Influence of particulate thermophoresis on convection heat and mass transfer in a slip flow of a viscoelasticity-based micropolar fluid

Abstract We focus on the intriguing particulate thermophoresis characterized by multi-dependent Soret number in a shear flow of a viscoelasticity-based micropolar fluid (VMF) over a stretching sheet in the existence of the slip condition. The multi-dependent Soret number involving the temperature field and micro-particle size factors is introduced to analyze the critical role of the particulate thermophoresis on the temperature and concentration profiles of a VMF. Such procedure being significant for convection heat and mass transfer has never yet been considered in the transport system of such non-Newtonian fluids. Theoretically, we find the larger particles more susceptible to the actuation of temperature gradient. The local Sherwood number increases linearly with the bulk temperature difference, while the thickness of the concentration boundary layer are decreased. We also find that the flow relaxation and slip behavior can give rise to the obvious reduction of local Nusselt number and Sherwood number in different ways. Moreover, these two behaviors are found to be inherently divergent in varying the local skin friction. A power law expression can fit well the dependence of the local skin friction on the slip parameter. The practical routes of heat and mass transfer in the complex fluids will be implemented by tuning the various physical parameters presented in this paper.

[1]  L. Scriven,et al.  Angular Momentum of Continua , 1961, Nature.

[2]  Puneet Rana,et al.  Finite element modeling of a double-diffusive mixed convection flow of a chemically-reacting magneto-micropolar fluid with convective boundary condition , 2015 .

[3]  S. Mohyud-Din,et al.  Analysis of wall jet flow for Soret, Dufour and chemical reaction effects in the presence of MHD with uniform suction/injection , 2016 .

[4]  S. K. Nandy,et al.  Unsteady flow of Maxwell fluid in the presence of nanoparticles toward a permeable shrinking surface with Navier slip , 2015 .

[5]  J. Pascal.  Effects of nonlinear diffusion in a two-phase system , 1996 .

[6]  Ilyas Khan,et al.  Convection Heat Transfer in Micropolar Nanofluids with Oxide Nanoparticles in Water, Kerosene and Engine Oil , 2017 .

[7]  Liancun Zheng,et al.  A novel investigation of a micropolar fluid characterized by nonlinear constitutive diffusion model in boundary layer flow and heat transfer. , 2017, Physics of fluids.

[8]  Jeffrey F. Morris,et al.  A review of microstructure in concentrated suspensions and its implications for rheology and bulk flow , 2009 .

[9]  A. Malkin,et al.  Non-Newtonian viscosity in steady-state shear flows , 2013 .

[10]  Chao-Yin Hsiao,et al.  Influence of thermophoretic particle deposition on MHD free convection flow of non-Newtonian fluids from a vertical plate embedded in porous media considering Soret and Dufour effects , 2014, Appl. Math. Comput..

[11]  Gerard C L Wong,et al.  Temperature dependence of thermodiffusion in aqueous suspensions of charged nanoparticles. , 2007, Langmuir : the ACS journal of surfaces and colloids.

[12]  Ilyas Khan,et al.  Exact and numerical solutions for unsteady heat and mass transfer problem of Jeffrey fluid with MHD and Newtonian heating effects , 2017, Neural Computing and Applications.

[13]  T. Hayat,et al.  Influence of thermal radiation and Joule heating on MHD flow of a Maxwell fluid in the presence of thermophoresis , 2010 .

[14]  Ahmed Alsaedi,et al.  Homogeneous-heterogeneous reactions in MHD flow of micropolar fluid by a curved stretching surface , 2017 .

[15]  N. Akbar,et al.  Non-orthogonal stagnation point flow of a micropolar second grade fluid towards a stretching surface with heat transfer , 2013 .

[16]  V. K. Stokes.  Effects of Couple Stresses in Fluids on the Creeping Flow Past a Sphere , 1971 .

[17]  V. K. Stokes.  Effects of Couple Stresses in Fluids on Hydromagnetic Channel Flows , 1968 .

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

[19]  Kai-Long Hsiao,et al.  Micropolar nanofluid flow with MHD and viscous dissipation effects towards a stretching sheet with multimedia feature , 2017 .

