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Shape Effect of Nanoparticles on Nanofluid Flow Containing gyrotactic microorganisms

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Computer Modeling in Engineering & Sciences 2023年第1期134卷 483-494页

作者： Umair Rashid Azhar Iqbal Abdullah M.Alsharif School of Mathematical Sciences Jiangsu UniversityZhenjiang212013China Department of Mathematics and Natural Sciences Prince Mohammad Bin Fahd UniversityAl Khobar31952Saudi Arabia Department of Mathematics and Statistics College of ScienceTaif UniversityTaif21944Saudi Arabia

In this paper,we discussed the effect of nanoparticles shape on bioconvection nanofluid flow over the vertical cone in a permeable *** nanofluid contains water,Al2O3 nanoparticles with sphere(spherical)and lamina(non-spherical)shapes and motile *** phenomena of heat absorption/generation,Joule heating and thermal radiation with chemical reactions have been *** similarity transformations technique is used to transform a governing system of partial differential equations into ordinary differential *** numerical bvp4c MATLAB program is used to find the solution of ordinary differential *** interesting aspects of pertinent parameters on mass transfer,energy,concentration,and density of themotilemicroorganisms’profiles are computed and *** analysis depicts that the performance of sphere shape nanoparticles in the form of velocity distribution,temperature distribution,skin friction,Sherwood number and Motile density number is better than lamina(non-spherical)shapes nanoparticles.

关键词： Nanoparticle shape nanofluid numerical technique gyrotactic microorganisms magnetohydrodynamics

MHD Boundary Layer Flow of a Power-Law Nanofluid Containing gyrotactic microorganisms Over an Exponentially Stretching Surface

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Computers, Materials & Continua 2020年第2期62卷 525-549页

作者： Mohamed Abd El-Aziz A.M.Aly Department of Mathematics Faculty of ScienceKing Khalid UniversityAbha61411Saudi Arabia Department of Mathematics Faculty of ScienceHelwan UniversityHelwan-Cairo11795Egypt Department of Mathematics Faculty of ScienceSouth Valley UniversityQena83523Egypt

This study focusses on the numerical investigations of boundary layer flow for magnetohydrodynamic(MHD)and a power-law nanofluid containing gyrotactic microorganisms on an exponentially stretching surface with zero nanoparticle mass flux and convective *** nonlinear system of the governing equations is transformed and solved by Runge-Kutta-Fehlberg *** impacts of the transverse magnetic field,bioconvection parameters,Lewis number,nanofluid parameters,Prandtl number and power-law index on the velocity,temperature,nanoparticle volume fraction,density of motile microorganism profiles is *** addition,the impacts of these parameters on local skin-friction coefficient,local Nusselt,local Sherwood numbers and local density number of the motile microorganisms are *** results reveal that the power law index is considered an important factor in this *** to neglecting the buoyancy force term,the bioconvection and nanofluid parameters have slight effects on the velocity *** resultant Lorentz force,from increasing the magnetic field parameter,try to decrease the velocity profiles and increase the rescaled density of motile microorganisms,temperature and nanoparticle volume fraction ***,an augmentation of power-law index drops the reduced local skin-friction and reduced Sherwood number,while it increases reduced Nusselt number and reduced local density number of motile microorganisms.

关键词： Bioconvection gyrotactic microorganisms magnetohydrodynamic nanofluid boundary layer power-law

Numerical Study on 3D MHD Darcy-Forchheimer Flow Caused by gyrotactic microorganisms of the Bio-Convective Casson Nanofluid across a Stretched Sheet

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Frontiers in Heat and Mass Transfer 2024年第1期22卷 377-395页

作者： S.H.Elhag Department of Mathematics and Statistics College of ScienceTaif UniversityP.O.Box 11099Taif21944Saudi Arabia

A review of the literature revealed that nanofluids are more effective in transferring heat than conventional *** there are significant gaps in the illumination of existing methods for enhancing heat transmission in nanomaterials,a thorough investigation of the previously outlined models is *** goal of the ongoing study is to determine whether the microscopic gold particles that are involved in mass and heat transmission drift in *** current study examines heat and mass transfer on 3D MHD Darcy–Forchheimer flow of Casson nanofluid-induced bio-convection past a stretched *** inclusion of the nanoparticles is a result of their peculiar properties,such as remarkable thermal conductivity,which are important in heat exchangers and cutting-edge *** gyrotactic microorganisms must be included to prevent the potential deposition of minute *** proposed flow dynamics model consists of an evolving nonlinear system of PDEs,which is subsequently reduced to a system of dimensionless ODEs utilizing similarity *** software was utilized to create an effective code for the Runge-Kutta technique using a shooting tool to acquire numerical *** method is extensively used to solve these issues since it is accurate to fourth order,efficient,and *** influence of submerged factors on the velocity,temperature,concentration,and density of motile microorganisms is shown in the ***,tables and bar charts are used to illustrate the physical characteristics of the Nusselt and Sherwood numbers for the densities of both nanoparticles and motile *** dimensionless velocities are observed declining when the casson,magnetic,porosity,and forchheimer parameters grow,whereas the dimensionless temperature and concentration rise as the thermophoresis parameter *** work provides insights into practical applications such nanofluidic,energy conservation,friction reduction,and power

