Dileep Singh Chauhan

SLIP FLOW AND HEAT TRANSFER OF A SECOND-GRADE FLUID IN A POROUS MEDIUM OVER A STRETCHING SHEET WITH POWER-LAW SURFACE TEMPERATURE OR HEAT FLUX

This article deals with the study of boundary layer flow of a second-grade fluid in a porous medium past a stretching sheet and heat transfer characteristics with power-law surface temperature or heat flux. The flow in the boundary layer is considered to be generated solely by the linear stretching of the boundary sheet adjacent to a porous medium, and boundary wall slip condition is assumed. In the energy equation effects of viscous dissipation, work done due to deformation and internal heat generation/absorption is taken into account. Closed form solutions are obtained for this problem.

EFFECTS OF HALL CURRENT ON MHD FLOW IN A ROTATING CHANNEL PARTIALLY FILLED WITH A POROUS MEDIUM

In a rotating system, magnetohydrodynamic fully developed flow in a parallel-plate channel partially filled with a fluid-saturated porous medium and partially with a clear fluid is considered in the presence of an inclined magnetic field. Hall effects are taken into account and exact solutions of the governing MHD differential equations are obtained in a closed form. The effects of pertinent parameters such as the Hall current parameter (m), rotation parameter (R), permeability parameter (k), viscosities ratio (φ), and the angle of inclination ′θ′ of applied magnetic field on the velocity profiles and induced magnetic field are depicted graphically and discussed.

Magnetohydrodynamic Slip Flow and Heat Transfer in a Porous Medium over a Stretching Cylinder: Homotopy Analysis Method

This study considers magnetohydrodynamic flow and heat transfer outside a hollow stretching cylinder immersed in a fluid saturated porous medium of sparse distribution of particles with high permeability. Partial slip boundary conditions for the velocity and temperature fields are assumed at the stretching surface of the cylinder. Using similarity transformations, the nonlinear partial differential equations governing the flow and heat transfer are converted into nonlinear ordinary differential equations which are then solved by the homotopy analysis method. The effects of the pertinent parameters on the velocity and temperature profiles are investigated and discussed graphically.

Heat transfer in Couette flow of a compressible Newtonian fluid in the presence of a naturally permeable boundary

Couette flow of a viscous, compressible Newtonian fluid in a channel, bounded by a moving impermeable wall and a stationary naturally permeable bed, is investigated. The effect of the permeability on the velocity and temperature field is discussed, taking viscous heating into consideration.

MHD Flow and Heat Transfer in a Channel Bounded by a Shrinking Sheet and a Porous Medium Bed: Homotopy Analysis Method

MHD flow of viscous conducting fluid is considered between a shrinking sheet and a porous medium bed. Suction is applied at the upper shrinking sheet and its surface temperature is always maintained higher than the temperature of the lower porous bed surface. Similarity transformations and HAM are used to solve the governing equations for velocity and temperature fields. The effects of various pertinent parameters on the results are discussed graphically.