Heat transfer flow of Cu-water and Al2O3-water micropolar nanofluids about a solid sphere in the presence of natural convection using Keller-box method

Abstract Natural convection boundary layer flow over a solid sphere in micropolar nanofluid with prescribed wall temperature is studied. Copper (Cu) and alumina (Al2O3) in water-based micropolar nanofluid has been considered. Tiwari and Das’s nanofluid model with realistic empirical correlations are considered to analyze the nanoparticles effects on natural convective flow. The nonlinear partial differential equations of the boundary layer are first transformed into a non-dimensional form and then solved numerically using an implicit finite difference scheme known as Keller-box method. The effects of nanoparticles volume fraction, Prandtl number, micro-rotation parameter on temperature, velocity and angular velocity are plotted and discussed. Further, numerical results for the local Nusselt number and the local skin friction coefficient are obtained. It is found that Cu has a low heat transfer rate as compare to Al2O3 water-based micropolar nanofluid with increasing micro-rotation parameter. The present results of local Nusselt number and the local skin friction for viscous fluid are found to be in good agreement with the literature.

[1]  V. C. Loukopoulos,et al.  MHD natural-convection flow in an inclined square enclosure filled with a micropolar-nanofluid , 2014 .

[2]  Masao Doi,et al.  Influence of particulate thermophoresis on convection heat and mass transfer in a slip flow of a viscoelasticity-based micropolar fluid , 2018 .

[3]  I. Pop,et al.  Numerical solutions of free convection boundary layer flow on a solid sphere with Newtonian heating in a micropolar fluid , 2012 .

[4]  P. Bradshaw,et al.  Physical and Computational Aspects of Convective Heat Transfer , 1984 .

[5]  Ilyas Khan,et al.  Heat Transfer in a Micropolar Fluid over a Stretching Sheet with Newtonian Heating , 2013, PloS one.

[6]  I. Pop,et al.  Free Convection Boundary Layer Flow on a Solid Sphere with Convective Boundary Conditions in a Micropolar Fluid , 2015 .

[7]  I. Pop,et al.  FREE CONVECTION BOUNDARY LAYER ON A SPHERE WITH CONSTANT SURFACE HEAT FLUX IN A MICROPOLAR FLUID , 2002 .

[8]  Ioan Pop,et al.  Mixed convection flow over a solid sphere embedded in a porous medium filled by a nanofluid containing gyrotactic microorganisms , 2013 .

[9]  I. Pop,et al.  Mixed convection boundary layer flow from a horizontal circular cylinder in a nanofluid , 2012 .

[10]  A. Parsa,et al.  Analysis of MHD micropolar nanofluid flow and heat transfer between a porous plate and a nonporous plate filled with porous medium , 2017 .

[11]  Ioan Pop,et al.  Mixed convection boundary layer flow from a vertical flat plate embedded in a porous medium filled with nanofluids , 2010 .

[12]  Ioan Pop,et al.  Boundary-layer flow of nanofluids over a moving surface in a flowing fluid , 2010 .

[13]  Adnan,et al.  Heat transfer enhancement in hydromagnetic dissipative flow past a moving wedge suspended by H2O-aluminum alloy nanoparticles in the presence of thermal radiation , 2017 .

[14]  Abdelhalim Ebaid,et al.  Application of Laplace Transform for the Exact Effect of a Magnetic Field on Heat Transfer of Carbon Nanotubes-Suspended Nanofluids , 2015 .

[15]  Ilyas Khan,et al.  UNSTEADY MHD FLOW OF SOME NANOFLUIDS PAST AN ACCELERATED VERTICAL PLATE EMBEDDED IN A POROUS MEDIUM , 2016 .

[16]  M. Mahmoud,et al.  MHD flow and heat transfer of a micropolar fluid over a stretching surface with heat generation (absorption) and slip velocity , 2012 .

[17]  R. Tiwari,et al.  HEAT TRANSFER AUGMENTATION IN A TWO-SIDED LID-DRIVEN DIFFERENTIALLY HEATED SQUARE CAVITY UTILIZING NANOFLUIDS , 2007 .

[18]  Naveed Ahmed,et al.  MHD flow of radiative micropolar nanofluid in a porous channel: optimal and numerical solutions , 2016, Neural Computing and Applications.

[19]  M. Qasim,et al.  Heat and mass transfer in nanofluid thin film over an unsteady stretching sheet using Buongiorno’s model , 2016 .

[20]  J. Buongiorno.  Convective Transport in Nanofluids , 2006 .

[21]  S. Mohyud-Din,et al.  Flow of magneto-nanofluid over a thermally stratified bi-directional stretching sheet in the presence of Ohmic heating: A numerical study of particle shapes , 2017 .

[22]  Razman Mat Tahar,et al.  Heat and mass transfer in a micropolar fluid with Newtonian heating: an exact analysis , 2016, Neural Computing and Applications.

[23]  Cha'o-Kuang Chen,et al.  Laminar Free Convection From a Sphere With Blowing and Suction , 1987 .

[24]  Ilyas Khan,et al.  Microstructure and inertial characteristics of a magnetite ferrofluid over a stretching/shrinking sheet using effective thermal conductivity model , 2018 .

[25]  M. A. A. Hamad,et al.  Analytical solution of natural convection flow of a nanofluid over a linearly stretching sheet in the presence of magnetic field , 2011 .

[26]  A. Eringen,et al.  THEORY OF MICROPOLAR FLUIDS , 1966 .

[27]  S. Sivaiah,et al.  Effects of Thermal Diffusion and Radiation on Unsteady MHD Free Convection Flow Past an Infinite Heated Vertical Plate in a Porous Medium , 2012 .

[28]  Ilyas Khan,et al.  Convection Heat Transfer in Micropolar Nanofluids with Oxide Nanoparticles in Water, Kerosene and Engine Oil , 2017 .

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

[30]  M. S. Faltas,et al.  Exact solution for the unsteady flow of a semi-infinite micropolar fluid , 2011 .

[31]  Kai-Long Hsiao,et al.  Micropolar nanofluid flow with MHD and viscous dissipation effects towards a stretching sheet with multimedia feature , 2017 .

[32]  I. A. Hassanien,et al.  Heat transfer to a micropolar fluid from a non-isothermal stretching sheet with suction and blowing , 1990 .

[33]  N. Akbar,et al.  Magnetite micropolar nanofluid non-aligned MHD flow with mixed convection , 2017 .

[34]  Iskander Tlili,et al.  Multiple slips effects on MHD SA-Al 2 O 3 and SA-Cu non-Newtonian nanofluids flow over a stretching cylinder in porous medium with radiation and chemical reaction , 2018 .