The objective of the present study is to investigate the heat and mass transfer characteristics of the MHD stagnation-point flow of gyrotactic microorganisms contained nanofluid past a nonlinear stretching/shrinking sheet in presence of space and temperature dependent internal heat generation/absorption with suction/injection. The governing partial differential equations are transformed to system of ordinary differential equations by using similarity transformation and then solved numerically using Runge-Kutta based shooting technique. The influence of non-dimensional governing parameters on velocity, temperature, nanoparticle volume fraction and density of the motile microorganisms along with friction factor, local Nusselt number, local Sherwood number and the local density of the motile microorganisms was discussed and presented through graphs and tables. Dual solutions are presented for certain range of suction and injection parameters. The validity of the present results compared with the existed results.

Satish Kumar G

Department of Chemistry

School of Advanced Sciences

Vellore Campus

Rushi Kumar B

Department of Mathematics

Sandeep N

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.

VIT is one of the top ranked private universities in India according to NIRF, THE and QS Rankings.&nbsp;Govt. of India has recognized&nbsp;VIT, Vellore as an&nbsp;Institution of Eminence. This has allowed VIT to take independent quality initiatives and move up in world ranking.

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VIT University

International Journal of Engineering Research in Africa

Fulltext

Alexandria Engineering Journal

Thermophoresis and Brownian motion effects on unsteady MHD nanofluid flow over a slendering stretching surface with slip effects

This study is dedicated to figure out the flow, thermal and concentration boundary layer nature of Casson and Carreau fluids over an exponential stretching surface with zero normal flux of nanoparticles having magnetic behavior. Moreover, consideration of nanoparticles which are passively control at the surface is physically more realistic condition (Buongiorno model). Adequate similarity transforms are invoked to put the flow governing equations in dimensionless form. Then after, the transformed equations are solved by means of an effective Runge-Kutta based shooting method. The influence of the selected flow managing parameters on the usual profiles viz. velocity, thermal and concentration are inspected comprehensively with the aid of plots. Numerical treatment for friction factor and reduced Nusselt number is presented in tabular form. It is noticed that Carreau fluid is highly affected by the Lorentz force when equated with the Casson fluid. © 2017 Faculty of Engineering, Alexandria University

A comparative analysis of magnetohydrodynamic non-Newtonian fluids flow over an exponential stretched sheet

Dual Solutions for Heat and Mass Transfer in MHD Bio-Convective Flow over a Stretching/Shrinking Surface with Suction/Injection

In this paper, we investigated the effects of hall current and thermal diffusion on an unsteady flow of a nanofluid in the presence of inclined magnetic field and volume fraction of nanoparticles. We considered copper nanoparticles with base fluid as water and presented dual solutions for water and Cu-water cases. An analytical solution of the problem was performed using perturbation technique. The effects of various non-dimensional governing parameters on velocity, temperature and concentration fields along with the friction factor, local Nusselt and Sherwood numbers are discussed and presented through graphs and tables. To validate the results of the present study we compared the present results with the existed results and found an excellent agreement. Moreover, through this study we observed that an increase in the Hall current parameter increases the velocity profiles and depreciates the friction factor. It is also observed that an increase in Soret number causes to enhance the velocity and concentration boundary layer thicknesses.

Thermo Diffusion and Hall Current Effects on an Unsteady Flow of a Nanofluid under the Influence of Inclined Magnetic Field

A mathematical model has been proposed for analyzing the momentum, heat and mass transfer in Bio-convection flow towards a rotating cone/plate in a rotating fluid with nonlinear thermal radiation and chemical reaction. In this study we considered gyrotactic microorganism’s contained Williamson fluid. Numerical results are carried out by using Runge-Kutta based shooting technique. The effects of dimensionless governing parameters on the flow, heat and mass transfer are illustrated graphically. It is also computed the friction factors for the tangential and azimuthal directions, local Nusselt and Sherwood numbers along with the local density of the motile organisms. It has been observed a good agreement of the present results with the existed literature. The obtained results indicate that the heat and mass transfer rate is significantly increases for higher values of buoyancy parameter and Biot number. It is also found that the heat and mass transfer performance in Bio-convection flow is significantly high on the flow over a rotating plate while compared with the rotating cone.

Dual Solutions for Unsteady Heat and Mass Transfer in Bio-Convection Flow towards a Rotating Cone/Plate in a Rotating Fluid

We analyse the effects of aligned magnetic field, radiation, and rotation on unsteady hydromagnetic free convection flow of a viscous incompressible electrically conducting fluid past an impulsively moving vertical plate in a porous medium in presence of heat source. An exact solution of the governing equations in dimensionless form is obtained by Laplace transform technique in ramped temperature case. To compare the results obtained in this case with that of isothermal plate, the exact solution of the governing equations is also obtained for isothermal plate and results are discussed graphically in both ramped temperature and isothermal cases.

International Journal of Engineering Mathematics

Aligned Magnetic Field, Radiation, and Rotation Effects on Unsteady Hydromagnetic Free Convection Flow Past an Impulsively Moving Vertical Plate in a Porous Medium

A study has been carried out to analyze the double dispersion effects on unsteady, free convective, chemically reacting, MHD viscoelastic fluid (Walters liquid-B model) flow over a vertical cone and a flat plate saturated with non-Darcy porous medium in the presence of Soret and Dufour effects. The constitutive equations for the boundary layer regime are solved by an efficient finite difference scheme of the Crank-Nicolson type. The features of the fluid heat and mass transfer characteristics are analyzed by plotting graphs and the physical aspects are discussed in detail to interpret the effect of significant parameters of the problem. The overall heat and mass transfer profiles are enhanced for increasing the thermal and solutal dispersion effects, respectively. The results indicate that the Soret and Dufour effects have considerable effect on the viscoelastic fluid flow through non-Darcy porous medium. © 2012 Elsevier Ltd.

Journal	International Journal of Engineering Research in Africa
Publisher	Trans Tech Publications, Ltd.
ISSN	16633571
Open Access	0