Ferrofluid flow and heat transfer in a semi annulus enclosure in the presence of magnetic source considering thermal radiation

Abstract In this paper, ferrofluid flow and heat transfer in a semi annulus enclosure is investigated considering thermal radiation. The enclosure has a wall with constant heat flux boundary condition. Combined effects of Ferrohydrodynamic (FHD) and magnetohydrodynamic (MHD) are considered. It is assumed that the magnetization of the fluid is varying linearly with temperature and magnetic field intensity. Control Volume based Finite Element Method (CVFEM) is applied to solve the governing equations. The calculations were performed for different governing parameters namely; the Radiation parameter, Rayleigh number, nanoparticle volume fraction, Magnetic number arising from FHD and Hartmann number arising from MHD. Results show that Nusselt number is an increasing function of Rayleigh number, nanoparticle volume fraction, magnetic number while it is a decreasing function of with Hartmann number and radiation parameter.

[1]  Hakan F. Oztop,et al.  Effect of a rotating cylinder in forced convection of ferrofluid over a backward facing step , 2014 .

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

[3]  I. Hashim,et al.  Numerical Investigation of the Effect of Magnetic Field on Natural Convection in a Curved-Shape Enclosure , 2013 .

[4]  K. Khanafer,et al.  BUOYANCY-DRIVEN HEAT TRANSFER ENHANCEMENT IN A TWO-DIMENSIONAL ENCLOSURE UTILIZING NANOFLUIDS , 2003 .

[5]  Davood Domiri Ganji,et al.  Lattice Boltzmann method for MHD natural convection heat transfer using nanofluid , 2014 .

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

[7]  R. Ellahi,et al.  NON-NEWTONIAN NANOFLUID FLOW THROUGH A POROUS MEDIUM BETWEEN TWO COAXIAL CYLINDERS WITH HEAT TRANSFER AND VARIABLE VISCOSITY , 2013 .

[8]  Davood Domiri Ganji,et al.  Analytical investigation of MHD nanofluid flow in non-parallel walls , 2014 .

[9]  A. Raptis,et al.  Radiation and free convection flow through a porous medium , 1998 .

[10]  Michalis Xenos,et al.  Turbulent biomagnetic fluid flow in a rectangular channel under the action of a localized magnetic field , 2006 .

[11]  Mohsen Sheikholeslami,et al.  Effect of uniform suction on nanofluid flow and heat transfer over a cylinder , 2015 .

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

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

[14]  Tasawar Hayat,et al.  Slip and Joule heating effects in mixed convection peristaltic transport of nanofluid with Soret and Dufour effects , 2014 .

[15]  D. Ganji,et al.  NATURAL CONVECTION HEAT TRANSFER IN A NANOFLUID FILLED INCLINED L-SHAPED ENCLOSURE , 2014 .

[16]  Davood Domiri Ganji,et al.  Magnetohydrodynamic free convection of Al2O3–water nanofluid considering Thermophoresis and Brownian motion effects , 2014 .

[17]  T. Hayat,et al.  Flow of Viscous Nanofluid Between the Concentric Cylinders , 2014 .

[18]  Mohsen Sheikholeslami Kandelousi KKL correlation for simulation of nanofluid flow and heat transfer in a permeable channel , 2014 .

[19]  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 .

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

[21]  I. Pop,et al.  Effects of radiation and magnetic field on the mixed convection stagnation-point flow over a vertical stretching sheet in a porous medium , 2010 .

[22]  Davood Domiri Ganji,et al.  Heat flux boundary condition for nanofluid filled enclosure in presence of magnetic field , 2014 .

[23]  D. Pal,et al.  Radiation effects on combined convection over a vertical flat plate embedded in a porous medium of variable porosity , 2009 .

[24]  G. D. Davis Natural convection of air in a square cavity: A bench mark numerical solution , 1983 .

[25]  Davood Domiri Ganji,et al.  Laminar flow and heat transfer of nanofluid between contracting and rotating disks by least square method , 2014 .

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

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

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

[29]  Harmindar S. Takhar,et al.  Radiation effect on mixed convection along a vertical plate with uniform surface temperature , 1996 .

[30]  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 .

[31]  K. Nakatsuka,et al.  The magnetic fluid for heat transfer applications , 2002 .

[32]  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 .

[33]  Davood Domiri Ganji,et al.  MHD free convection in an eccentric semi-annulus filled with nanofluid , 2014 .

[34]  D. Ganji,et al.  Investigation of Nanofluid Flow and Heat Transfer in Presence of Magnetic Field Using KKL Model , 2014 .

[35]  D. Ganji,et al.  Heated Permeable Stretching Surface in a Porous Medium Using Nanofluids , 2014 .

[36]  Janusz S. Szmyd,et al.  EXPERIMENTAL AND NUMERICAL ANALYSIS OF THERMO-MAGNETIC CONVECTION IN A VERTICAL ANNULAR ENCLOSURE , 2010 .

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

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

[39]  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 .

[40]  Mohsen Sheikholeslami,et al.  Free convection of ferrofluid in a cavity heated from below in the presence of an external magnetic field , 2014 .

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

[42]  Davood Domiri Ganji,et al.  Magnetohydrodynamic flow in a permeable channel filled with nanofluid , 2014 .

