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EN
This paper addresses the combined effects of the magnetic field, thermal buoyancy force, viscous dissipation, Joule heating and temperature-dependent viscosity on the Couette flow of an incompressible conducting fluid between two concentric vertical pipes. It is assumed that convective cooling occurs at the surface of the outer moving pipe while the surface of the inner fixed pipe is maintained at a constant temperature. The nonlinear equations for momentum and energy are obtained and solved numerically using a shooting method coupled with the Runge-Kutta-Fehlberg integration procedure. Relevant results depicting the effects of embedded thermophysical parameters on the velocity and temperature profiles, skin friction, the Nusselt number, entropy generation rate and the Bejan number are presented graphically and discussed. It is found that an increase in the magnetic field intensity boosts the entropy generation rate while an increase in convective cooling lessens it.
EN
The presence of more than one solute diffused in fluid mixtures is very often requested for discussing the natural phenomena such as transportation of contaminants, underground water, acid rain and so on. In the paper, the effect of nonlinear thermal radiation on triple diffusive convective boundary layer flow of Casson nanofluid along a horizontal plate is theoretically investigated. Similarity transformations are utilized to reduce the governing partial differential equations into a set of nonlinear ordinary differential equations. The reduced equations are numerically solved using Runge-Kutta-Fehlberg fourth-fifth order method along with shooting technique. The impact of several existing physical parameters on velocity, temperature, solutal and nanofluid concentration profiles are analyzed through graphs and tables in detail. It is found that, modified Dufour parameter and Dufour solutal Lewis number enhances the temperature and solutal concentration profiles respectively.
PL
Poprawka wynikająca z występowania siły wyporu może być dość znaczna. To, czy tę poprawkę należy stosować, zależy od wymagań co do dokładności, jakie powinna spełniać analiza wagowa. Konieczna jest zatem indywidualna ocena błędów związanych z procesem wagowym.
PL
Poprawka wynikająca z występowania siły wyporu może być dość znaczna. To, czy tę poprawkę należy stosować, zależy od wymagań co do dokładności, jakie powinna spełniać analiza wagowa. Konieczna jest zatem indywidualna ocena błędów związanych z procesem wagowym.
5
Content available remote MHD fully developed mixed convection between two long vertical parallel plates
EN
The effect of a transversely applied magnetic field on an MHD fully developed mixed convection between two long vertical parallel plates is studied. Velocity, pressure gradient and bulk-temperature profiles are shown graphically and the effects of different parameters like M (Hartmann number), (buoyancy parameter), (wall temperature difference ratio) on the flow are discussed.
6
Content available remote MHD fully developed mixed convection flow with asymmetric heating of the wall
EN
Magnetohydrodynamic fully developed mixed convection flow of a viscous incompressible electrically conducting fluid confined to a vertical channel with asymmetric heating of the wall, is studied. It has been shown that a reversed flow occurs due to asymmetric heating of the wall when the magnitude of the buoyancy parameter Gr exceeds a certain threshold value. The limiting cases of the MHD free and forced convection flow are analysed. A qualitative discussion for the occurrence of a flow reversal is given in this paper. It is interesting to note that in the higher buoyancy the bulk temperature of the MHD flow exceeds the value 1 when rT < 1.
EN
An analysis is performed to study the effect of the buoyancy force on the flow and heat transfer characteristics in a viscous fluid over a heated vertical continuously moving surface with a parallel free stream. The buoyancy force varies with the streamwise distance ... and hence introduces nonsimilarity in the flow field. Both the constant wall temperature and constant heat flux conditions are included in the analysis. The partial differential equations governing the flow are solved numerically. Closed form solutions are obtained when the wall and free stream velocities are equal and there is no buoyancy force. Also the correlation equations for the local Nusselt number are developed. It is found that for opposing flow or for an upstream moving wall, the solution does not exist beyond a certain value of the buoyancy parameter or the ratio of wall and free stream velocities.
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