Vellore Institute of Technology (VIT) is a private university located in&nbsp;Tamil Nadu, India. Founded in 1984, as Vellore Engineering College, the institution offers 20 undergraduate, 34 postgraduate, four integrated and four research programs. It has campuses in Vellore, Amravati, Bhopal and Chennai.

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VIT University

We obtain an expression for the total northward mass transport in a porous bed of large extant subject to a stress applied at the top free surface using Beta plane approximation. It is found that beta effect is found to be responsible for western intensification of ocean currents. The total northward transport of fluid (See Sverdrup [11]) is found to be closed through the western boundary layer (See: Stommel [4]) in the presence of porous medium.

Department of Mathematics

School of Advanced Sciences

Vellore Campus

International Journal of Innovative Technology and Exploring Engineering (IJITEE)

Northward Transport in a Stress Driven Flow Confined to a Porous Medium (Sverdrup Relation in a Porous Medium)

The present investigation deals with the nanofluid flow between expanding or contracting permeable walls with slip effects. In this work, bloodis considered as a Newtonian fluid and glod (Au) / copper (Cu) as nanoparticles. Thermal conductivity and specific heat for the both base fluid and nanoparticles are obtained using the Brinkmann and Maxwell Garnett models. The lower and upper walls of the channel are maintained at equal permeabilities. System of nonlinear ordinary differential equations is derived from the governing flow equations and is solved with the aid of homotopy analysis method. The obtained analytical solutions are in good accordance with the numerical solutions found through the shooting method along with Runge-Kutta method. The influence of nanoparticle volume fraction, wall expansion ratio and slip parameters on the various flow variables have been discussed in detail. © 2019 Elsevier Ltd. All rights reserved. Selection and/or Peer-review under responsibility of International Conference on Nanoscience and Nanotechnology (ICNAN'16)

Department of Smart Computing

School of Information Technology and Engineering

Materials Today: Proceedings

Blood-gold/coppernanofluid flow between expanding or contracting permeable walls with slip effects

The problem of unsteady unidirectional hydromagnetic flow due to stress applied at the free surface is studied here. The applied magnetic field is normal to the horizontal boundary. The dynamics of fluid and electric currents are investigated as functions of magnetic Prandtl number Pm , which measures the ratio of viscous diffusion to magnetic diffusion. In contrast to hydrodynamic Rayleigh problem, the transient dynamics consists of two diffusively growing layers as in the conventional MHD Rayleigh problem (see Dix [5]). The viscous Hartmann layer becomes steady soon, while the magnetic diffusion layer diffuses to infinity with Alfven speed. The electric currents generated in the Hartmann layer find a return path in the magnetic diffusion layer. It may also be seen that the free surface Hartmann layer is weak compared to rigid surface Hartmann layer.

Fulltext

International Journal of Pure and Applied Mathematics

A NOTE ON UNSTEADY HYDROMAGNETIC FLOW DUE TO TANGENTIAL STRESS AT THE HORIZONTAL FREE SURFACE

Vertical free shear layers, which arise due to an azimuthal stress at the free surface of a linear, steady, axisymmetric, rotating fluid bounded below by a rigid surface, are analyzed using a combination of Fourier transform and boundary layer techniques. It is found that the interior az- imuthal velocity is equal to the applied stress itself and the vertical mass flux pumped by the bottom Ekman layer enters directly into the free surface Ek- man layer at the top. The vertical free shear layers are the usual Stewartson boundary layers namely, the E^(⅓) and E^(¼) layers, which arise to provide a re- turn path for the Ekman mass flux and adjust the azimuthal velocity to its suitable value at the vertical boundary /discontinuity. However, In contrast to top rigid surface case, the Ekman mass flux cannot enter directly into the E^(¼) layer at the top free surface.