The Implicit Keller Box Scheme for Combined Heat and Mass Transfer of Brinkman-Type Micropolar Nanofluid with Brownian Motion and Thermophoretic Effect Over an Inclined Surface

The main purpose of the present analysis is to report the numerical solution of the thermal radiations and magnetohydrodynamic (MHD) effect on the flow of micropolar nanofluid. Further, the effect of Brownian motion and thermophoresis on the flow field are also elucidated. The combined phenomenon of heat and mass transfer is considered. Compatible similarities are implemented for the conversion of nonlinear ordinary differential equations from nonlinear partial differential equations. The numerical solution of the governing differential equations is obtained via the implicit Keller box technique. This is an efficient scheme based on the finite difference method. Findings demonstrate that the heat and mass exchange reduce with growth of the Brinkman parameter, whereas the wall shear stress enhances with improving the magnitude of the Brinkman factor. The temperature contour enhances when the radiation parameter reaches its peak, which is useful for industrial processes. The heat and mass flow rates decrease against higher magnitudes of inclination.

[1]  M. M. Rahman,et al.  Effects of variable electric conductivity and non-uniform heat source (or sink)on convective micropolar fluid flow along an inclined flat plate with surfaceheat flux , 2009 .

[2]  Ilyas Khan,et al.  Effects of Wall Shear Stress on MHD Conjugate Flow over an Inclined Plate in a Porous Medium with Ramped Wall Temperature , 2014 .

[3]  Machireddy Gnaneswara Reddy,et al.  MICROPOLAR FLUID FLOW OVER A NONLINEAR STRETCHING CONVECTIVELY HEATED VERTICAL SURFACE IN THE PRESENCE OF CATTANEO-CHRISTOV HEAT FLUX AND VISCOUS DISSIPATION , 2017 .

[4]  Ahmed Alsaedi,et al.  Radiation Effects on the Flow of Powell-Eyring Fluid Past an Unsteady Inclined Stretching Sheet with Non-Uniform Heat Source/Sink , 2014, PloS one.

[5]  M. Aziz,et al.  Blowing/suction effect on hydromagnetic heat transfer by mixed convection from an inclined continuously stretching surface with internal heat generation/absorption , 2004 .

[6]  Lazaros Elias Mavromatidis,et al.  Study of coupled transient radiation-natural convection heat transfer across rectangular cavities in the vicinity of low emissivity thin films for innovative building envelope applications , 2016 .

[7]  D. Srinivasacharya,et al.  Entropy generation in a micropolar fluid flow through an inclined channel , 2016 .

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

[9]  A. Sutradhar,et al.  Double-Diffusive Free Convection Flow Past an Inclined Plate Embedded in a Non-Darcy Porous Medium Saturated with a Nanofluid , 2013, Transport in Porous Media.

[10]  Ahmed Rashad,et al.  Unsteady nanofluid flow over an inclined stretching surface with convective boundary condition and anisotropic slip impact , 2017 .

[11]  R. Jana,et al.  Magnetohydrodynamic mixed convective slip flow over an inclined porous plate with viscous dissipation and Joule heating , 2015 .

[12]  Tasawar Hayat,et al.  Numerical study for MHD stagnation-point flow of a micropolar nanofluid towards a stretching sheet , 2017 .

[13]  Ch. RamReddy,et al.  Double dispersion effect on nonlinear convective flow over an inclined plate in a micropolar fluid saturated non-Darcy porous medium , 2018, Engineering Science and Technology, an International Journal.

[14]  I. Khan,et al.  Conjugate Effects of Heat and Mass Transfer on MHD Free Convection Flow over an Inclined Plate Embedded in a Porous Medium , 2013, PloS one.

[15]  B. J. Gireesha,et al.  Heat Transfer in MHD Dusty Boundary Layer Flow over an Inclined Stretching Sheet with Non-Uniform Heat Source/Sink , 2012 .

[16]  Saeid Abbasbandy,et al.  Heat and mass transfer of thermophoretic MHD flow over an inclined radiate isothermal permeable surface in the presence of heat source/sink , 2012 .

[17]  Thirupathi Thumma,et al.  Numerical study of a dissipative micropolar fluid flow past an inclined porous plate with heat source/sink , 2019, Propulsion and Power Research.

[18]  Puneet Rana,et al.  Numerical solution for mixed convection boundary layer flow of a nanofluid along an inclined plate embedded in a porous medium , 2012, Comput. Math. Appl..