[43]  T. Hayat,et al.  Simultaneous effects of convective conditions and nanoparticles on peristaltic motion , 2014 .

[44]  Davood Domiri Ganji,et al.  Numerical investigation for two phase modeling of nanofluid in a rotating system with permeable sheet , 2014 .

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

[46]  D. Ganji,et al.  Thermal management for free convection of nanofluid using two phase model , 2014 .

[47]  Davood Domiri Ganji,et al.  Nanofluid flow and heat transfer due to a stretching cylinder in the presence of magnetic field , 2013 .

[48]  Michalis Xenos,et al.  Biomagnetic fluid flow in a driven cavity , 2013 .

[49]  E. Magyari,et al.  Note on the effect of thermal radiation in the linearized Rosseland approximation on the heat transfer characteristics of various boundary layer flows , 2011 .

[50]  Arshad Riaz,et al.  EFFECTS OF MAGNETOHYDRODYNAMICS ON PERISTALTIC FLOW OF JEFFREY FLUID IN A RECTANGULAR DUCT THROUGH A POROUS MEDIUM , 2014 .

[51]  Kannan M. Munisamy,et al.  Characteristics of heat transfer and fluid flow in microtube and microchannel using conventional fluids and nanofluids: A review , 2013 .

[52]  Rahmat Ellahi,et al.  Numerical analysis of steady non‐Newtonian flows with heat transfer analysis, MHD and nonlinear slip effects , 2012 .

[53]  D. Ganji,et al.  Effect of thermal radiation on magnetohydrodynamics nanofluid flow and heat transfer by means of two phase model , 2015 .

[54]  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.

[55]  E. Tzirtzilakis,et al.  Biomagnetic flow in a curved square duct under the influence of an applied magnetic field , 2004 .

[56]  Ishak Hashim,et al.  Flow and Heat Transfer of Cu-Water Nanofluid between a Stretching Sheet and a Porous Surface in a Rotating System , 2012, J. Appl. Math..

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

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

[59]  E. Tzirtzilakis,et al.  A mathematical model for blood flow in magnetic field , 2005 .

[60]  Vaughan R. Voller,et al.  Basic Control Volume Finite Element Methods for Fluids and Solids , 2009, IISc Research Monographs Series.

[61]  W. Kaiser,et al.  Application of magnetite ferrofluids for hyperthermia , 1999 .

[62]  Davood Domiri Ganji,et al.  Three dimensional heat and mass transfer in a rotating system using nanofluid , 2014 .

[63]  Hiroshi Yamaguchi,et al.  An application of a binary mixture of magnetic fluid for heat transport devices , 2005 .

[64]  Rahmat Ellahi,et al.  Simulation of MHD CuO–water nanofluid flow and convective heat transfer considering Lorentz forces , 2014 .

[65]  Ioan Pop,et al.  Numerical study of natural convection between a circular enclosure and a sinusoidal cylinder using control volume based finite element method , 2013 .

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

[67]  P. Hatzikonstantinou,et al.  Biomagnetic fluid flow in a 3D rectangular duct , 2004 .

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

[69]  Ali J. Chamkha,et al.  Thermal radiation effects on MHD forced convection flow adjacent to a non-isothermal wedge in the presence of a heat source or sink , 2003 .

[70]  I. Zahmatkesh,et al.  INFLUENCE OF THERMAL RADIATION ON FREE CONVECTION INSIDE A POROUS ENCLOSURE , 2007 .

[71]  D. Ganji,et al.  Nanofluid flow and heat transfer in an asymmetric porous channel with expanding or contracting wall , 2014 .

[72]  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 .

[73]  D. Ganji,et al.  Ferrohydrodynamic and magnetohydrodynamic effects on ferrofluid flow and convective heat transfer , 2014 .

[74]  Shirley Abelman,et al.  Numerical simulation of MHD nanofluid flow and heat transfer considering viscous dissipation , 2014 .

[75]  M. Mohammadpourfard,et al.  Two-phase mixture model simulation of the hydro-thermal behavior of an electrical conductive ferrofluid in the presence of magnetic fields , 2012 .

[76]  Tasawar Hayat,et al.  Radiation effects on MHD flow of Maxwell fluid in a channel with porous medium , 2011 .

[77]  A. Pantokratoras Natural convection along a vertical isothermal plate with linear and non-linear Rosseland thermal radiation , 2014 .

[78]  D. Ganji,et al.  Unsteady nanofluid flow and heat transfer in presence of magnetic field considering thermal radiation , 2015 .

[79]  Saeid Abbasbandy,et al.  Analytic approximate solutions for heat transfer of a micropolar fluid through a porous medium with radiation , 2011 .

[80]  Mohsen Sheikholeslami,et al.  Lattice Boltzmann simulation of magnetohydrodynamic natural convection heat transfer of Al2O3–water nanofluid in a horizontal cylindrical enclosure with an inner triangular cylinder , 2015 .

[81]  Davood Domiri Ganji,et al.  Entropy generation of nanofluid in presence of magnetic field using Lattice Boltzmann Method , 2015 .

[82]  Davood Domiri Ganji,et al.  Investigation of squeezing unsteady nanofluid flow using ADM , 2013 .