Bioconvection in Cross Nano-Materials with Magnetic Dipole Impacted by Activation Energy, Thermal Radiation, and Second Order Slip

Ferro liquids derive their magneto–viscous behavior from the suspended magnetic nanomaterial that enables tunable changes in temperature, as well as nano-structured fluid characteristics. A theoretical model that depicts the bioconvection flow of cross nanofluid with a magnetic dipole subjected to a cylindrical surface was developed and numerically solved. The model encountered nonlinear thermal radiation, activation energy, and second order slip. The flow equations were reduced and are presented in dimensionless forms, and they were solved numerically using the shooting technique, which is a built-in feature of MatLab. The model encountered symmetrical constraints for predicting velocity, temperature, concentration, and gyrotactic microorganism distribution and profiles. Moreover, the numerical values were computed for local Nusselt number, local Sherwood number, and motile density number against each physical parameter.

[1]  A. Aziz,et al.  Transport and heat transfer of time dependent MHD slip flow of nanofluids in solar collectors with variable thermal conductivity and thermal radiation , 2016 .

[2]  A. Kuznetsov,et al.  Nanofluid bioconvection in water-based suspensions containing nanoparticles and oxytactic microorganisms: oscillatory instability , 2011, Nanoscale research letters.

[3]  Mustafa Turkyilmazoglu,et al.  Single phase nanofluids in fluid mechanics and their hydrodynamic linear stability analysis , 2019, Comput. Methods Programs Biomed..

[4]  Mohammad Mainul Hoque,et al.  Radiative flow of Casson fluid over a moving wedge filled with gyrotactic microorganisms , 2017 .

[5]  R. E. Rosensweig,et al.  Heating magnetic fluid with alternating magnetic field , 2002 .

[6]  Sami Ullah Khan,et al.  A Theoretical Analysis for Mixed Convection Flow of Maxwell Fluid between Two Infinite Isothermal Stretching Disks with Heat Source/Sink , 2019, Symmetry.

[7]  M. M. Cross Rheology of non-Newtonian fluids: A new flow equation for pseudoplastic systems , 1965 .

[8]  Hassan Waqas,et al.  A Numerical Exploration of Modified Second-Grade Nanofluid with Motile Microorganisms, Thermal Radiation, and Wu's Slip , 2020, Symmetry.

[9]  Jure Ravnik,et al.  NanoRound: A benchmark study on the numerical approach in nanofluids' simulation , 2019, International Communications in Heat and Mass Transfer.

[10]  P. K. Kameswaran,et al.  Gyrotactic Microorganism Effects on Mixed Convective Nanofluid Flow Past a Vertical Cylinder , 2019, Journal of Thermal Science and Engineering Applications.

[11]  A. Minea A Review on Electrical Conductivity of Nanoparticle-Enhanced Fluids , 2019, Nanomaterials.

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

[13]  Hassan Waqas,et al.  Utilization of Second Order Slip, Activation Energy and Viscous Dissipation Consequences in Thermally Developed Flow of Third Grade Nanofluid with Gyrotactic Microorganisms , 2020, Symmetry.

[14]  M. Mohammadpourfard,et al.  Two-phase mixture model simulation of the hydro-thermal behavior of an electrical conductive ferrofluid in the presence of magnetic fields , 2012 .

[15]  A. Khan,et al.  Impact of an oblique stagnation point on MHD micropolar nanomaterial in porous medium over an oscillatory surface with partial slip , 2019, Physica Scripta.

[16]  S. Khan,et al.  Brownian movement and thermophoretic aspects in third-grade nanofluid over oscillatory moving sheet , 2019, Physica Scripta.

[17]  I. Tlili,et al.  Activation Energy and Second Order Slip in Bioconvection of Oldroyd-B Nanofluid over a Stretching Cylinder: A Proposed Mathematical Model , 2019 .

[18]  Sami Ullah Khan,et al.  Novel Numerical Computations on Flow of Nanoparticles in Porous Rotating Disk with Multiple Slip Effects and Microorganisms , 2019, Journal of Nanofluids.

[19]  P. Thounthong,et al.  Exploration of temperature dependent thermophysical characteristics of yield exhibiting non-Newtonian fluid flow under gyrotactic microorganisms , 2019, AIP Advances.

[20]  M. J. Uddin,et al.  MHD Free Convective Boundary Layer Flow of a Nanofluid past a Flat Vertical Plate with Newtonian Heating Boundary Condition , 2012, PloS one.

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

[22]  Noreen Sher Akbar,et al.  Magnetic field analysis in a suspension of gyrotactic microorganisms and nanoparticles over a stretching surface , 2016 .

[23]  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 .

[24]  V. S. Pandey,et al.  3D Bioconvective multiple slip flow of chemically reactive Casson nanofluid with gyrotactic micro-organisms , 2019, Heat Transfer-Asian Research.

[25]  A. Rashad,et al.  Natural bioconvection flow of a nanofluid containing gyrotactic microorganisms about a truncated cone , 2019, European Journal of Mechanics - B/Fluids.

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

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

[28]  Mair Khan,et al.  Numerical simulation for solar energy aspects on unsteady convective flow of MHD Cross nanofluid: A revised approach , 2019, International Journal of Heat and Mass Transfer.

[29]  Anas M. Alwatban,et al.  Interaction of Wu’s Slip Features in Bioconvection of Eyring Powell Nanoparticles with Activation Energy , 2019 .

[30]  Constantin Fetecau,et al.  Natural Convection Flow of Fractional Nanofluids Over an Isothermal Vertical Plate with Thermal Radiation , 2017 .

[31]  M. Turkyilmazoglu Cooling of Particulate Solids and Fluid in a Moving Bed Heat Exchanger , 2019, Journal of Heat Transfer.

[32]  Sami Ullah Khan,et al.  Theoretical analysis of tangent hyperbolic nanoparticles with combined electrical MHD, activation energy and Wu’s slip features: a mathematical model , 2019, Physica Scripta.

[33]  Hassan Waqas,et al.  Significance of Bioconvective and Thermally Dissipation Flow of Viscoelastic Nanoparticles with Activation Energy Features: Novel Biofuels Significance , 2020, Symmetry.

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

[35]  Kamel Al-khaled,et al.  Chemically reactive bioconvection flow of tangent hyperbolic nanoliquid with gyrotactic microorganisms and nonlinear thermal radiation , 2019, Heliyon.

[36]  A. Zeeshan,et al.  Effects on heat transfer of multiphase magnetic fluid due to circular magnetic field over a stretching surface with heat source/sink and thermal radiation , 2017 .

[37]  Ahmed Alsaedi,et al.  Modeling and analysis for magnetic dipole impact in nonlinear thermally radiating Carreau nanofluid flow subject to heat generation , 2019, Journal of Magnetism and Magnetic Materials.