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.
Similarity solutions of an unsteady incompressible thermal MHD boundary layer flow by group theoretic approach
Abstract Group theoretic approach of classification of similarity solutions in natural convection of an unsteady incompressible MHD thermal boundary layer flow has been discussed. Two different cases have been considered. In the first case we assume the magnetic induction to be constant and in the second case the magnetic induction is a function of x and t . We have shown that similarity solutions are possible for both the cases. In the discussions, the magnetic Reynold's number is assumed to be very small.
The potential vorticity flux through the Yucatan Channel and the Loop Current in the Gulf of Mexico
Two‐year‐long time series of current and density structure measurements across the Yucatan Channel's main section allow the calculation of the time‐dependent potential vorticity flux between the Gulf of Mexico and the Caribbean Sea, which is characterized by alternating periods of positive (cyclonic) and negative (anti‐cyclonic) vorticity influx. Periods of negative cumulative vorticity influx are related to the Loop Current extending into the Gulf of Mexico, whereas periods of positive cumulative vorticity influx relate to a Loop Current retraction, sometimes coincident with the shedding of an anti‐cyclonic eddy.