[20]  D. Srinivasacharya,et al.  Entropy generation in a micropolar fluid flow through an inclined channel with slip and convective boundary conditions , 2015 .

[21]  A. Eringen,et al.  THEORY OF MICROPOLAR FLUIDS , 1966 .

[22]  K. Das.  Influence of thermophoresis and chemical reaction on MHD micropolar fluid flow with variable fluid properties , 2012 .

[23]  A. Eringen.  Microcontinuum Field Theories , 2020, Advanced Continuum Theories and Finite Element Analyses.

[24]  Waqar A. Khan,et al.  MHD stagnation point flow and heat transfer impinging on stretching sheet with chemical reaction and transpiration , 2015 .

[25]  Grzegorz Lukaszewicz,et al.  Micropolar Fluids: Theory and Applications , 1998 .

[26]  Liancun Zheng,et al.  Mixed convection heat transfer in power law fluids over a moving conveyor along an inclined plate , 2015 .

[27]  Ilyas Khan,et al.  Heat and mass transfer phenomena in the flow of Casson fluid over an infinite oscillating plate in the presence of first-order chemical reaction and slip effect , 2016, Neural Computing and Applications.

[28]  T. Ariman,et al.  Microcontinuum fluid mechanics—A review , 1973 .

[29]  D. Pal,et al.  Thermal radiation and MHD effects on boundary layer flow of micropolar nanofluid past a stretching sheet with non-uniform heat source/sink , 2017 .

[30]  Roberto Piazza,et al.  Does thermophoretic mobility depend on particle size? , 2008, Physical review letters.

[31]  Ahmed Alsaedi,et al.  Magnetohydrodynamic (MHD) mixed convection flow of micropolar liquid due to nonlinear stretched sheet with convective condition , 2016 .

[32]  Vijay K. Stokes,et al.  Couple Stresses in Fluids , 1966 .

[33]  S. Liao.  An optimal homotopy-analysis approach for strongly nonlinear differential equations , 2010 .

[34]  Muhammad Imran Khan,et al.  MHD flow of carbon in micropolar nanofluid with convective heat transfer in the rotating frame , 2017 .

[35]  I. Pop,et al.  Heat and mass transfer for Soret and Dufour’s effect on mixed convection boundary layer flow over a stretching vertical surface in a porous medium filled with a viscoelastic fluid , 2010 .

[36]  H. Eyring,et al.  Elementary transition state theory of the Soret and Dufour effects. , 1980, Proceedings of the National Academy of Sciences of the United States of America.

[37]  Sadia Siddiqa,et al.  Periodic magnetohydrodynamic natural convection flow of a micropolar fluid with radiation , 2017 .

[38]  Tasawar Hayat,et al.  Radiative and Joule heating effects in the MHD flow of a micropolar fluid with partial slip and convective boundary condition , 2016 .

[39]  Roberto Piazza,et al.  Thermophoresis in protein solutions , 2003 .

[40]  S. Liao,et al.  Beyond Perturbation: Introduction to the Homotopy Analysis Method , 2003 .

[41]  J. Jain,et al.  Effects of Couple Stresses on the Stability of Plane Poiseuille Flow , 1972 .

[42]  J. Pascal,et al.  On some non-linear shear flows of non-Newtonian fluids , 1995 .

[43]  L. Zubov,et al.  The theory of elastic and viscoelastic micropolar liquids , 1999 .

[44]  T. Ariman,et al.  Applications of microcontinuum fluid mechanics , 1974 .

[45]  D. W. Condiff,et al.  Fluid Mechanical Aspects of Antisymmetric Stress , 1964 .

[46]  T. Hayat,et al.  Homotopy analysis of MHD boundary layer flow of an upper-convected Maxwell fluid , 2007 .

[47]  Liancun Zheng,et al.  Boundary layer heat and mass transfer with Cattaneo–Christov double-diffusion in upper-convected Maxwell nanofluid past a stretching sheet with slip velocity , 2016 .

[48]  A. Cemal Eringen,et al.  Theory of thermomicrofluids , 1972 .