Motile Microorganisms Research Articles

Significance of Weissenberg Number, Soret Effect and Multiple Slips on the Dynamic of Biconvective Magnetohydrodynamic Carreau Nanofuid Flow

This study focused on the analysis of two-dimensional incompressible magnetohydrodynamic Carreau nanofluid flow across a stretching cylinder containing microorganisms with the impacts of chemical reactions and multiple slip boundary conditions. Moreover, the main objective is concerned with the enhancement of thermal transportation with the effect of heat source and bioconvection. By assigning pertinent similarity transitions to the governing partial differential equations, a series of equations (ODES) is generated. An optimum computational solver, namely the bvp5c software package, is utilized for numerical estimations. The impact of distinct parameters on thermal expansion, thermophoresis, and the Nusselt number has been emphasized, employing tables, diagrams, and surface maps for both shear thinning (n < 1) and shear thickening (n > 1) instances. Motile concentration profiles decrease with Lb and the motile microorganism density slip parameter. It is observed that with increasing values of Pr, both the boundary layer thickness and temperature declined in both cases. The Weissenberg number demonstrates a different nature depending on the type of fluid; skin friction, the velocity profile and Nusselt number drop when n < 1 and increase when n > 1. The two- and three-dimensional graphs show the simultaneous effect of involving parameters with physical quantities. The accuracy of the existing observations is evidenced by the impressive resemblance between the contemporary and preceding remedies.

Heat and mass transmission in a boundary layer flow due to swimming of motile gyrotactic microorganisms with variable wall temperature over a flat plate

Nanotechnology can significantly revolutionize several industries and technology domains, such as homeland security, food safety, information technology, healthcare, energy, transportation, and environmental research. Thus, a numerical study of boundary layer flow on a moving horizontal flat plate filled with nanofluid with variable temperature at the wall and viscous dissipation in the presence of gyrotactic microorganisms is presented. The partial differential equations governing flow phenomena are transformed into ordinary differential equations with the aid of appropriate similarity transformations. The transformed ordinary differential equations are solved numerically with the help of the built-in BVP4C scheme of MATLAB. After the validation of the scheme, numerical solutions are determined for the temperature, nanoparticle concentration, and motile microorganism profiles, along with physical quantities of interest. The outcomes of physical factors such as the variable temperature index, Prandtl number, Eckert number, Lewis number, Peclet number, plate moving parameter, thermophoresis motion, and Brownian parameters are examined and reported through graphs and tables. From the tables, it is clear that skin friction = 0 when the velocity parameter = 1, which shows that there is no resistance at the fluid-solid surface. It is concluded that by increasing the variable temperature, the temperature gradient rises, because of which the thickness of the thermal boundary layer reduces. Finally, more innovations are inevitable with the advancement of this interdisciplinary science. Moreover, the current investigation may help to efficiently enhance the viscosity, thermal conductivity, thermal diffusivity, and convective heat transmission linked to those base fluids, such as water and oil.

Numerically analysis of Marangoni convective flow of hybrid nanofluid over an infinite disk with thermophoresis particle deposition

This study discusses the flow of hybrid nanofluid over an infinite disk in a Darcy–Forchheimer permeable medium with variable thermal conductivity and viscosity. The objective of the current theoretical investigation is to identify the thermal energy characteristics of the nanomaterial flow resulting from thermo-solutal Marangoni convection on a disc surface. By including the impacts of activation energy, heat source, thermophoretic particle deposition and microorganisms the proposed mathematical model becomes more novel. The Cattaneo-Christov mass and heat flux law is taken into account when examining the features of mass and heat transmission rather than the traditional Fourier and Fick heat and mass flux law. MoS2 and Ag nanoparticles are dispersed in the base fluid water to synthesize the hybrid nanofluid. PDEs are transformed to ODEs by using similarity transformations. The RKF-45th order shooting method is used to solve the equations. With the use of appropriate graphs, the effects of a number of non-dimensional parameters on velocity, concentration, microorganism, and temperature fields are addressed. The local Nusselt number, density of motile microorganisms and Sherwood number are calculated numerically and graphically to derive correlations in terms of the relevant key parameters. The findings show that as we increase the Marangoni convection parameter, skin friction, local density of motile microorganisms, Sherwood number, velocity, temperature and microorganisms profiles increase, whereas Nusselt number and concentration profile exhibit an opposite behavior. The fluid velocity is reduced as a result of enhancing the Forchheimer parameter and Darcy parameter.

