Numerical simulation of water based magnetite nanoparticles between two parallel disks

Abstract Present study examines the fully developed squeezing flow of water functionalized magnetite nanoparticles between two parallel disks. For strongly magnetite fluid (water) three different types of nanoparticles having better thermal conductivity: Magnetite (Fe 3 O 4 ), Cobalt ferrite (CoFe 2 O 4 ) and Mn–Zn ferrite (Mn–ZnFe 2 O 4 ) are incorporated within the base fluid (water). Systems of equations containing the nanoparticle volume fraction are rehabilitating in the form of partial differential equations using cylindrical coordinate system. Resulting mathematical model is rehabilitated in the form of ordinary differential equations with the help of compatible similarity transformation. Results are analyzed for velocity, temperature, reduced skin friction and reduced Nusselt number with variation of different emerging parameters and determine the superb thermal conductivity among mentioned nanoparticles. Comparison among each mixture of ferrofluid has been plotted as response to differences in reduced skin friction and reduced Nusselt number distributions. Dominating effects are analyzed for squeezing parameter and it is found that water based-magnetite (Fe 3 O 4 ) gives the highest reduced skin friction and reduced Nusselt number as compared to the rest of the mixtures. Isotherms are also plotted against various values of nanoparticle volume fraction to analyze the temperature distribution within the whole domain of squeezing channel.

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

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

[3]  H. Oztop,et al.  Numerical study of natural convection in partially heated rectangular enclosures filled with nanofluids , 2008 .

[4]  B. Bou-Saïd,et al.  Approximate analytical solution of squeezing unsteady nanofluid flow , 2015 .

[5]  Zulfiqar Ali Zaidi,et al.  On unsteady two-dimensional and axisymmetric squeezing flow between parallel plates , 2014 .

[6]  Mohammad Mehdi Rashidi,et al.  Forced convection heat transfer in a semi annulus under the influence of a variable magnetic field , 2016 .

[7]  Mohammad Mehdi Rashidi,et al.  Analytic approximate solutions for steady flow over a rotating disk in porous medium with heat transfer by homotopy analysis method , 2012 .

[8]  A. Kuznetsov,et al.  The Cheng–Minkowycz problem for the double-diffusive natural convective boundary layer flow in a porous medium saturated by a nanofluid , 2011 .

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

[10]  A. K. Shukla,et al.  Thermal-diffusion and diffusion-thermo effects on MHD flow of viscous fluid between expanding or contracting rotating porous disks with viscous dissipation , 2016 .

[11]  D. Srinivasacharya,et al.  Flow and heat transfer of couple stress fluid in a porous channel with expanding and contracting walls , 2009 .

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

[13]  Sohail Nadeem,et al.  Convective heat transfer in MHD slip flow over a stretching surface in the presence of carbon nanotubes , 2015 .

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

[15]  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 .

[16]  R. Usha,et al.  Arbitrary squeezing of a viscous fluid between elliptic plates , 1996 .

[17]  Mohammad Mehdi Rashidi,et al.  Analytical solution of three-dimensional Navier–Stokes equations for the flow near an infinite rotating disk , 2009 .

[18]  Zulfiqar Ali Zaidi,et al.  MHD squeezing flow between two infinite plates , 2014 .

[19]  T. Mahmood,et al.  Analysis of flow and heat transfer of viscous fluid between contracting rotating disks , 2011 .

[20]  Liancun Zheng,et al.  Flow and heat transfer of a micropolar fluid in a porous channel with expanding or contracting walls , 2013 .

[21]  Davood Domiri Ganji,et al.  Heat transfer and nanofluid flow in suction and blowing process between parallel disks in presence of variable magnetic field , 2014 .

[22]  R. Ellahi,et al.  Three dimensional mesoscopic simulation of magnetic field effect on natural convection of nanofluid , 2015 .

[23]  Sohail Nadeem,et al.  Thermal radiation and slip effects on MHD stagnation point flow of nanofluid over a stretching sheet , 2015 .

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

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

[26]  T. Hayat,et al.  INFLUENCE OF HEAT TRANSFER IN THE SQUEEZING FLOW BETWEEN PARALLEL DISKS , 2012 .

[27]  S. Ishizawa The Unsteady Laminar Flow between Two Parallel Discs with Arbitrarily Varying Gap Width , 1966 .

[28]  Oluwole Daniel Makinde,et al.  Analysis of Sakiadis flow of nanofluids with viscous dissipation and Newtonian heating , 2012 .

[29]  Puneet Rana,et al.  Lattice Boltzmann simulation of nanofluid heat transfer enhancement and entropy generation , 2016 .

[30]  R. E. Rosensweig,et al.  Heating magnetic fluid with alternating magnetic field , 2002 .

[31]  Rizwan Ul Haq,et al.  Thermophysical effects of carbon nanotubes on MHD flow over a stretching surface , 2014 .

[32]  Donald A. Nield,et al.  The Cheng–Minkowycz problem for natural convective boundary-layer flow in a porous medium saturated by a nanofluid , 2009 .

[33]  G. Domairry,et al.  Squeezing Cu–water nanofluid flow analysis between parallel plates by DTM-Padé Method , 2014 .

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

[35]  Yongfang Zhong,et al.  Note on unsteady viscous flow on the outside of an expanding or contracting cylinder , 2012 .

[36]  O. Makinde,et al.  Effects of thermal radiation and viscous dissipation on boundary layer flow of nanofluids over a permeable moving flat plate , 2012 .

[37]  Davood Domiri Ganji,et al.  Magnetohydrodynamic mixed convective flow of Al2O3–water nanofluid inside a vertical microtube , 2014 .

[38]  A. Mujumdar,et al.  Heat transfer characteristics of nanofluids: a review , 2007 .

[39]  Zhang Xinxin,et al.  Homotopy analysis method for the asymmetric laminar flow and heat transfer of viscous fluid between contracting rotating disks , 2012 .

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

[41]  Oluwole Daniel Makinde,et al.  Buoyancy effects on {MHD} stagnation point flow and heat transfer of a nanofluid past a convectively , 2013 .

[42]  Vassilios C. Loukopoulos,et al.  Modeling the natural convective flow of micropolar nanofluids , 2014 .

[43]  Donald A. Nield,et al.  Natural convective boundary-layer flow of a nanofluid past a vertical plate , 2010 .

[44]  Bernd Weidenfeller,et al.  Thermal and electrical properties of magnetite filled polymers , 2002 .

[45]  Mohammad Mehdi Rashidi,et al.  Buoyancy effect on MHD flow of nanofluid over a stretching sheet in the presence of thermal radiation , 2014 .