关键词： Casson fluid 3D stretching sheet convective conditions Darcy-Forchheimer Runge-Kutta-Fehlberg technique gyrotactic microorganisms

Insight into Dynamics of Hydromagnetic Flow of Micropolar Fluid Containing Nanoparticles and gyrotactic microorganisms at Weak and Strong Concentrations of Microelements: Homotopy Analysis Method

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American Journal of Computational Mathematics 2022年第2期12卷 267-282页

作者： Olubode Kolade Koriko Adeola John Omowaye Amos Oladele Popoola Tosin Oreyeni Abigail Ayooye Adegbite Emmanuel Abiodun Oni Emmanuel Omokhuale Muhammad Muhammad Altine Department of Mathematical Sciences Federal University of Technology Akure Akure Nigeria Department of Mathematical Sciences Osun State University Osogbo Nigeria Department of Physical Sciences Precious Cornerstone University Ibadan Nigeria Department of Pure and Applied Physics Ladoke Akintola University of Technology Ogbomosho Nigeria Department of Mathematical Sciences Federal University Gusau Gusau Nigeria Department of Mathematics Federal University Birnin Kebbi Kalgo Nigeria

The mathematical model of bioconvection flow of micropolar fluid through a vertical surface containing nanoparticles and gyrotactic microorganisms is presented in this study. In the study, weak and strong concentrations of microstructures are explored. In the energy and concentration equations, the Catteneo-Christov diffusion models are used to explain temperature and concentration diffusions with thermal and solutal relaxation durations, respectively. The governing equations describing the fluid flow are transformed and parameterized through similarity variables. The approximate analytical solution is obtained by using Homotopy Analysis Method (HAM). The impacts of relevant parameters on the various distributions are investigated and illustrated. It is discovered that increasing the value of the micropolar parameter results in an increase in the microrotation distribution for strong concentrations of microstructures while decreasing the microrotation distribution for weak concentrations of microstructures.

关键词： Micropolar Fluid Bioconvection gyrotactic microorganisms Nanofluid Homotopy Analysis Method

Biomathematical model for gyrotactic free-forced bioconvection with oxygen diffusion in near-wall transport within a porous medium fuel cell

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International Journal of Biomathematics 2020年第4期13卷 141-165页

作者： Nayema Islam Nima M.Ferdows O.Anwar Beg S.Kuharatt Faris Alzahranit Research Group of Fluid Flow Modeling and Simulation Department of Applied Mathematics University of Dhaka Dhaka-100Bangladesh Multi-Physical Engineering Sciences Group Aeronautical/Mechanical Engineering School of Science Engineering and Environment(SEE)University of SalfordManchesterUK

Bioconvection has shown significant promise for environmentally friendly,sustainable“green”fuel cell *** improved design of such systems requires continuous refinements in biomatheatical modeling in conjunction with laboratory and *** by exploring deeper the near-wall transport phenomena involved inbio-inspired fuel cells,in the present paper,we examine analytically and numericallythe combined free-forced convective steady boundary layer flow from a solid verticalflat plate embedded in a Darcian porous medium containing gyrotactic *** is one of the many taxes exhibited in biological microscale transport,andother examples include magneto-taxis,photo-taxis,chemotaxis and geo-taxis (reflecting the response of microorganisms to magnetic field,light,chemical concentration orgravity,respectively). The bioconvection fuel cell also contains difusing oxygen specicswhich mimics the cathodic behavior in a proton exchange membrane(PEM) *** wall is maintained at isosolutal (constant oxygen volume fraction and motilemicroorganism density) and iso-thermal conditions. Wall values of these quantities aresustained at higher values than the ambient temperature and concentration of oxygenand biological microorganism *** transformations are applied to renderthe governing partial differential equations for mass,momentum,energy,oxygen speciesand microorganism species density into a system of ordinary differential equations. Theemerging eight order nonlinear coupled,ordinary differential boundary value problemfeatures several important dimensionless control parameters,namely Lewis number(Le),buoyancy ratio paraneter i.e. ratio of oxygen species buoyancy force to thermal buoy-ancy force(Nr), bioconvection Rayleigh number(Rb), bioconvection Lewis number(Lb),bioconvection Peclet number(Pe) and the mixed convection parameter(e) spanning theentire range of free and forced convection. The transformed nonlinear sys

关键词： Bioconvection gyrotactic microorganisms oxygen diffusion buoyancy Lewis number boundary layers fuel cells numerical solution Nusselt nurnber Sherwood number