Magnetohydrodynamic Radiative Casson Fluid Flow over a Stretching Sheet with Heat Source/Sink

The influence of heat source/sink and thermal radiation on steady magnetohydrodynamic flow of a Casson fluid past a permeable stretching sheet was analysed numerically. We considered nanofluid volume fraction on the boundary is submissive controlled. The transformed equations governing the flow are solved numerically using bvp5c Matlab package. Effects of non dimensional governing parameters on velocity, temperature and concentration profiles are discussed and presented through graphs. Results indicate that the enhancement in Brownian motion and thermophoresis parameters depreciates the nano particle concentration and increases the mass transfer rate. Keywords: MHD, Stretching, Suction/Injection, Radiation, Heat source/sink.

Magnetohydrodynamic Viscous Flow Over a Shrinking Sheet With Second Order Slip Flow Model

In this paper, we investigate the magnetohydrodynamic viscous flow with second order slip flow model over a permeable shrinking surface. We have obtained the closed form of exact solution of Navier-Stokes equations by using similarity variable technique. The effects of slip, suction and magnetic parameter have been investigated in detail. The results show that there are two solution branches, namely lower and upper solution branch. The behavior of velocity and shear stress profiles for different values of slip, suction and magnetic parameters has been discussed through graphs.Comment: 13 Pages, 8 Figures. Accepted for Publication in Heat Transfer Researc

Further results on nonlinearly stretching permeable sheets: analitic solution for MHD flow and mass transfer

The steady magnetohydrodynamic (MHD) flow and mass transfer of an incompressible, viscous, and electrically conducting fluid over a permeable flat surface stretched with nonlinear (quadratic) velocity u(w)(x) = ax + c(0)x(2) and appropriate wall transpiration is investigated. It is shown that the problem permits an analytical solution for the complete set of equations with magnetic field influences when a fictitious presence of a chemical reaction is considered. Velocity and concentration fields are presented through graphs and discussed. The results for both skin friction coefficient f ''(0) and mass transfer gradient c'(0) agree well with numerical results published in the literatureCortell Bataller, R. (2012). Further results on nonlinearly stretching permeable sheets: analitic solution for MHD flow and mass transfer. Mathematical Problems in Engineering. 2012:1-18. doi:10.1155/2012/743130S1182012Cortell, R. (2011). 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Homotopy solution for the unsteady three-dimensional MHD flow and mass transfer in a porous space. Communications in Nonlinear Science and Numerical Simulation, 15(9), 2375-2387. doi:10.1016/j.cnsns.2009.09.013Cortell, R. (2005). Flow and heat transfer of a fluid through a porous medium over a stretching surface with internal heat generation/absorption and suction/blowing. Fluid Dynamics Research, 37(4), 231-245. doi:10.1016/j.fluiddyn.2005.05.001Cortell, R. (2007). Toward an understanding of the motion and mass transfer with chemically reactive species for two classes of viscoelastic fluid over a porous stretching sheet. Chemical Engineering and Processing - Process Intensification, 46(10), 982-989. doi:10.1016/j.cep.2007.05.022Ishak, A., Nazar, R., Bachok, N., & Pop, I. (2010). Melting heat transfer in steady laminar flow over a moving surface. Heat and Mass Transfer, 46(4), 463-468. doi:10.1007/s00231-010-0592-8Cortell, R. (2011). Suction, viscous dissipation and thermal radiation effects on the flow and heat transfer of a power-law fluid past an infinite porous plate. Chemical Engineering Research and Design, 89(1), 85-93. doi:10.1016/j.cherd.2010.04.017Takhar, H. S., Raptis, A. A., & Perdikis, C. P. (1987). MHD asymmetric flow past a semi-infinite moving plate. Acta Mechanica, 65(1-4), 287-290. doi:10.1007/bf01176888Kumaran, V., & Ramanaiah, G. (1996). A note on the flow over a stretching sheet. Acta Mechanica, 116(1-4), 229-233. doi:10.1007/bf01171433Weidman, P. D., & Magyari, E. (2009). Generalized Crane flow induced by continuous surfaces stretching with arbitrary velocities. Acta Mechanica, 209(3-4), 353-362. doi:10.1007/s00707-009-0186-zMagyari, E., & Kumaran, V. (2010). Generalized Crane flows of micropolar fluids. Communications in Nonlinear Science and Numerical Simulation, 15(11), 3237-3240. doi:10.1016/j.cnsns.2009.12.013Cortell, R. (2007). Flow and heat transfer in a moving fluid over a moving flat surface. Theoretical and Computational Fluid Dynamics, 21(6), 435-446. doi:10.1007/s00162-007-0056-zPalani, G., & Kim, K. Y. (2011). On the diffusion of a chemically reactive species in a convective flow past a vertical plate. Journal of Applied Mechanics and Technical Physics, 52(1), 57-66. doi:10.1134/s0021894411010093Muhaimin, I., & Kandasamy, R. (2010). Local Nonsimilarity Solution for the Impact of a Chemical Reaction in an MHD Mixed Convection Heat and Mass Transfer Flow over a Porous Wedge in the Presence Of Suction/Injection. Journal of Applied Mechanics and Technical Physics, 51(5), 721-731. doi:10.1007/s10808-010-0092-0Abdel-Rahman, G. M. (2010). Thermal-diffusion and MHD for Soret and Dufour’s effects on Hiemenz flow and mass transfer of fluid flow through porous medium onto a stretching surface. Physica B: Condensed Matter, 405(11), 2560-2569. doi:10.1016/j.physb.2010.03.032Rohni, A. M., Ahmad, S., & Pop, I. 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Bio-nanotechnology application in wastewater treatment

The nanoparticles have received high interest in the field of medicine and water purification, however, the nanomaterials produced by chemical and physical methods are considered hazardous, expensive, and leave behind harmful substances to the environment. This chapter aimed to focus on green-synthesized nanoparticles and their medical applications. Moreover, the chapter highlighted the applicability of the metallic nanoparticles (MNPs) in the inactivation of microbial cells due to their high surface and small particle size. Modifying nanomaterials produced by green-methods is safe, inexpensive, and easy. Therefore, the control and modification of nanoparticles and their properties were also discussed

Soret and Dufour effects on MHD flow with heat and mass transfer past a permeable stretching sheet in presence of thermal radiation

An analysis has been carried out to study the combined effects of the magnetic field, Joule heating, thermal radiation absorption, viscous dissipation, Buoyancy forces, thermal-diffusion and diffusion-thermion the convective heat and mass transfer flow of an electrically conducting fluid over a permeable vertically stretching sheet. The boundary layer equations for the fluid flow, heat and mass flux under consideration have been obtained and reduced into a system of non-linear ordinary differential equations by using appropriate similarity transformation. Using shooting method coupled with the fourth order Runge-Kutta integration scheme, the numerically solutions have been obtained and presented graphically. The effects of various embedded thermo-physical parameters on the fluid velocity, temperature, skin friction, Nusselt number and Sherwood number have been determined and discussed quantitatively. A comparison of a special case of our results with the one previously reported in the literature shows a very good agreement. An increase in values of thermal radiation, viscous dissipation, suction/injection coefficient and chemical reaction results in the increase of velocity, temperature and heat-mass transfer rates. It is further noted that the velocity, temperature and heat-mass transfer rates reduces on the boundary layer of a permeable vertical stretching sheet due to increase in the values of Soret or decrease in values of Dufour. Further, this work leads to study different flows of electrically conducting fluid over a permeable vertical stretching sheet problem that includes the two dimensional non-linear boundary equations