Nonlinear thermal radiation and cubic autocatalysis chemical reaction effects on the flow of stretched nanofluid under rotational oscillations.

Combined effects of nonlinear thermal radiation and cubic autocatalysis chemical reaction on the three dimensional flow of stretched nanofluid along a rotating sheet have been investigated in this paper. The flow field is assumed to be suspended with magnetic iron oxide nanoparticles (IONPs). Hamilton-Crosser model is applied to measure effective thermal conductivity of nanofluid. Rosseland approximation is employed to obtain the nonlinear radiative heat flux. For novelty and practical point of view, influence of fluctuating surface velocity and periodic surface temperature constraints are incorporated into the governing equations which in turn are made dimension free by employing suitable transformations. For numerical solutions, an explicit finite difference scheme has been proposed under the restrictions of derived stability conditions.

[1]  R. Kumar,et al.  FLUCTUATING HEAT AND MASS TRANSFER ON UNSTEADY MHD FREE CONVECTION FLOW OF RADIATING AND REACTING FLUID PAST A VERTICAL POROUS PLATE IN SLIP- FLOW REGIME , 2011 .

[2]  M. G. Reddy,et al.  Heat transfer of nonlinear radiative magnetohydrodynamic Cu-water nanofluid flow over two different geometries , 2017 .

[3]  Chang Y. Wang.  Nonlinear streaming due to the oscillatory stretching of a sheet in a viscous fluid , 1988 .

[4]  Rakesh Kumar,et al.  Combined influence of fluctuations in the temperature and stretching velocity of the sheet on MHD flow of Cu-water nanofluid through rotating porous medium with cubic auto-catalysis chemical reaction , 2017 .

[5]  Shankar Bandari,et al.  Mixed convection flow of thermally stratified MHD nanofluid over an exponentially stretching surface with viscous dissipation effect , 2017 .

[6]  Mehdi Ashjaee,et al.  Effect of an alternating nonuniform magnetic field on ferrofluid flow and heat transfer in a channel , 2014 .

[7]  Masood Khan,et al.  Nonlinear radiative heat transfer to stagnation-point flow of Sisko fluid past a stretching cylinder , 2016 .

[8]  D. Ganji,et al.  Effect of thermal radiation on magnetohydrodynamics nanofluid flow and heat transfer by means of two phase model , 2015 .

[9]  J. Merkin,et al.  A simple isothermal model for homogeneous-heterogeneous reactions in boundary-layer flow. II Different diffusivities for reactant and autocatalyst , 1995 .

[10]  S. Motsa,et al.  Viscous and Joule Heating in the Stagnation Point Nanofluid Flow Through a Stretching Sheet With Homogenous–Heterogeneous Reactions and Nonlinear Convection , 2013 .

[11]  M. Lighthill,et al.  The response of laminar skin friction and heat transfer to fluctuations in the stream velocity , 1954, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[12]  J. T. Stuart,et al.  A solution of the Navier-Stokes and energy equations illustrating the response of skin friction and temperature of an infinite plate thermometer to fluctuations in the stream velocity , 1955, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[13]  N. Sandeep,et al.  Thermophoresis and Brownian motion effects on unsteady MHD nanofluid flow over a slendering stretching surface with slip effects , 2017, Alexandria Engineering Journal.

[14]  P. K. Kameswaran,et al.  Homogeneous–heterogeneous reactions in a nanofluid flow due to a porous stretching sheet , 2013 .

[15]  T. Hayat,et al.  Hydromagnetic flow in a viscoelastic fluid due to the oscillatory stretching surface , 2008 .

[16]  Liancun Zheng,et al.  Unsteady heat and mass transfer in MHD flow over an oscillatory stretching surface with Soret and Dufour effects , 2013 .

[17]  Yongmin Chang,et al.  Carbon-coated iron oxide nanoparticles as contrast agents in magnetic resonance imaging , 2012, Nanoscale Research Letters.

[18]  Tiegang Fang,et al.  Sakiadis flow with nonlinear Rosseland thermal radiation , 2012 .

[19]  N. Ali,et al.  Hydromagnetic Flow and Heat Transfer over a Porous Oscillating Stretching Surface in a Viscoelastic Fluid with Porous Medium , 2015, PloS one.

[20]  V. Sugunamma,et al.  Dual solutions for three-dimensional MHD flow of a nanofluid over a nonlinearly permeable stretching sheet , 2016 .

[21]  E. Aly,et al.  Magnetohydrodynamic and thermal radiation effects on the boundary-layer flow due to a moving extensible surface with the velocity slip model: A comparative study of four nanofluids , 2017 .

