Transport of magnetohydrodynamic nanomaterial in a stratified medium considering gyrotactic microorganisms

Abstract Impact of gyrotactic microorganisms on two-dimensional (2D) stratified flow of an Oldroyd-B nanomaterial is highlighted. Applied magnetic field along with mixed convection is considered in the formulation. Theory of microorganisms is utilized just to stabilize the suspended nanoparticles through bioconvection induced by combined effects of buoyancy forces and magnetic field. Convergent series solutions for the obtained nonlinear differential systems are derived. Impacts of different emerging parameters on velocity, temperature, concentration, motile microorganisms density, density number of motile microorganisms and local Nusselt and Sherwood numbers are graphically addressed. It is observed that thermal, concentration and motile density stratification parameters result in reduction of temperature, concentration and motile microorganisms density distributions respectively.

[1]  Nilankush Acharya,et al.  Framing the effects of solar radiation on magneto-hydrodynamics bioconvection nanofluid flow in presence of gyrotactic microorganisms , 2016 .

[2]  Ioan Pop,et al.  Free convection boundary layer flow past a horizontal flat plate embedded in porous medium filled by nanofluid containing gyrotactic microorganisms , 2012 .

[3]  Y. Xuan,et al.  Investigation on Convective Heat Transfer and Flow Features of Nanofluids , 2003 .

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

[5]  Tasawar Hayat,et al.  On Cattaneo–Christov double diffusion impact for temperature-dependent conductivity of Powell–Eyring liquid , 2017 .

[6]  Andrey V. Kuznetsov,et al.  The onset of nanofluid bioconvection in a suspension containing both nanoparticles and gyrotactic microorganisms , 2010 .

[7]  N. Ali,et al.  Boundary layer flow of an Oldroyd-B fluid in the region of a stagnation point over a stretching sheet , 2010 .

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

[9]  Tasawar Hayat,et al.  The application of homotopy analysis method for MHD viscous flow due to a shrinking sheet , 2009 .

[10]  Mair Khan,et al.  Impact of nonlinear thermal radiation and gyrotactic microorganisms on the Magneto-Burgers nanofluid , 2017 .

[11]  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.

[12]  D. Srinivasacharya,et al.  Non-similar solution for natural convective boundary layer flow of a nanofluid past a vertical plate embedded in a doubly stratified porous medium , 2014 .

[13]  William W. Yu,et al.  ANOMALOUSLY INCREASED EFFECTIVE THERMAL CONDUCTIVITIES OF ETHYLENE GLYCOL-BASED NANOFLUIDS CONTAINING COPPER NANOPARTICLES , 2001 .

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

[15]  Zafar Hayat Khan,et al.  MHD boundary layer flow of a nanofluid containing gyrotactic microorganisms past a vertical plate with Navier slip , 2014 .

[16]  M. Sulaiman,et al.  Gyrotactic bioconvection flow of a nanofluid past a vertical wavy surface , 2016 .

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

[18]  Mohammad Mehdi Rashidi,et al.  Numerical simulation of natural convection of the nanofluid in heat exchangers using a Buongiorno model , 2015, Appl. Math. Comput..

[19]  T. Hayat,et al.  Rotating flow of Oldroyd-B fluid over stretchable surface with Cattaneo – Christov heat flux: Analytic solutions , 2017 .

[20]  Shijun Liao,et al.  Homotopy Analysis Method in Nonlinear Differential Equations , 2012 .

[21]  Tasawar Hayat,et al.  Diffusion of chemically reactive species in third grade fluid flow over an exponentially stretching sheet considering magnetic field effects , 2017 .

[22]  Tasawar Hayat,et al.  Behavior of stratification phenomenon in flow of Maxwell nanomaterial with motile gyrotactic microorganisms in the presence of magnetic field , 2017 .

[23]  Oluwole Daniel Makinde,et al.  The effect of double stratification on boundary-layer flow and heat transfer of nanofluid over a vertical plate , 2013 .