Multiple convected conditions in Williamson nanofluidic flow with variable thermal conductivity: Revised bioconvection model

The importance of bioconvection into the application of nanoparticles has had a significant impact on fundamental technological and industrial functions in recent years. These discussions are being carried forward by the bioconvection appearance on that flow by attracting nanoparticles into additional features on thermal radiation and activation energy. The investigation had been proposed on the appealing features of the mass and thermal convective boundary constraints. The high desirable subclass on rate-type fluid, especially Williamson fluid, was used to anticipate the absolute rheological parameters. The designated partial differential system was modified along with nonlinear ordinary differential equations applying enhance being related conversion, the designated partial differential system was modified along nonlinear ordinary differential equations. The governing equations are interpreted into ordinary differential equations, and in the following, shooting process was obeyed to build up the mathematical classification on the convert dimensionless flow problem. This value of physical restraint was displayed on the table and plots tests. This noted theoretical imitation could be highly successful in improving the solar energy systems and thermal extrusion processes. The outcomes reported that the rise in Weissenberg number and Hartmann number decreased the nanoparticles velocity distribution. The progressing temperature distribution was observed to develop radiation parameter and thermal conductivity parameter. That was further noted to modify bioconvection Lewis number and Peclet number that were reduced into motile microorganism distribution effectively.

Three-dimensional analysis of motile-microorganism and heat transportation of viscoelastic nanofluid with nth order chemical reaction subject to variable thermal conductivity

The most important condition of modern industrial activities is excellent refrigeration performance for conventional buildings. The Buongiorno relation assessment identifies nanofluid's thermal and mass efficiency, which inspires us to specify different properties of random motion and thermophoretic diffusion. Non-Newtonian nanofluids are used in a variety of fields, including thermal exchangers, solar liquid boiler, and heat control in vehicles. Nanoparticles can significantly enhance a fluid's thermal conductivity and heat transfer properties. This makes nanofluids attractive in cooling systems for electronic devices, such as computer chips and LED lights, and in various industrial applications where efficient heat transfer is important. The proposed thermos-electric system depends on nanomaterial heat flow, fractional volume of nanomaterial, density, and motile microorganisms. Because of their numerous applications, ferromagnetic nanoparticles have become extremely popular in biotechnology. Numerous mathematical and technical constraints are considered to generate more useful data. Using the shooting scheme, evaluating numerically by MATLAB function bvp4c to transform expressions. Some observations about the bio-convection procedure its different exclusive characteristics are elaborated in the literature. The graphs show how multiple flows influence non-dimensional quantities. The present theoretical model could be applied to engineering methods, heat transfer improvements, and thermal energy.

Analysis of bioconvection and oxytactic microorganisms in a porous cavity with nano-enhanced phase change materials and quadrant heater: Application of support vector regression based model

In this numerical study, two-dimensional simulations are performed to obtain the bioconvection flow in a quadrant heater located porous closed space saturated with nano-enhanced phase change material (NePCM). The Galerkin finite element method (GFEM) is employed to compute the governing equations for the considered system by developing a computer code. The study is performed for wide range of parameters as aspect ratio, Darcy number, Hartmann number, nanoparticle fraction, bioconvection Rayleigh number and natural convection Rayleigh number were tested. Also, the analysis is supported via artificial intelligent by using multiple support vector regression based model. The tests were performed with artificial intelligence on temperature values. After the analysis, it is found that radius of the curvilinear shaped heater plays role on both heat transfer and fluid flow, oxygen distribution, density of motile microorganism and heat capacity. Application of support vector machine technique gives good agreement with computational fluid dynamics results. Heat and mass transfer are improved with increasing of nanoparticle addition but decrease with increasing of strength of magnetic field.

