Stratified flow of an Oldroyd-B nanoliquid with heat generation

Abstract Here modeling and computations are made to explore the characteristics of mixed convection flow of Oldroyd-B nanoliquid. Linear stretchable surface creates the flow. Brownian motion and thermophoretic aspects in nanoliquid modeling are retained. Thermal and solutal stratifications along with heat generation/absorption are considered for heat and mass transfer processes. Boundary layer approach is implemented in the mathematical formulation. The resulting problems are computed by homotopic algorithm. Salient features of Deborah numbers, mixed convection parameter, ratio of thermal to concentration buoyancy forces, Brownian motion parameter, Prandtl number, thermophoretic parameter, thermal/concentration stratification parameter, heat generation/absorption parameter and Schmidt number on the velocity, temperature, nanoparticles concentration and Nusselt and Sherwood numbers are reported through graphs and tables. Besides this the results of presented analysis have been compared with the available works in limiting situations and good agreement is noted.

[1]  Ahmed Alsaedi,et al.  Numerical study for slip flow of carbon–water nanofluids , 2017 .

[2]  Ahmed Alsaedi,et al.  Impact of heat generation/absorption and homogeneous-heterogeneous reactions on flow of Maxwell fluid , 2017 .

[3]  M. M. Bhatti,et al.  Simultaneous effects of coagulation and variable magnetic field on peristaltically induced motion of Jeffrey nanofluid containing gyrotactic microorganism. , 2017, Microvascular research.

[4]  Tasawar Hayat,et al.  On 2D stratified flow of an Oldroyd-B fluid with chemical reaction: An Application of non-Fourier heat flux theory , 2016 .

[5]  Exact Solutions of the Problem of Unsteady Flow of a Viscoplastic Medium in a Circular Pipe , 2003 .

[6]  Tasawar Hayat,et al.  Cattaneo-Christov heat flux model for flow of variable thermal conductivity generalized Burgers fluid , 2016 .

[7]  Sohail Nadeem,et al.  Impact of stratification and Cattaneo-Christov heat flux in the flow saturated with porous medium , 2016 .

[8]  Wenchang Tan,et al.  Stability analysis of soret-driven double-diffusive convection of Maxwell fluid in a porous medium , 2011 .

[9]  Yaqing Liu,et al.  Unsteady Helical Flow of a Generalized Oldroyd-B Fluid with Fractional Derivative , 2014 .

[10]  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.

[11]  B. J. Gireesha,et al.  Heat and mass transfer effects on the mixed convective flow of chemically reacting nanofluid past a moving/stationary vertical plate , 2016 .

[12]  T. Hayat,et al.  Flow of variable thermal conductivity Oldroyd-B fluid with generalized Fourier's and Fick's laws , 2017 .

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

[14]  W. Khan,et al.  Non-linear radiative flow of three-dimensional Burgers nanofluid with new mass flux effect , 2016 .

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

[16]  Azeem Shahzad,et al.  Axisymmetric flow and heat transfer over an unsteady stretching sheet in power law fluid , 2016 .

[17]  Mohsen Sheikholeslami,et al.  Nanofluid two phase model analysis in existence of induced magnetic field , 2017 .

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

[19]  Ahmed Alsaedi,et al.  Numerically framing the features of second order velocity slip in mixed convective flow of Sisko nanomaterial considering gyrotactic microorganisms , 2017 .

[20]  Azeem Shahzad,et al.  MHD Flow of a Non-Newtonian Power Law Fluid over a Vertical Stretching Sheet with the Convective Boundary Condition , 2012 .

[21]  N. Sandeep,et al.  UCM flow across a melting surface in the presence of double stratification and cross-diffusion effects , 2017 .

[22]  Constantin Fetecau,et al.  On the energetic balance for the flow of an Oldroyd-B fluid due to a flat plate subject to a time-dependent shear stress , 2010, Comput. Math. Appl..

[23]  Tasawar Hayat,et al.  Numerical study for Soret and Dufour effects on mixed convective peristalsis of Oldroyd 8-constants fluid , 2017 .

[24]  Ahmed Alsaedi,et al.  MHD stagnation point flow of viscoelastic nanofluid with non-linear radiation effects , 2016 .

[25]  Ahmed Alsaedi,et al.  Analysis of thixotropic nanomaterial in a doubly stratified medium considering magnetic field effects , 2016 .