[24]  Ali J. Chamkha,et al.  Soret and Dufour effects on MHD convective flow of Al2O3–water and TiO2–water nanofluids past a stretching sheet in porous media with heat generation/absorption , 2016 .

[25]  Mohsen Sheikholeslami,et al.  Convective flow of nanofluid inside a lid driven porous cavity using CVFEM , 2017 .

[26]  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.

[27]  Tasawar Hayat,et al.  Doubly stratified mixed convection flow of Maxwell nanofluid with heat generation/absorption , 2016 .

[28]  S. Ganesan,et al.  A three-field local projection stabilized formulation for computations of Oldroyd-B viscoelastic fluid flows , 2017 .

[29]  W. Khan,et al.  MHD nanofluid bioconvection due to gyrotactic microorganisms over a convectively heat stretching sheet , 2014 .

[30]  T. Hayat,et al.  Melting heat transfer and double stratification in stagnation flow of viscous nanofluid , 2017 .

[31]  T. Hayat,et al.  Local similar solution of MHD stagnation point flow in Carreau fluid over a non-linear stretched surface with double stratified medium , 2017 .

[32]  Tasawar Hayat,et al.  Magnetohydrodynamic (MHD) stratified bioconvective flow of nanofluid due to gyrotactic microorganisms , 2017 .

[33]  Oluwole Daniel Makinde,et al.  Hydromagnetic bioconvection of nanofluid over a permeable vertical plate due to gyrotactic microorganisms , 2014 .

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

[35]  M. Turkyilmazoglu Flow of nanofluid plane wall jet and heat transfer , 2016 .

[36]  Min Zhang,et al.  Flow and heat transfer of an Oldroyd-B nanofluid thin film over an unsteady stretching sheet , 2016 .

[37]  H. Masuda,et al.  ALTERATION OF THERMAL CONDUCTIVITY AND VISCOSITY OF LIQUID BY DISPERSING ULTRA-FINE PARTICLES. DISPERSION OF AL2O3, SIO2 AND TIO2 ULTRA-FINE PARTICLES , 1993 .

[38]  T. Hayat,et al.  Outcome of homogeneous and heterogeneous reactions in Darcy-Forchheimer flow with nonlinear thermal radiation and convective condition , 2017 .

[39]  Tasawar Hayat,et al.  Numerical simulation for magneto Carreau nanofluid model with thermal radiation: A revised model , 2017 .

[40]  Mohsen Sheikholeslami,et al.  Lattice Boltzmann method simulation for MHD non-Darcy nanofluid free convection , 2017 .

[41]  Ahmed Alsaedi,et al.  Nanofluid flow due to rotating disk with variable thickness and homogeneous-heterogeneous reactions , 2017 .

[42]  Z. Abbas,et al.  Natural convection in square cavity filled with ferrofluid saturated porous medium in the presence of uniform magnetic field , 2017 .

[43]  Mair Khan,et al.  Numerical analysis of unsteady 3D flow of Carreau nanofluid with variable thermal conductivity and heat source/sink , 2017 .

[44]  M. Irfan,et al.  An improved heat conduction and mass diffusion models for rotating flow of an Oldroyd-B fluid , 2017 .

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

[46]  B. J. Gireesha,et al.  Nonlinear radiative heat transfer in MHD three-dimensional flow of water based nanofluid over a non-linearly stretching sheet with convective boundary condition , 2016 .

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

[48]  Mohammad Mehdi Rashidi,et al.  Lie Group Solution for Free Convective Flow of a Nanofluid Past a Chemically Reacting Horizontal Plate in a Porous Media , 2014 .

[49]  Tasawar Hayat,et al.  Stratified flow of an Oldroyd-B nanoliquid with heat generation , 2017 .

[50]  Donald A. Nield,et al.  The onset of bio-thermal convection in a suspension of gyrotactic microorganisms in a fluid layer: Oscillatory convection , 2006 .