Computation of swirling hydromagnetic nanofluid flow containing gyrotactic microorganisms from a spinning disk to a porous medium with hall current and anisotropic slip effects

AbstractPrompted by the advancements in hybrid bio‐nano‐swirling magnetic bioreactors, a mathematical model for the swirling flow from a rotating disk bioreactor to a magnetic fluid saturating a porous matrix and containing nanoparticles and gyrotactic micro‐organisms has been developed. An axial magnetic field is administered which is perpendicular to the disk and Hall currents are included. The disk is assumed to be impervious and stretches in the radial direction with a power‐law velocity. The Buongiorno nanoscale, Kuznetsov bioconvection and Darcy porous media models are deployed. Anisotropic momentum, thermal, nanoparticle concentration and motile micro‐organism slip effects are incorporated. Stefan blowing is also simulated. The governing conservation equations are transformed with appropriate variables to ordinary nonlinear differential equations. MATLAB bvp4c shooting quadrature is used to solve the emerging nonlinear, coupled ordinary differential boundary value problem under transformed boundary conditions. Verification with earlier solutions for the non‐magnetic Von Karman bioconvection nanofluid case is conducted. Further validation of the general magnetic model is conducted with the Adomian decomposition method (ADM). Extensive visualization of velocity, temperature, nanoparticle concentration and motile microorganism density number profiles is presented for the impact of various parameters including magnetic interaction parameter, Hall current parameter, Darcy number, momentum slip, thermal slip, nanoparticle slip and microorganism slip. Computations are also performed for skin friction, Nusselt number, Sherwood number and motile micro‐organism density number gradient. The simulations provide a useful benchmark for further studies.

Exploring the Impact of Nanomaterials on Heat- and Mass-Transfer Properties of Carreau-Yasuda Fluid with Gyrotactic Bioconvection Peristaltic Phenomena

This research aims to investigate the impact of nanomaterials on the heat and mass transfer properties of fluids, with a particular focus on exploring the bioconvection phenomena. To achieve this, the study considers Carreau-Yasuda (CY) fluid, which is known for its shear thickening and thinning nature. The effects of a porous medium, radiation, and viscous dissipation are also considered to analyze heat-transfer rates. Velocity and thermal slip constraints are applied to the wall, while zero-mass flux conditions explain the concentration behavior of nanomaterials at the wall. The governing equations and conditions are simplified using a lubrication approach, and a numerical approach is used to solve the final equations with the help of constraints. The velocity, temperature, and concentration of nanomaterials and gyrotactic microorganisms are analyzed through graphs. The study finds that increasing the thermophoresis parameter leads to an increase in the concentration of nanomaterials. However, the opposite trend is noticed for the concentration of motile microorganisms. The results suggest that the addition of nanomaterials to fluids can significantly impact heat- and mass-transfer properties, and may have implications for biological processes.

Nanofluid containing motile gyrotactic microorganisms squeezed between parallel disks

Advanced nano and microtechnologies for nano/micro-electronic devices have made substantial advances in the past few years. These technologies are rapidly incorporating advanced fluid media such as nanofluids and biological microorganisms. Inspired by bio-nanofluid applications in medicine, biological systems and biotechnology in the present study, mathematical model is evolved for unsteady bio convective conducting nanofluid along with gyrotactic micro-organisms squeezed between parallel disks. The lower disk and upper disks are solids. The temperature field is improved by the methods of haphazard motion of nanoparticles and thermophoresis parameters. The nano-bio transfer model is written as a series of non-linear partial differential equations that are reduced into a set of ordinary differential equations using suitable transforms. The dimensionless problem is then numerically solved by RK-4th order scheme utilizing MATLAB bvp4c solver’s package to investigate the impact of the squeezing parameter, Hartman number, Brownian motion and thermophoresis parameter on motile microorganism velocity, temperature, nanoparticle concentration, and density. The friction factor, Nusselt number, Sherwood number and microorganism number distributions on Hartman number, thermophoresis and Brownian motion factors are also computed. The Brownian motion and the thermophoresis factors of nanoparticles cause an increment in temperature profiles for both suction and injection. The concentration and motile microorganism are both amplified for the Brownian parameter in the case of injection, whereas they are declined for suction and the opposite trend is observed for the thermophoresis parameter. The motile microorganism is deflated for both suction and injection with thermophoresis parameter. Suction and injection adversely affect the transfer properties at the disks. The resistive magnetic body force prevails in the core zone, resulting in a decrease in velocity. The heat generation in squeeze films with motile microorganisms can be successfully removed with magnetic nanoparticles which require a longer serviceability of the lubrication system, bio-medical systems and need for less maintenance and a longer lifespan approach. The finding is pertinent to novel bio-microsystems that combine nanofluid and the bioconvection phenomenon. The percentage increase in heat, mass, and microorganism transport rates is calculated.

