Numerically framing the features of second order velocity slip in mixed convective flow of Sisko nanomaterial considering gyrotactic microorganisms

Abstract Here peristalsis of Sisko nanoliquid with gyrotactic microorganism in a curved channel is investigated. Channel boundaries comprises the wall properties and second order slip conditions for velocity. Consideration of Newtonian heat, mass and gyrotactic microorganisms aspects characterizes the heat, mass and motile density transfer processes. Flow formulation is established utilizing constitutive relations of Sisko fluid. Lubrication theory is employed for the simplification of governing expressions. Further numerical solution is carried out for velocity, temperature, concentration and motile density gyrotactic microorganisms. The numerical solution is justified through graphical results. Graphical discussion determined that velocity has opposite behavior for first and second order velocity slip parameters. Interestingly Sisko fluid parameter has opposite impact on velocity for both shear thinning and shear thickening cases. It is seen that temperature enhances for Newtonian heating whereas concentration and gyrotactic microorganism reduces for Newtonian mass and Newtonian gyrotactic microorganisms.

[1]  Tasawar Hayat,et al.  The influence of wall properties on the MHD peristaltic flow of a Maxwell fluid with heat and mass transfer , 2010 .

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

[3]  Andrey V. Kuznetsov,et al.  Bio-thermal convection induced by two different species of microorganisms , 2011 .

[4]  Makoto Okabe,et al.  Two-Dimensional Peristaltic Flow in Curved Channels , 2000 .

[5]  Mohammad Mehdi Rashidi,et al.  Effect of non-uniform magnetic field on forced convection heat transfer of Fe3O4–water nanofluid , 2015 .

[6]  T. Chakraborty,et al.  Framing the impact of external magnetic field on bioconvection of a nanofluid flow containing gyrotactic microorganisms with convective boundary conditions , 2016 .

[7]  T. Hayat,et al.  Numerical study for MHD peristaltic transport of Sisko nanofluid in a curved channel , 2017 .

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

[9]  Aqsa,et al.  Rheology of polymeric liquid with heat and mass transfer: Dual numerical solutions , 2017 .

[10]  Zafar Hayat Khan,et al.  MHD pressure driven flow of nanofluid in curved channel , 2015 .

[11]  T. Hayat,et al.  MHD Peristaltic Flow in a Curved Channel with Convective Condition , 2017 .

[12]  R. Muthuraj,et al.  Influences of chemical reaction and wall properties on MHD Peristaltic transport of a Dusty fluid with Heat and Mass transfer , 2016 .

[13]  M. J. Uddin,et al.  Stefan blowing effect on bioconvective flow of nanofluid over a solid rotating stretchable disk , 2016 .

[14]  K. Vafai,et al.  Particulate suspension effect on peristaltically induced unsteady pulsatile flow in a narrow artery: Blood flow model. , 2017, Mathematical biosciences.

[15]  Oluwole Daniel Makinde,et al.  Magnetohydrodynamic peristaltic transport of Jeffrey nanofluid in an asymmetric channel , 2016 .

[16]  Mohammad Mehdi Rashidi,et al.  Effects of thermo-diffusion and thermal radiation on Williamson nanofluid over a porous shrinking/stretching sheet , 2016 .

[17]  Tasawar Hayat,et al.  Peristaltic Flow of a Magnetohydrodynamic Johnson–Segalman Fluid , 2005 .

[18]  N. Ali,et al.  Unsteady blood flow through a tapered stenotic artery using Sisko model , 2014 .

[19]  S. Weinberg,et al.  Peristaltic pumping with long wavelengths at low Reynolds number , 1968, Journal of Fluid Mechanics.

[20]  V. Narla,et al.  Peristaltic Transport of Jeffrey NanoFluid in Curved Channels , 2015 .

[21]  Tasawar Hayat,et al.  On the Rayleigh problem for a Sisko fluid in a rotating frame , 2009, Appl. Math. Comput..

[22]  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 .

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

[24]  S. Saleem,et al.  Numerical solutions of nanofluid bioconvection due to gyrotactic microorganisms along a vertical wavy cone , 2016 .

[25]  Tasawar Hayat,et al.  Mixed convection peristaltic motion of copper-water nanomaterial with velocity slip effects in a curved channel , 2017, Comput. Methods Programs Biomed..

[26]  Mohsen Sheikholeslami,et al.  Active method for nanofluid heat transfer enhancement by means of EHD , 2017 .

[27]  Soheil Sadeqi,et al.  Peristaltic Flow of Non-Newtonian Fluids through Curved Channels: a Numerical Study , 2013 .

[28]  Muhammad Mubashir Bhatti,et al.  Slip effects and endoscopy analysis on blood flow of particle-fluid suspension induced by peristaltic wave , 2016 .

[29]  Tasawar Hayat,et al.  Peristaltic transport of nanofluid in a compliant wall channel with convective conditions and thermal radiation , 2016 .

[30]  M. Gnaneswara Reddy,et al.  Influence of Joule Heating on MHD Peristaltic Flow of a Nanofluid with Compliant Walls , 2015 .

[31]  Mohamed Y. Abou-zeid.  Effects of thermal-diffusion and viscous dissipation on peristaltic flow of micropolar non-Newtonian nanofluid: Application of homotopy perturbation method , 2016 .

[32]  Masood ur Rahman,et al.  Mixed convection heat transfer to modified second grade fluid in the presence of thermal radiation , 2016 .

[33]  Rahmat Ellahi,et al.  Effects of heat and mass transfer on peristaltic flow in a non-uniform rectangular duct , 2014 .

[34]  T. Hayat,et al.  Influence of wall properties on the peristaltic flow of a nanofluid: Analytic and numerical solutions , 2012 .

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

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

[37]  Bin Chen,et al.  Hydromagnetic Hiemenz flow of micropolar fluid over a nonlinearly stretching/shrinking sheet: Dual solutions by using Chebyshev Spectral Newton Iterative Scheme , 2016 .

[38]  J. M. Floryan,et al.  Algorithm for analysis of peristaltic annular flows , 2017 .

[39]  Tasawar Hayat,et al.  Influence of variable viscosity and radial magnetic field on peristalsis of copper-water nanomaterial in a non-uniform porous medium , 2016 .

[40]  J. Prakash,et al.  Effect of radiation and magnetic field on peristaltic transport of nanofluids through a porous space in a tapered asymmetric channel , 2015 .

[41]  Tian Rui,et al.  Heat transfer property of SiO2/water nanofluid flow inside solar collector vacuum tubes , 2017 .

[42]  Hashim,et al.  A revised model to analyze the heat and mass transfer mechanisms in the flow of Carreau nanofluids , 2016 .

[43]  N. S. Gad.  Effects of hall currents on peristaltic transport with compliant walls , 2014, Appl. Math. Comput..

[44]  Dharmendra Tripathi,et al.  A study on peristaltic flow of nanofluids: Application in drug delivery systems , 2014 .

[45]  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.

[46]  M. A. Elogail,et al.  Hall effects on the peristaltic transport of Williamson fluid through a porous medium with heat and mass transfer , 2016 .

[47]  Rahmat Ellahi,et al.  Heat and mass transfer of two-phase flow with Electric double layer effects induced due to peristaltic propulsion in the presence of transverse magnetic field , 2017 .