Natural convection heat transfer in a cavity with sinusoidal wall filled with CuO–water nanofluid in presence of magnetic field

Abstract Control volume based finite element method (CVFEM) is applied to investigate flow and heat transfer of CuO–water nanofluid in presence of magnetic field. The enclosure has a sinusoidal wall under constant heat flux. The effective thermal conductivity and viscosity of nanofluid are calculated by KKL (Koo–Kleinstreuer–Li) correlation. In this model effect of Brownian motion on the effective thermal conductivity is considered. The numerical investigations are conducted at a fixed Prandtl number equal to 6.2. Various values of non-dimensional governing parameters such as volume fraction of nanoparticles (ϕ), Rayleigh number (Ra), dimensionless amplitude of the sinusoidal wall (a) and Hartmann number (Ha) are examined. Also a correlation of Nusselt number corresponding to active parameters is presented. The results show that Nusselt number is an increasing function of nanoparticles volume fraction, dimensionless amplitude of the sinusoidal wall and Rayleigh number while it is a decreasing function of Hartmann number.

[1]  A. B. Rahimi,et al.  Double-Diffusive Natural Convection In A Rectangular Cavity With Partially Thermally Active Side Walls , 2012 .

[2]  B. R. Baliga,et al.  A CONTROL VOLUME FINITE-ELEMENT METHOD FOR TWO-DIMENSIONAL FLUID FLOW AND HEAT TRANSFER , 1983 .

[3]  Chieh-Li Chen,et al.  Mixed convection heat transfer performance of water-based nanofluids in lid-driven cavity with wavy surfaces , 2013 .

[4]  Stephen U. S. Choi.  Enhancing thermal conductivity of fluids with nano-particles , 1995 .

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

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

[7]  R. Bhargava,et al.  Flow and heat transfer of a nanofluid over a nonlinearly stretching sheet: A numerical study , 2012 .

[8]  J. Koo,et al.  Viscous dissipation effects in microtubes and microchannels , 2004 .

[9]  R. Bhargava,et al.  Numerical study of heat transfer enhancement in mixed convection flow along a vertical plate with heat source/sink utilizing nanofluids , 2011 .

[10]  Omar Imine,et al.  Laminar natural convection in an inclined cavity with a wavy wall , 2002 .

[11]  Stephen U. S. Choi,et al.  Role of Brownian motion in the enhanced thermal conductivity of nanofluids , 2004 .

[12]  Cha'o-Kuang Chen,et al.  Natural convection heat transfer performance in complex-wavy-wall enclosed cavity filled with nanofluid , 2012 .

[13]  J. Koo,et al.  Liquid flow in microchannels: experimental observations and computational analyses of microfluidics effects , 2003 .

[14]  Y. Xuan,et al.  Investigation on Convective Heat Transfer and Flow Features of Nanofluids , 2003 .

[15]  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 .

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

[17]  J. Rostami.  Unsteady natural convection in an enclosure with vertical wavy walls , 2008 .

[18]  D. Ganji,et al.  Analytical investigation of Jeffery-Hamel flow with high magnetic field and nanoparticle by Adomian decomposition method , 2012 .

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

[20]  Ronald M. Barron,et al.  Effect of a magnetic field on free convection in a rectangular enclosure , 1995 .

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

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

[23]  R. Prasher,et al.  Thermal conductivity of nanoscale colloidal solutions (nanofluids). , 2005, Physical review letters.

[24]  F. Su,et al.  The effect of carbon nanotubes on the physical properties of a binary nanofluid , 2011 .

[25]  Clement Kleinstreuer,et al.  Laminar nanofluid flow in microheat-sinks , 2005 .

[26]  M. Sharif,et al.  Natural convection in cavities with constant flux heating at the bottom wall and isothermal cooling from the sidewalls , 2005 .

[27]  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..

[28]  Mohsen Sheikholeslami,et al.  Magnetic field effects on natural convection flow of a nanofluid in a horizontal cylindrical annulus using Lattice Boltzmann method , 2013 .

[29]  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 .

[30]  S. Mahmud,et al.  Free convection in an enclosure with vertical wavy walls , 2002 .

[31]  B. Prunet-Foch,et al.  Laminar flow past a sinusoidal cavity , 1987 .

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

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

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