Chemical reactions and heat generation influence on mixed convection flow with gyrotactic microorganisms over a non-isothermal horizontal surface

The goal of this research is to look at two dimensional steady free forced convective flows through a horizontal surface surrounded by a permeable medium with exponential decaying heat generation and chemical reaction. For describing non–isothermal phenomena power law exponent has been considered in boundary conditions. By imposing appropriate transformations, the nonlinear partial differential equations driving the flow, temperature, concentration, and microbe fields are reduced to a system of ordinary differential equations and numerically solved by MATLAB 14.0. Excellent compatibility has been discovered between our optimized results and the already-published literature when compared for validation. The velocity, temperature, concentration, and microbe profiles are reduced by the power law exponent, which shows fluctuation in wall temperature and concentrations. Lewis parameter Le has a significant impact on concentration. The bioconvection peclet number Pe and the Lewis parameter Lb both significantly affect the profile of microorganisms. The influence of internal heat generation and chemical reaction can cause heat and mass transfer rates to increase, but slow down the transfer rate of motile microorganisms. For regions of forced convection, all flow profiles and flow transfer rates increase whereas they drop for regions of pure mixed convection.

Analysis of free and forced convections in the flow of radiative viscous fluid with oxytactic microorganisms

The prime intend behind the current effort is to explicate flow attributes of magnetically influenced Newtonian fluids toward a stretchable sheet under the novel physical impact of oxytactic microorganisms in a comparative manner for free and forced convections. In addition, modified Fourier and Fick’s laws are implemented to examine the change in temperature and concentration distributions in a more realistic manner by accounting thermal and mass relaxation parameters in the flow. The obtained PDEs are reduced into the non-linear ODEs by employing similarity variables. Due to the complexity of parametrically based differential equations, a numerical scheme based on a finite-difference approach is implemented via the MATLAB built-in routine known as BVP4C. Flow-controlling parameter effects on associated distributions are evaluated through graphs and tables. Subsequently, the influence of flow-controlling parameters on associated distributions is revealed through pictures in a comparative manner for different convection regimes. Additionally, the quantities such as heat and mass fluxes along with the density of motile microorganisms are also illustrated. From the thorough analysis of the current investigation, it is inferred that velocity distribution enhances for free and forced convections, whereas the temperature of the fluid diminishes against the mentioned convective regimes. It is manifested that the Nusselt number is more in the situation of free convection instead of the forced convection situation. The magnitude of the skin friction factor is more in case of free convection as compared to the forced convection regime. It is also reported that by uplifting the magnitudes of concentration and thermal relaxation parameters, depreciation in associated heat and mass transfer rate arises. In addition, it is also reported that with the increment in the magnetic field, buoyancy ratio, bioconvection parameters, and Rayleigh number skin friction accelerate, while the behavior is quite opposite in case of stretching the ratio parameter.

Computational analysis of MHD Cross nanofluid containing gyrotactic microorganisms over a permeable horizontal cylinder through a porous medium in presence of thermal radiation and chemical reaction