[26]  Rahmat Ellahi,et al.  Convective heat transfer of nanofluid in a wavy channel: Buongiorno's mathematical model , 2016 .

[27]  S. Mukhopadhyay Heat Transfer Analysis of the Unsteady Flow of a Maxwell Fluid over a Stretching Surface in the Presence of a Heat Source/Sink , 2012 .

[28]  M. Nandeppanavar,et al.  MHD flow and heat transfer for the upper-convected Maxwell fluid over a stretching sheet , 2012 .

[29]  Tasawar Hayat,et al.  Effectiveness of magnetic nanoparticles in radiative flow of Eyring-Powell fluid , 2017, Journal of Molecular Liquids.

[30]  Rahmat Ellahi,et al.  On boundary layer nano-ferroliquid flow under the influence of low oscillating stretchable rotating disk , 2017 .

[31]  Ahmed Alsaedi,et al.  Outcome for chemically reactive aspect in flow of tangent hyperbolic material , 2017 .

[32]  Mustafa Turkyilmazoglu,et al.  Exact analytical solutions for the flow and heat transfer near the stagnation point on a stretching/shrinking sheet in a Jeffrey fluid , 2013 .

[33]  Waqar A. Khan,et al.  Non-aligned MHD stagnation point flow of variable viscosity nanofluids past a stretching sheet with radiative heat , 2016 .

[34]  Ahmed Alsaedi,et al.  Simultaneous effects of heat generation/absorption and thermal radiation in magnetohydrodynamics (MHD) flow of Maxwell nanofluid towards a stretched surface , 2017 .

[35]  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 .

[36]  Tasawar Hayat,et al.  Numerical simulation for melting heat transfer and radiation effects in stagnation point flow of carbon–water nanofluid , 2017 .

[37]  Masood Khan,et al.  A note on convective heat transfer of an MHD Jeffrey fluid over a stretching sheet , 2015 .

[38]  Exact Solution for the Flow of Oldroyd-B Fluid Between Coaxial Cylinders , 2014 .

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

[40]  S. Taghavi,et al.  Stagnation-point flow of upper-convected Maxwell fluids , 2006 .

[41]  Mustafa Turkyilmazoglu,et al.  The analytical solution of mixed convection heat transfer and fluid flow of a MHD viscoelastic fluid over a permeable stretching surface , 2013 .

[42]  A. Megahed Variable fluid properties and variable heat flux effects on the flow and heat transfer in a non-Newtonian Maxwell fluid over an unsteady stretching sheet with slip velocity , 2013 .

[43]  D. Srinivasacharya,et al.  Effect of double stratification on mixed convection boundary layer flow of a nanofluid past a vertical plate in a porous medium , 2014, Applied Nanoscience.

[44]  Z. Abbas,et al.  Effects of thermophoresis and heat generation/absorption on MHD flow due to an oscillatory stretching sheet with chemically reactive species , 2015 .

[45]  M. Irfan,et al.  Impact of chemical processes on magneto nanoparticle for the generalized Burgers fluid , 2017 .

[46]  Rahmat Ellahi,et al.  Simultaneous effects of nanoparticles and slip on Jeffrey fluid through tapered artery with mild stenosis , 2016 .

[47]  N. Sandeep,et al.  A comparative study of convective heat and mass transfer in non-Newtonian nanofluid flow past a permeable stretching sheet , 2015 .

[48]  T. Hayat,et al.  Homogeneous-heterogeneous reactions and heat source/sink effects in MHD peristaltic flow of micropolar fluid with Newtonian heating in a curved channel , 2016 .

[49]  M. Y. Malik,et al.  Logarithmic and parabolic curve fitting analysis of dual stratified stagnation point MHD mixed convection flow of Eyring-Powell fluid induced by an inclined cylindrical stretching surface , 2017 .

[50]  N. Sandeep,et al.  Combined influence of viscous dissipation and non-uniform heat source/sink on MHD non-Newtonian fluid flow with Cattaneo-Christov heat flux , 2017, Alexandria Engineering Journal.

[51]  J. E. Dunn,et al.  Fluids of differential type: Critical review and thermodynamic analysis , 1995 .

[52]  Ahmed Alsaedi,et al.  A framework for nonlinear thermal radiation and homogeneous-heterogeneous reactions flow based on silver-water and copper-water nanoparticles: A numerical model for probable error , 2017 .