[22]  Rizwan Ul Haq,et al.  Numerical simulation of water based magnetite nanoparticles between two parallel disks , 2016 .

[23]  T. Hayat,et al.  Model to study the non-linear radiation heat transfer in the stagnation-point flow of power-law fluid , 2015 .

[24]  R. Cortell,et al.  Fluid flow and radiative nonlinear heat transfer over a stretching sheet , 2014 .

[25]  L. Ladani,et al.  Interfacial Strength Between Single Wall Carbon Nanotubes and Copper Material: Molecular Dynamics Simulation , 2013 .

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

[27]  O. Makinde,et al.  Bioconvection in MHD nanofluid flow with nonlinear thermal radiation and quartic autocatalysis chemical reaction past an upper surface of a paraboloid of revolution , 2016 .

[28]  Zafar Hayat Khan,et al.  Flow and heat transfer of ferrofluids over a flat plate with uniform heat flux , 2015 .

[29]  Tasawar Hayat,et al.  Nonlinear Radiation Heat Transfer Effects in the Natural Convective Boundary Layer Flow of Nanofluid Past a Vertical Plate: A Numerical Study , 2014, PloS one.

[30]  Asif Ali,et al.  Thermal analysis of the flow over an oscillatory stretching cylinder , 2012 .

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

[32]  I. Pop,et al.  On the stagnation-point flow towards a stretching sheet with homogeneous-heterogeneous reactions effects. , 2011 .

[33]  O. K. Crosser,et al.  Thermal Conductivity of Heterogeneous Two-Component Systems , 1962 .

[34]  Vikas Kumar,et al.  Free Convective Boundary Layer Flow of Radiating and Reacting MHD Fluid Past a Cosinusoidally Fluctuating Heated Plate , 2017 .

[35]  A. Lu,et al.  Magnetic nanoparticles: synthesis, protection, functionalization, and application. , 2007, Angewandte Chemie.

[36]  Ahmed Alsaedi,et al.  Homogeneous-heterogeneous reactions in MHD flow due to an unsteady curved stretching surface , 2016 .

[37]  Zafar Hayat Khan,et al.  Flow and heat transfer analysis of water and ethylene glycol based Cu nanoparticles between two parallel disks with suction/injection effects , 2016 .

[38]  B. J. Gireesha,et al.  Effects of Chemical Reaction and Nonlinear Thermal Radiation on Williamson Nanofluid Slip Flow over a Stretching Sheet Embedded in a Porous Medium , 2016 .

[39]  Tasawar Hayat,et al.  Magnetohydrodynamic three-dimensional flow of viscoelastic nanofluid in the presence of nonlinear thermal radiation , 2015 .

[40]  T. Hayat,et al.  Rotating Flow of Magnetite-Water Nanofluid over a Stretching Surface Inspired by Non-Linear Thermal Radiation , 2016, PloS one.

[41]  Ahmed Alsaedi,et al.  Nonlinear thermal radiation in three-dimensional flow of Jeffrey nanofluid: A model for solar energy , 2014, Appl. Math. Comput..

[42]  P. K. Kameswaran,et al.  Homogeneous-heterogeneous reactions in micropolar fluid flow from a permeable stretching or shrinking sheet in a porous medium , 2013, Boundary Value Problems.

[43]  Rakesh Kumar,et al.  Effects of chemical reactions on unsteady MHD free convection and mass transfer for flow past a hot vertical porous plate with heat generation/absorption through porous medium , 2010 .

[44]  Dulal Pal,et al.  Influence of nonlinear thermal radiation and variable viscosity on hydromagnetic heat and mass transfer in a thin liquid film over an unsteady stretching surface , 2016 .

[45]  Zhaohui Wu,et al.  Recent progress on magnetic iron oxide nanoparticles: synthesis, surface functional strategies and biomedical applications , 2015, Science and technology of advanced materials.

[46]  John H. Merkin,et al.  A simple isothermal model for homogeneous-heterogeneous reactions in boundary-layer flow. I Equal diffusivities , 1995 .

[47]  Oluwole Daniel Makinde,et al.  Thermophoresis and Brownian motion effects on MHD bioconvection of nanofluid with nonlinear thermal radiation and quartic chemical reaction past an upper horizontal surface of a paraboloid of revolution , 2016 .

[48]  H. Brinkman.  The Viscosity of Concentrated Suspensions and Solutions , 1952 .

[49]  Rahmat Ellahi,et al.  Study of Heat Transfer with Nonlinear Thermal Radiation on Sinusoidal Motion of Magnetic Solid Particles in a Dusty Fluid , 2016 .

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

[51]  T. Hayat,et al.  Effects of homogeneous-heterogeneous reactions in flow of Powell-Eyring fluid , 2015 .