In the current work, mathematical analysis of bioconvective heat and mass transfer in generalized fluid containing nanoparticles and motile gyrostatic microorganisms over a permeable horizontal cylinder embedded in a porous medium is investigated in the existence of chemical reaction, thermophoresis, and Brownian motion. Moreover, the influence of thermal radiation and magnetic field is considered. The temperature, concentration of nanoparticles, and density of microorganisms at the cylinder surface are considered nonlinear variations. The governing equations are transformed into nondimensional forms containing a set of bio-convection parameters. The transformed equations are solved numerically by a computational method composed of the finite difference technique and Newton’s linearization scheme. The computational results are validated by comparisons of some special cases of the present work with previously reported results in the literature, and an excellent agreement is obtained. The impact of included parameters is discussed and performed in graphs and tabular forms. The present study revealed that the increment in the Brownian motion leads to accelerating the velocity but reducing the temperature and the concentrations of nanoparticles and microorganisms. On the contrary, the thermophoresis force and magnetic field have the opposite effect of Brownian motion. Moreover, the rise in thermal radiation increases in velocity and temperature distributions but the opposite result occurs for nanoparticles and microorganisms concentrations. It is noticed that many important phenomena can be determined by the parameters included in the current study; therefore it has significant applications in various fields such as polymerization, petroleum industries, biotechnology, and biomedicine as in medical imaging and medicinal therapy.

Finite difference analysis of power-law nanofluid with thermal radiation and bioconvection

In this paper, we study bioconvection radiative flow of power-law nanofluid. Nanofluid characteristics are incorporated by utilizing the Buongiorno model. The influence of motile gyrotactic microorganism is retained. Magnetohydrodynamics and time-dependent aspects are under consideration. Related governing expressions are transformed into dimensionless partial differential system. The resulting nonlinear system is tackled through finite difference technique. Outcomes of emerging variables like Prandtl number, Hartmann number, Buoyancy ratio parameter, Grashof number, Peclet number, bioconvection Rayleigh number, Peclet number, radiation and Schmidt number are graphically discussed. Velocity is controlled by higher Hartman number while it boosts against higher Grashof and bioconvection Rayleigh numbers, buoyancy ratio and stretching parameters. Higher radiation, Brownian and thermophoresis parameters lead to intensification in temperature profile while it reduces for higher Prandtl number. Bioconvection profile reduces against higher Peclet and Lewis numbers.

Bio-Marangoni convection of Maxwell nanofluid over an inclined plate in a stratified Darcy–Forchheimer porous medium

The work highlights the bioconvective transport phenomena of gyrotactic microorganisms in Maxwell nanofluid passing over an inclined plate enclosed in Darcy–Forchheimer porous medium. The medium is stratified in terms of heat, mass, and motile density gradient and under the influence of an inclined magnetic field. The physical situation is well described by means of governing partial differential equations. Under some capable similarity transformations, the governing equations are remodeled into the system of ordinary differential equations and worked out numerically using Runge–Kutta–Fehlberg technique. The consequences of pertinent flow properties on temperature, nanoparticle volume fraction, and motile microorganisms density distributions are illustrated graphically. Also, the main curiosity is focused to realize the changes in important quantities of engineering interest owing to the alteration in crucial parameters. It is revealed that the dominancy of the Marangoni ratio and Maxwell fluid parameter on motile microorganism gradient accelerates with a higher magnetic effect. Further, the thermophoretic effect plays a remarkable role in the reduction of motile microorganism transport with a smaller Brownian motion effect.

Ternary Hybrid Nanofluid Flow Containing Gyrotactic Microorganisms over Three Different Geometries with Cattaneo–Christov Model

The movement of microorganism cells in fluid influences various biotic processes, including septicity and marine life ecology. Many organic and medicinal applications need to look into the insight of mechanism in nanofluids containing a microbial suspension. The current paper concerns the bioconvection of a ternary hybrid nanofluid (Al2O3-Cu-CNT/water) flow containing motile gyrotactic microorganisms toward three different geometries (a flat plate, a wedge, and a cone) in the occurrence of natural convection, radiation, and heat source/sink. The Cattaneo–Christov theory is employed to develop the model. The equations are solved by using the “bvp4c function in MATLAB”. The influence of the crucial significant factors on the motile microorganisms’ density, velocity, temperature, nanoparticles’ concentration, microbe density gradient, and transmission rates of heat and mass is discussed. The results depict that the heat transmission rate is highest for the flow toward the cone, whereas the mass transmission rate and microbe density gradient are highest for the flow toward the wedge. In addition, the higher estimates of the thermal relaxation parameter corresponding to the Cattaneo–Christov theory act to enhance the rate of heat transmission. The results of the current study will be useful to many microbial-enhanced oil recovery systems, carriage processes, architectural design systems, medicinal fields that utilize nanofluids, and so on.

