous vertical plate with transverse sinusoidal suction velocity is considered. A magnetic field of uniform strength is assumed to be applied normal to the plate. The expressions for skin-friction at the plate in the direction of flow, rate of heat transfer in terms of Nusselt number, rate of mass transfer in terms of Sherwood number, velocity field, temperature field and species concentration field are obtained in non-dimensional forms. The effects of Hartmann number, Schmidt number, Soret number, Reynolds number on the skin friction, Nusselt number, Sherwood number, velocity field, temperature field and concentration field are discussed graphically and the results are physically interpreted.
An introduction to magneto-fluid mechanics
ing journals. At the head of each abstract is the name of the author and the title of the paper, although not its date or origin, and also a pair of numbers. The reader is able to find by trial that one of these numbers is the serial number of the same paper as entered in the bibliographical list, the other being a new serial number for the paper in the sequence of abstracts. At the end of the volume are three lists. The first, a short one, is of numbers entitled ‘List of the entries included in bibliography no. 1’; bibliography no. 1 is apparently what this bibliography used to be when it was issued informally by AGARD in February 1960. The second is an index to authors, which presumably serves to identify the number of a paper written by a known author who is one of several joint authors and not the first named, the latter alone being used in the bibliographical list. The last is a subject-index, in which there are seven main divisions, like ‘magnetohydrodynamics ’ and ‘magneto-gas-dynamics ),with afew sub-divisions for each. The value of the subject index will be limited by the fact that the subheading ‘ General’ swallows up about half the entries in four of the main divisions. It is obviously useful to prepare and disseminate an up-to-date and ordered list of papers on this important subject, and the initiative and work contributed by AGARD have been widely appreciated. But why print a second time, publish, and sell at a substantial price, a bibliography which pays little attention to the ordinary principles of fact-gathering and indexing? As well as being rather wasteful, the book does not maintain accepted standards in scientific publications. G. K. BATCHELOR
Dufour and Soret Effects on Steadv MHD Combined Free-Forced Convective and Mass Transfer Flow Past a Semi-Infinite Vertical Plate
In this paper the Dufour (diffusion-thermo) and Soret (thermal-diffusion) effects on combined free-forced convective and mass transfer flow past a semi-infinite vertical flat plate, under the influence of transversely applied magnetic field, have been studied numerically. The non-linear partial differential equations, goveming the problem under consideration, have been transformed by a similarity transformation into a system of ordinary differential equations which is solved numerically by applying the Nachtsheim-Swigert shooting iteration technique together with sixth order RungeKutta integration scheme. For hydrogen-air mixture as a non-chemical reacting fluid pair, profiles of the dimensionless velocity, temperature and concentration distributions are shown graphically for various values of the parameters entering into the problem. The present solutions are compared with Kafoussias [20] and found to be in excellent agreement. Finally, the corresponding local skin-friction coefhcient. local Nusselt number and local Sherwood number are also shown in tabular form.