Non-Newtonian nanoliquids thin-film flow through a porous medium with magnetotactic microorganisms

Gravity-driven non-Newtonian nanoliquids (Casson and Williamson) thin-film flow through a porous medium containing both nanoparticles and magnetotactic microorganisms is analyzed using passively controlled nanofluid model boundary conditions. Buongiorn’s nanofluid model is used. The thin bio-nanoliquid films contain the copper nanoparticles and magnetotactic microorganisms simulating the forced/free bioconvection in buoyancy-driven flow. The comparison between the role of both the thin nanoliquid films has carefully noticed and discussed the differences in behaviors in detail. The governing equations accompanying the boundary conditions of the problem are reduced to non-linear differential equations by applying particular transformations. These equations along with the boundary conditions are solved analytically by employing homotopy analysis method. The solution consists of the expressions of four different profiles, and with the help of different curves, these profiles are shown graphically and discussed for the impacts of each parameter.

[1]  C. Nathan,et al.  Sonication-assisted synthesis of polyelectrolyte-coated curcumin nanoparticles. , 2010, Langmuir : the ACS journal of surfaces and colloids.

[2]  Dingcai Wu,et al.  Mechanochemistry: A Green, Activation-Free and Top-Down Strategy to High-Surface-Area Carbon Materials , 2017 .

[3]  Ioan Pop,et al.  Mixed convection in gravity-driven nano-liquid film containing both nanoparticles and gyrotactic microorganisms , 2015 .

[4]  Z Asghar,et al.  Bacterial gliding fluid dynamics on a layer of non-Newtonian slime: Perturbation and numerical study. , 2016, Journal of theoretical biology.

[5]  Noor Saeed Khan,et al.  Flow and heat transfer in water based liquid film fluids dispensed with graphene nanoparticles , 2018 .

[6]  J. Kessler.  Gyrotactic Buoyant Convection and Spontaneous Pattern Formation in Algal Cell Cultures , 1984 .

[7]  N. M. Bujurke,et al.  Long series analysis of laminar flow through parallel and uniformly porous walls of different permeability , 1998 .

[8]  V. Torchilin,et al.  Converting poorly soluble materials into stable aqueous nanocolloids. , 2011, Langmuir : the ACS journal of surfaces and colloids.

[9]  I. L. Animasaun,et al.  Comparison between the flow of two non-Newtonian fluids over an upper horizontal surface of paraboloid of revolution: Boundary layer analysis , 2016 .

[10]  Ioan Pop,et al.  Mixed convection flow of a nanofluid over a stretching surface with uniform free stream in the presence of both nanoparticles and gyrotactic microorganisms , 2014 .

[11]  Noor Saeed Khan,et al.  Mixed convection in gravity-driven thin film non-Newtonian nanofluids flow with gyrotactic microorganisms , 2017 .

[12]  V. Torchilin,et al.  Top-down and bottom-up approaches in production of aqueous nanocolloids of low solubility drug paclitaxel. , 2011, Physical chemistry chemical physics : PCCP.

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

[14]  B. S. Dandapat,et al.  Gravity-driven film flow with variable physical properties , 2006 .

[15]  S. Adesanya.  Free convective flow of heat generating fluid through a porous vertical channel with velocity slip and temperature jump , 2015 .

[16]  Ying Tian,et al.  Carbon nanotube/polyurethane films with high transparency, low sheet resistance and strong adhesion for antistatic application , 2017 .

[17]  Noor Saeed Khan,et al.  Magnetohydrodynamic Nanoliquid Thin Film Sprayed on a Stretching Cylinder with Heat Transfer , 2017 .

[18]  R. V. Williamson.  The Flow of Pseudoplastic Materials , 1929 .

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

[20]  Noor Saeed Khan,et al.  Brownian Motion and Thermophoresis Effects on MHD Mixed Convective Thin Film Second-Grade Nanofluid Flow with Hall Effect and Heat Transfer Past a Stretching Sheet , 2017 .

[21]  L. Que,et al.  Composite nanomaterial thin film-based biosensors , 2010, 2010 IEEE Sensors.

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

[23]  N. Hill,et al.  Gyrotactic bioconvection in three dimensions , 2007 .

[24]  M. J. Uddin,et al.  NUMERICAL STUDY OF SLIP EFFECTS ON UNSTEADY ASYMMETRIC BIOCONVECTIVE NANOFLUID FLOW IN A POROUS MICROCHANNEL WITH AN EXPANDING/CONTRACTING UPPER WALL USING BUONGIORNO’S MODEL , 2017 .

[25]  S. Islam,et al.  Thin film flow of a second grade fluid in a porous medium past a stretching sheet with heat transfer , 2017, Alexandria Engineering Journal.

[26]  S. Islam,et al.  Thermophoresis and thermal radiation with heat and mass transfer in a magnetohydrodynamic thin-film second-grade fluid of variable properties past a stretching sheet , 2017 .

[27]  Dingcai Wu,et al.  Functional nanonetwork-structured polymers with inbuilt poly(acrylic acid) linings for enhanced adsorption , 2017 .

[28]  Noor Saeed Khan,et al.  Bioconvection in Second Grade Nanofluid Flow Containing Nanoparticles and Gyrotactic Microorganisms , 2018 .

[29]  V. Vergaro,et al.  Lapatinib/Paclitaxel polyelectrolyte nanocapsules for overcoming multidrug resistance in ovarian cancer. , 2012, Nanomedicine : nanotechnology, biology, and medicine.

[30]  E. Adebile,et al.  Casson fluid flow with variable thermo-physical property along exponentially stretching sheet with suction and exponentially decaying internal heat generation using the homotopy analysis method , 2016 .

[31]  M. J. Uddin,et al.  Bioconvective electromagnetic nanofluid transport from a wedge geometry: Simulation of smart electro-conductive bio-nanopolymer processing , 2018 .

[32]  Hiroshi Aoki,et al.  Unsteady flows in a semi-infinite contracting or expanding pipe , 1977, Journal of Fluid Mechanics.

[33]  Xing-Xing Zhang.  Tea and Cancer Prevention , 2015 .

[34]  Dingcai Wu,et al.  Preparation of versatile yolk-shell nanoparticles with a precious metal yolk and a microporous polymer shell for high-performance catalysts and antibacterial agents , 2018 .

[35]  R. B. Mefferd,et al.  Concerning Pattern Formation by Free-Swimming Microorganisms , 1952, The American Naturalist.

[36]  C. Ybert,et al.  Destabilization of a flow focused suspension of magnetotactic bacteria , 2016, 1602.02966.

[37]  G. Giannelli,et al.  Drug-loaded polyelectrolyte microcapsules for sustained targeting of cancer cells. , 2011, Advanced drug delivery reviews.