Keller-Box Simulation for the Buongiorno Mathematical Model of Micropolar Nanofluid Flow over a Nonlinear Inclined Surface

Brownian motion and thermophoresis diffusions are the fundamental ideas of abnormal upgrading in thermal conductivity via binary fluids (base fluid along with nanoparticles). The influence of Brownian motion and thermophoresis are focused on in the Buongiorno model. In this problem, we considered the Buongiorno model with Brownian motion and thermophoretic effects. The nonlinear ordinary differential equations are recovered from the partial differential equations of the boundary flow via compatible similarity transformations and then employed to the Keller-box scheme for numerical results. The physical quantities of our concern including skin friction, Nusselt number, and Sherwood number along with velocity, temperature and concentration profile against involved effects are demonstrated. The impacts of the involved flow parameters are drawn in graphs and tabulated forms. The inclination effect shows an inverse relation with the velocity field. Moreover, the velocity profile increases with the growth of the buoyancy effect.

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

[2]  Abdul Aziz,et al.  Heat transfer in micropolar fluid along an inclined permeable plate with variable fluid properties , 2010 .

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

[4]  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.

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

[6]  Kottakkaran Sooppy Nisar,et al.  Numerical Analysis with Keller-Box Scheme for Stagnation Point Effect on Flow of Micropolar Nanofluid over an Inclined Surface , 2019, Symmetry.

[7]  M. Sheikholeslami.  Numerical investigation of nanofluid free convection under the influence of electric field in a porous enclosure , 2018 .

[8]  T. Hayat,et al.  The Effects of Buoyancy and Transpiration on the Flow and Heat Transfer over a Moving Permeable Surface in a Parallel Stream in the Presence of Radiation , 2014 .

[9]  S. Devi,et al.  Effects of Suction and Internal Heat Generation on Hydromagnetic Mixed Convective Nanofluid Flow over an Inclined Stretching Plate , 2015 .

[10]  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.

[11]  S. M. Arifuzzaman,et al.  Magnetohydrodynamic micropolar fluid flow in presence of nanoparticles through porous plate: A numerical study , 2018, International Journal of Heat and Technology.

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

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

[14]  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 .

[15]  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 .

[16]  B. J. Gireesha,et al.  MHD boundary layer flow and heat transfer in an inclined porous square cavity filled with nanofluids , 2017 .

[17]  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 .

[18]  Sharidan Shafie,et al.  MHD Free Convection Flow and Heat Transfer of Ferrofluids over a Vertical Flat Plate with Aligned and Transverse Magnetic Field , 2016 .

[19]  Sujata Mishra,et al.  Chemical reaction and Soret effects on hydromagnetic micropolar fluid along a stretching sheet , 2016 .

[20]  B. C. Sakiadis.  Boundary‐layer behavior on continuous solid surfaces: I. Boundary‐layer equations for two‐dimensional and axisymmetric flow , 1961 .

[21]  M. Ali,et al.  Similarity Solution of Heat and Mass Transfer Flow over an Inclined Stretching Sheet with Viscous Dissipation and Constant Heat Flux in Presence of Magnetic Field , 2015 .

[22]  M. Misiran,et al.  Keller-Box Scheme for Casson Nanofluid Flow over Nonlinear Inclined Surface with Soret and Dufour Effects , 2019 .

[23]  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 .

[24]  A. Hazbavi,et al.  Micropolar Fluid Flow Between Two Inclined Parallel Plates , 2017 .

[25]  N. Sandeep,et al.  Heat and Mass Transfer in Nanofluid Flow over an Inclined Stretching Sheet with Volume Fraction of Dust and Nanoparticles , 2016 .

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

[27]  P. Singh.  Heat and Mass Transfer in MHD Boundary Layer Flow Past an Inclined Plate with Viscous Dissipation in Porous Medium , 2012 .

[28]  T. Hayat,et al.  Radiation effects on the mixed convection flow induced by an inclined stretching cylinder with non-uniform heat source/sink , 2017, PloS one.

[29]  L. Crane.  Flow past a stretching plate , 1970 .

[30]  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.

[31]  Mohammad Mehdi Rashidi,et al.  A Similarity Solution for Mixed-Convection Boundary Layer Nanofluid Flow on an Inclined Permeable Surface , 2017 .

[32]  M. Hatami,et al.  Three-dimensional analysis of condensation nanofluid film on an inclined rotating disk by efficient analytical methods , 2018 .

[33]  Effects of Second Order Chemical Reaction on MHD Free Convection Dissipative Fluid Flow past an Inclined Porous Surface by way of Heat Generation: A Lie Group Analysis , 2016 .

[34]  Ali J. Chamkha,et al.  Boundary layer flow past an inclined stationary/moving flat plate with convective boundary condition , 2016 .

[35]  Oluwole Daniel Makinde,et al.  Buoyancy Effects on Thermal Boundary Layer Over a Vertical Plate With a Convective Surface Boundary Condition , 2010 .

[36]  A Mitra,et al.  Computational Modelling of Boundary-Layer Flow of a Nano fluid Over a Convective Heated Inclined Plate , 2018, JOURNAL OF MECHANICS OF CONTINUA AND MATHEMATICAL SCIENCES.

[37]  Kottakkaran Sooppy Nisar,et al.  Brownian Motion and Thermophoretic Diffusion Effects on Micropolar Type Nanofluid Flow with Soret and Dufour Impacts over an Inclined Sheet: Keller-Box Simulations , 2019, Energies.

[38]  S. M. Arifuzzaman,et al.  Computational Modelling on MHD Radiative Sisko Nanofluids Flow through a Nonlinearly Stretching Sheet , 2019, International Journal of Heat and Technology.

[39]  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.