Three dimensional heat and mass transfer in a rotating system using nanofluid

Abstract In this study, three dimensional nanofluid flow and heat transfer in a rotating system in the presence of magnetic field is investigated. The important effects of Brownian motion and thermophoresis have been included in the model of nanofluid. The basic partial differential equations are reduced to ordinary differential equations which are solved numerically using the fourth-order Runge–Kutta method. The numerical investigation is carried out for different governing parameters namely: Reynolds number, Rotation parameter, Magnetic parameter, Schmidt number, Thermophoretic parameter and Brownian parameter. Results indicate that skin friction parameter increases with augment of Reynolds number, Rotation parameter and Magnetic parameter. Also it can be found that Nusselt number has a direct relationship with Reynolds number while it has a reverse relationship with Rotation parameter, Magnetic parameter, Schmidt number, Thermophoretic parameter and Brownian parameter.

[1]  Donald A. Nield,et al.  Thermal instability in a porous medium layer saturated by a nanofluid , 2009 .

[2]  Rahmat Ellahi,et al.  Effects of MHD on Cu–water nanofluid flow and heat transfer by means of CVFEM , 2014 .

[3]  Davood Domiri Ganji,et al.  Natural convection in a nanofluid filled concentric annulus between an outer square cylinder and an inner elliptic cylinder , 2013 .

[4]  R. Rakoczy.  The application of the informational theory to the analysis of the grinding process under action of transverse rotating magnetic field , 2010 .

[5]  Saeed Zeinali Heris,et al.  Analysis of entropy generation between co-rotating cylinders using nanofluids , 2012 .

[6]  A. Gupta,et al.  HYDROMAGNETIC FLOW AND HEAT TRANSFER OVER A STRETCHING SHEET , 1979 .

[7]  Soumya Suddha Mallick,et al.  An investigation into modelling thermal conductivity for alumina–water nanofluids , 2013 .

[8]  Mohammad Ferdows,et al.  FINITE DIFFERENCE SOLUTION OF MHD RADIATIVE BOUNDARY LAYER FLOW OF A NANOFLUID PAST A STRETCHING SHEET , 2010 .

[9]  M. Gorji-Bandpy,et al.  Free convection of nanofluid filled enclosure using lattice Boltzmann method (LBM) , 2013 .

[10]  Sergio Cuevas,et al.  Entropy generation minimization of a MHD (magnetohydrodynamic) flow in a microchannel , 2010 .

[11]  Davood Domiri Ganji,et al.  Nanofluid flow and heat transfer in a rotating system in the presence of a magnetic field , 2014 .

[12]  Kuppalapalle Vajravelu,et al.  Analytical and numerical solutions of a coupled non-linear system arising in a three-dimensional rotating flow , 2004 .

[13]  Davood Domiri Ganji,et al.  Analytical investigation of MHD nanofluid flow in a semi-porous channel , 2013 .

[14]  Mohammad Mehdi Rashidi,et al.  Entropy generation in steady MHD flow due to a rotating porous disk in a nanofluid , 2013 .

[15]  Davood Domiri Ganji,et al.  Magnetic field effect on nanofluid flow and heat transfer using KKL model , 2014 .

[16]  Davood Domiri Ganji,et al.  Natural convection of nanofluids in an enclosure between a circular and a sinusoidal cylinder in the presence of magnetic field , 2012 .

[17]  Asif Ali,et al.  Analytic Solution of Three-Dimensional Viscous Flow and Heat Transfer Over a Stretching Flat Surface by Homotopy Analysis Method , 2008 .

[18]  Davood Domiri Ganji,et al.  Numerical investigation of MHD effects on Al2O3–water nanofluid flow and heat transfer in a semi-annulus enclosure using LBM , 2013 .

[19]  Davood Domiri Ganji,et al.  Natural convection heat transfer in a nanofluid filled semi-annulus enclosure ☆ , 2012 .

[20]  Davood Domiri Ganji,et al.  Natural convection heat transfer in a cavity with sinusoidal wall filled with CuO–water nanofluid in presence of magnetic field , 2014 .

[21]  T. Hayat,et al.  Influence of wall properties on the peristaltic flow of a nanofluid: Analytic and numerical solutions , 2012 .

[22]  Davood Domiri Ganji,et al.  Nanofluid Flow in a Semi-porous Channel in the Presence of Uniform Magnetic Field , 2013 .

[23]  Mohammad Mehdi Rashidi,et al.  Magnetohydrodynamic biorheological transport phenomena in a porous medium: A simulation of magnetic blood flow control and filtration , 2011 .

[24]  G. Domairry,et al.  An analytical solution for boundary layer flow of a nanofluid past a stretching sheet , 2011 .

[25]  Ming-Hui Chang,et al.  Preparation of copper oxide nanoparticles and its application in nanofluid , 2011 .

[26]  T. Hayat,et al.  Soret and Dufour effects in peristaltic transport of physiological fluids with chemical reaction: A mathematical analysis , 2014 .

[27]  Mohammad Mehdi Rashidi,et al.  A new analytical study of MHD stagnation-point flow in porous media with heat transfer , 2011 .

[28]  Saeed Zeinali Heris,et al.  Comparative study between metal oxide nanopowders on thermal characteristics of nanofluid flow through helical coils , 2013 .

[29]  Davood Domiri Ganji,et al.  Magnetic field effects on natural convection around a horizontal circular cylinder inside a square enclosure filled with nanofluid , 2012 .

[30]  Davood Domiri Ganji,et al.  MHD natural convection in a nanofluid filled inclined enclosure with sinusoidal wall using CVFEM , 2012, Neural Computing and Applications.

[31]  Wanxie Zhong,et al.  Improved precise integration method for differential Riccati equation , 2013 .

[32]  Davood Domiri Ganji,et al.  Effect of a magnetic field on natural convection in an inclined half-annulus enclosure filled with Cu–water nanofluid using CVFEM , 2013 .

[33]  M. Gorji-Bandpy,et al.  Two phase simulation of nanofluid flow and heat transfer using heatline analysis , 2013 .

[34]  Davood Domiri Ganji,et al.  Application of LBM in simulation of natural convection in a nanofluid filled square cavity with curve boundaries , 2013 .

[35]  R. Ellahi.  The effects of MHD and temperature dependent viscosity on the flow of non-Newtonian nanofluid in a pipe: Analytical solutions , 2013 .

[36]  Navid Freidoonimehr,et al.  Parametric analysis and optimization of entropy generation in unsteady MHD flow over a stretching rotating disk using artificial neural network and particle swarm optimization algorithm , 2013 .

[37]  Davood Domiri Ganji,et al.  Heat transfer of Cu-water nanofluid flow between parallel plates , 2013 .

[38]  Mohammad Mehdi Rashidi,et al.  Simultaneous effects of partial slip and thermal-diffusion and diffusion-thermo on steady MHD convective flow due to a rotating disk , 2011 .

[39]  Davood Domiri Ganji,et al.  Effect of magnetic field on Cu–water nanofluid heat transfer using GMDH-type neural network , 2013, Neural Computing and Applications.