[19]  Poom Kumam,et al.  Viscoelastic MHD Nanofluid Thin Film Flow over an Unsteady Vertical Stretching Sheet with Entropy Generation , 2019, Processes.

[20]  T. Hayat,et al.  Inclined magnetic field and heat source/sink aspects in flow of nanofluid with nonlinear thermal radiation , 2016 .

[21]  Sharidan Shafie,et al.  Unsteady MHD mixed convection flow of a micropolar fluid along an inclined stretching plate , 2013 .

[22]  Amna Shahid,et al.  Thermal and concentration diffusion in Jeffery nanofluid flow over an inclined stretching sheet: A generalized Fourier's and Fick's perspective , 2018 .

[23]  Hakan F. Oztop,et al.  Control of natural convection via inclined plate of CNT-water nanofluid in an open sided cubical enclosure under magnetic field , 2017 .

[24]  Khuram Rafique,et al.  Numerical Study on Micropolar Nanofluid Flow over an Inclined Surface by Means of Keller-Box , 2019, Asian Journal of Probability and Statistics.

[25]  Khuram Rafique,et al.  Keller-box Study on Casson Nano Fluid Flow over a Slanted Permeable Surface with Chemical Reaction , 2019, Asian Research Journal of Mathematics.

[26]  L. Mavromatidis Constructal Macroscale Thermodynamic Model of Spherical Urban Greenhouse Form with Double Thermal Envelope within Heat Currents , 2019, Sustainability.

[27]  O. Bég,et al.  Unsteady reactive magnetic radiative micropolar flow, heat and mass transfer from an inclined plate with Joule heating: A model for magnetic polymer processing , 2019 .

[28]  I. Khan,et al.  Magnetohydrodynamic flow of brinkman-type engine oil based MoS2-nanofluid in a rotating disk with hall effect , 2017 .

[29]  K. Das,et al.  Slip effects on heat and mass transfer in MHD micropolar fluid flow over an inclined plate with thermal radiation and chemical reaction , 2012 .

[30]  O. Bég,et al.  NUMERICAL ANALYSIS OF HYDROMAGNETIC GRAVITY-DRIVEN THIN FILM MICROPOLAR FLOW ALONG AN INCLINED PLANE , 2010 .

[31]  Devendra Kumar,et al.  MHD mixed convective stagnation point flow and heat transfer of an incompressible nanofluid over an inclined stretching sheet with chemical reaction and radiation , 2018 .

[32]  M. Safaei,et al.  Heat transfer and nanofluid flow over a porous plate with radiation and slip boundary conditions , 2019, Journal of Central South University.

[33]  Davood Domiri Ganji,et al.  Nonlinear thermal radiation effect on magneto Casson nanofluid flow with Joule heating effect over an inclined porous stretching sheet , 2018, Case Studies in Thermal Engineering.

[34]  M. M. Rahman,et al.  Study of hydromagnetic heat and mass transfer flow over an inclined heated surface with variable viscosity and electric conductivity , 2010 .

[35]  N. S. Elgazery Nanofluids flow over a permeable unsteady stretching surface with non-uniform heat source/sink in the presence of inclined magnetic field , 2019, Journal of the Egyptian Mathematical Society.

[36]  Kottakkaran Sooppy Nisar,et al.  MHD Slip Flow of Casson Fluid along a Nonlinear Permeable Stretching Cylinder Saturated in a Porous Medium with Chemical Reaction, Viscous Dissipation, and Heat Generation/Absorption , 2019, Symmetry.

[37]  Iskander Tlili,et al.  Effects MHD and Heat Generation on Mixed Convection Flow of Jeffrey Fluid in Microgravity Environment over an Inclined Stretching Sheet , 2019, Symmetry.

[38]  Rizwan Ul Haq,et al.  Thermal and velocity slip effects on Casson nanofluid flow over an inclined permeable stretching cylinder via collocation method , 2018, International Journal of Heat and Mass Transfer.

[39]  Lazaros Mavromatidis Coupling architectural synthesis to applied thermal engineering, constructal thermodynamics and fractal analysis: An original pedagogic method to incorporate “sustainability” into architectural education during the initial conceptual stages , 2018 .

[40]  T. Gangaiah,et al.  RADIATION EFFECT ON MHD FLOW OF A TANGENT HYPERBOLIC NANOFLUID OVER AN INCLINED EXPONENTIALLY STRETCHING SHEET , 2019, International Journal of Fluid Mechanics Research.

[41]  Taza Gul,et al.  The electrical MHD and Hall current impact on micropolar nanofluid flow between rotating parallel plates , 2018, Results in Physics.