Theoretical study on bio-convection of micropolar fluid with an exploration of Cattaneo–Christov heat flux theory

This research explores the heat transfer rate for micropolar fluid in a channel flow. In spite of formal Fourier’s law, the Cattaneo–Christov heat flux design is implemented in energy system. Using appropriate dimensionless parameters, the guiding coupled partial differential equations that represent the fluid flow are modified into ordinary differential equations. By executing Runge–Kutta integration procedure and the shooting method, the numerical results are achieved. The impacts of thermal relaxation time and bio-convection flow of micropolar fluid are examined in this assessment. Graphical analyses are used to assess the effects of physical factors for the momentum, micro-rotation, concentration, density of micro-organisms and temperature gradient. The skin friction values, motile density number, heat and mass transfer rate are the fascinating physical quantities whose numerical data are computed and validated against different parametric values. The variational iteration method (VIM) and Adomian decomposition method are the analytical modules which have been incorporated here for solving the nonlinear systems for showing better approximity. It is found from the study that larger the thermal relaxation time values, the more likely they are to increase heat transfer, hence lowering the fluid temperature. Moreover, both Fourier and Cattaneo–Christov heat conduction module exhibit qualitatively similar influence on embedded parameters also the temperature profile diminishes for larger values of [Formula: see text]. The culminations evidently disclose that the bio-convection Peclet number and the motile microbes parameter enhance the density of motile micro-organisms. From a computational perspective, the VIM is more effective, practical and ease of use. The numerical and analytical results are compared well with the existing articles. The optimum parameter level for maximum heat transfer is considered to be [Formula: see text]. Taguchi approach was successfully used to determine the optimum design parameters for maximum heat transfer is 1.724012 for the parameters A-5:B-5:C-0.5:D-0.5:E-0.7.

Three Dimensional Modelling of Magnetohydrodynamic Bio-Convective Casson Nanofluid Flow with Buoyancy Effects Over Exponential Stretching Sheet Along with Heat Source & Gyrotactic Micro-Organisms

In current analysis, influence of buoyancy forces in MHD bioconvective non-Newtonian nanofluids over three dimensional exponential sheet has been studied numerically. Additionally, impact of heat source parameter along with convective conditions has been incorporated. Moreover, nanofluid flow with gyrotactic microorganisms has been analyzed in presence of chemical reaction. Initially similarity variables are used for the conversion of partial differential equations into highly non-linear differential equations. Thusly, non-linear behavior of equations makes typical solutions which are not solved analytically. So, computational MATLAB software is used to calculate results and graphs by following shooting algorithm with Runge Kutta Fehlberg technique using ODE45 solver. Present modeling investigates the influence of crucial fluid parameters especially; magnetic M (0.1 ≤ M ≤ 0.9), Casson parameter β (0.09 ≤ β ≤ 0.13), permeability parameter Bθ, Brownian motion Nb (0.5 ≤ Nb ≤ 5.0), thermophoresis Nt (0.2 ≤ Nt ≤ 2.0), thermal Biot number Bt (0.3 ≤ Bt ≤ 0.7), heat generation parameter Q (0.1 ≤ Q ≤ 0.5), Prandtl number Pr (0.1 ≤ Pr ≤ 0.9), concentration Biot number Bc (0.1 ≤ Bc ≤ 0.9), Lewis number Le (1 ≤ Le ≤ 5), chemical reaction parameter Ch (0.1 ≤ Ch ≤ 0.9), bioconvective Lewis number Lb (0.1 ≤ Lb ≤ 2), Peclet number Pe (0.1 ≤ Pe ≤ 5), gyrotactic Biot number Bn (0.1 ≤ Bn ≤ 0.5), stretching ratio parameter c (0.1 ≤ c ≤ 0.3) and microorganism concentration difference parameter Ω (0.1 ≤ Ω ≤ 5.0). Final results are compared for Prandtl number and stretching ratio parameter along with residual errors. It is inferred that motile concentration declines for larger bioconvective Lewis number whereas rises for motile gyrotactic microorganism Biot number.

