Homogeneous and heterogeneous reactions in a nanofluid flow due to a rotating disk of variable thickness using HAM

Abstract Present study deals with the magnetohydrodynamic flow of nanofluid in a rotating disk with variable thickness in the presence of injection / suction parameter. In this paper, water is considered as a base fluid and silver as a nanoparticle. Primarily, Generalized Von Karman transformations are applied to attain the ordinary differential equations from the nonlinear partial differential equations. By employing HAM technique, the characteristics of flow and heat transfer are computed. Heat and Mass transfer subject to volume fraction of silver nanoparticles in the presence of injection / suction are investigated. Homogeneous and Heterogeneous reactions are taken into account. Impact of pertinent parameters such as disk thickness index, dimensionless constant, Reynolds number, Grashof number, magnetic parameter, Prandtl number on velocity, temperature and concentration are investigated. It is observed that with an increase in disk thickness the radial, axial and azimuthal velocities are enhanced. Magnitude of concentration increases for larger Schmidt number.

[1]  T. Hayat,et al.  Magnetohydrodynamics flow of nanofluid with homogeneous-heterogeneous reactions and velocity slip , 2017 .

[2]  I. Pop,et al.  Natural convection in a square cavity filled with a porous medium saturated with a nanofluid using the thermal nonequilibrium model with a Tiwari and Das nanofluid model , 2015 .

[3]  T. Hayat,et al.  Magnetohydrodynamic (MHD) flow of Cu-water nanofluid due to a rotating disk with partial slip , 2015 .

[4]  T. Hayat,et al.  Radiative flow due to stretchable rotating disk with variable thickness , 2017 .

[5]  L. Watson,et al.  Magnetohydrodynamic Flow Between a Solid Rotating Disk and a Porous Stationary Disk , 1987 .

[6]  Tasawar Hayat,et al.  Homotopy solution for the unsteady three-dimensional MHD flow and mass transfer in a porous space , 2010 .

[7]  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 .

[8]  F. Alzahrani,et al.  Effects of homogeneous–heterogeneous reactions in flow of magnetite-Fe3O4 nanoparticles by a rotating disk , 2016 .

[9]  Ioan Pop,et al.  Steady-state free convection in right-angle porous trapezoidal cavity filled by a nanofluid: Buongiorno’s mathematical model , 2015 .

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

[11]  T. Hayat,et al.  Comparative study of silver and copper water nanofluids with mixed convection and nonlinear thermal radiation , 2016 .

[12]  Chien-Hsin Chen.  Effects of magnetic field and suction/injection on convection heat transfer of non-Newtonian power-law fluids past a power-law stretched sheet with surface heat flux , 2008 .

[13]  T. Hayat,et al.  Slip flow by a variable thickness rotating disk subject to magnetohydrodynamics , 2017 .

[14]  T. Hayat,et al.  On squeezing flow of nanofluid in the presence of magnetic field effects , 2016 .

[15]  T. Hayat,et al.  Impact of magnetohydrodynamics in bidirectional flow of nanofluid subject to second order slip velocity and homogeneous–heterogeneous reactions , 2015 .

[16]  T. Hayat,et al.  MHD flow of nanofluid with homogeneous-heterogeneous reactions and velocity slip , 2015 .

[17]  T. Hayat,et al.  On chemical reaction and porous medium effect in the MHD flow due to a rotating disk with variable thickness , 2017 .

[18]  T. Hayat,et al.  Homogeneous–heterogeneous reactions in peristaltic flow of Prandtl fluid with thermal radiation , 2017 .

[19]  I. Pop,et al.  MHD Homogeneous-Heterogeneous Reactions in a Nanofluid due to a Permeable Shrinking Surface , 2016 .

[20]  E. A. Hamza.  Suction and injection effects on a similar flow between parallel plates , 1999 .

[21]  Ahmed Alsaedi,et al.  Effects of homogeneous and heterogeneous reactions in flow of nanofluids over a nonlinear stretching surface with variable surface thickness , 2016 .

[22]  Liancun Zheng,et al.  Steady flow and heat transfer of the power-law fluid over a rotating disk , 2011 .

[23]  Ahmed Alsaedi,et al.  Nanofluid flow due to rotating disk with variable thickness and homogeneous-heterogeneous reactions , 2017 .

[24]  S. Liao.  Notes on the homotopy analysis method: Some definitions and theorems , 2009 .

[25]  Ahmed Alsaedi,et al.  A comparative study of Casson fluid with homogeneous-heterogeneous reactions. , 2017, Journal of colloid and interface science.

[26]  T. Hayat,et al.  Homogeneous-Heterogeneous Reactions in Peristaltic Flow with Convective Conditions , 2014, PloS one.

[27]  Y. Nkansah-Gyekye,et al.  Unsteady flow of variable viscosity Cu-water and Al2O3-water nanofluids in a porous pipe with buoyancy force , 2015 .

[28]  Mustafa Turkyilmazoglu,et al.  Nanofluid flow and heat transfer due to a rotating disk , 2014 .

[29]  J. P. Agarwal,et al.  Effect of suction and injection on flow along a vertical plane surface , 1979 .

[30]  T. Hayat,et al.  Homogeneous-heterogeneous reactions in nonlinear radiative flow of Jeffrey fluid between two stretchable rotating disks , 2017 .

[31]  Mohammad Mehdi Rashidi,et al.  Magnetic field and internal heat generation effects on the free convection in a rectangular cavity filled with a porous medium saturated with Cu–water nanofluid , 2017 .

[32]  M. Muthtamilselvan,et al.  Thermophoretic particle deposition on magnetohydrodynamic flow of micropolar fluid due to a rotating disk , 2017 .

[33]  Shijun Liao,et al.  On the homotopy analysis method for nonlinear problems , 2004, Appl. Math. Comput..

[34]  Salman Ahmad,et al.  Heat and Mass Transfer Analysis of MHD Nanofluid Flow with Radiative Heat Effects in the Presence of Spherical Au-Metallic Nanoparticles , 2016, Nanoscale Research Letters.

[35]  Mohammad Mehdi Rashidi,et al.  Effect of non-uniform magnetic field on forced convection heat transfer of Fe3O4–water nanofluid , 2015 .

[36]  Ioan Pop,et al.  Free Convection in a Parallelogrammic Porous Cavity Filled with a Nanofluid Using Tiwari and Das’ Nanofluid Model , 2015, PloS one.