Motile micro-organism based trihybrid nanofluid flow with an application of magnetic effect across a slender stretching sheet: Numerical approach

The steady magnetohydrodynamic ternary hybrid nanofluid flow over a slender surface under the effects of activation energy, Hall current, chemical reactions, and a heat source has been reported. A numerical model is developed to increase the rate of energy transfer and boost the efficiency and outcome of heat energy dissemination for a diverse range of biological applications and commercial uses. The rheological properties and thermal conductivity of the base fluids are improved by framing an accurate combination of nanoparticles (NPs). The ternary hybrid nanofluid has been prepared, in the current analysis, by the dispersion of magnesium oxide, titanium dioxide (TiO2), and cobalt ferrite (CoFe2O4) NPs in the base fluid. The physical phenomena have been expressed in the form of a system of nonlinear PDEs, which are degraded to a dimensionless system of ODEs through the similarity replacement and numerically solved by employing the MATLAB software package bvp4c. The graphical and tabular results are estimated for velocity, mass, and energy curves vs distinct physical factors. It has been noticed that the variation in the magnetic effect enhances the energy profile while the increasing number of ternary nanocomposites (MgO, TiO2, and CoFe2O4) in water lowers the energy curve. Furthermore, the effect of both Lewis and Peclet numbers weakens the motile microbe’s profile.

Significance of gyrotactic microorganism and bioconvection analysis for radiative Williamson fluid flow with ferromagnetic nanoparticles

Research on nanotechnology took interest of scientists as well as researchers because of its vast range of applications like curing cancer, medicines, aircraft manufacturing industry, use of nano-robot technology, bio-nano, heat exchanger instruments, used as coolants in engines of vehicles, microelectronics, water distillation, pharmaceutical procedures and rubber materials. Major purpose of this inspection is to examine the usefulness of radiation phenomena with magnetic effects micro-polar nanofluid by use of impermeable surface. The concept of microorganism’s notion is used to make suspended nano-particles stable by using effect of bioconvection influenced by synchronizing deliberation of suitable magnetic field. Since bioconvection is also an appealing research field for bioengineering and biotechnology, in recent year’s variety of bio-convection models are studied for production of microorganisms. The determination of current exploration is to compute the 2-dimensional flow of Williamson ferrofluid under the influence of magnetic dipole. Characteristics of Brownian motion parameter and thermophoresis diffusion for Williamson ferrofluid model apprehending the properties of convective boundary conditions, thermal motile as well as thermal gradients are considered. The system of nonlinear PDEs is transformed in form of ODEs with the help of apt transformations; additionally obtained ODEs are then solved with the help of bvp4c numerical scheme. Impacts of some important physical parameters are expressed pictorially. Results perceived that fluids temperature increases by increasing thermal radiation as well as thermophoresis parameter moreover shows declining behavior in case of Prandtl number. Moment of motile microorganism rises for larger δ1 and Pe whereas microorganism have opposite trend againstLb.

Magnetohydrodynamic Bioconvective Flow of Williamson Nanofluid over a Moving Inclined Plate Embedded in a Porous Medium

Research interest in nanotechnology is growing due to its diversified engineering and medical applications. Due to the importance of bioconvection in biotechnology and various biological systems, scientists have made significant contributions in the last ten years. The present study is focusing on the investigation of the magnetohydrodynamics (MHD) bioconvective heat transfer of a Williamson nanofluid past an inclined moving plate embedded in a porous medium. The partial differential equations governing the considered configuration are established, then transformed into ordinary differential equations using suitable similarity transformations. The variables corresponding to the velocity, temperature, nanoparticle volume fraction, and density of motile micro-organisms along with their gradients, are computed using the bvp4c-MATLAB built-in numerical solver. Results showed the rising of the buoyancy ration parameter leads to an increase in the flow velocity. It has been also observed that the flow intensity becomes more important with an increase in the Weissenberg number, and the opposite occurs with an increase in the bioconvective Rayleigh number. As an effect of the Brownian motion, a random fluid particle’s motion is encountered.