Micropolar Nanofluid Research Articles

Numerical Analysis of Micro-Rotation Effect on Nanofluid Flow for Vertical Riga Plate

The investigation of heat and mass transport properties of the flow is a key research area in mathematics, physics, engineering, and computer science. This article focuses on studying the heat and mass transport phenomenon for micropolar nanofluid flow generated by a vertical stretching Riga plate. It is assembled by including a spanwise-aligned array of alternating electrodes and permanent magnets. This technique produces electromagnetic hydrodynamic behavior in flow. Our aim for this article is to examine the influences of Brownian motion and thermophoresis on a Riga plate. We also explore the micro-rotational effects of the particles. The flow behavior of the modeled problem has also been computed numerically and presented by the graph. It is verified that the numerical computations show a good approval with the reported earlier studies. The velocity profile is computed and presented by the graph, which shows direct correspondence with the modified Hartmann number. We also show that energy and mass flux rates increase by increasing modified Hartmann numbers. The results also revealed that concentration distribution diminishes for larger values of Brownian motion, whereas temperature distribution portrays increases for larger values of both Brownian motion and thermophoresis. Moreover, it is found that concentration distribution shows direct relation with thermophoretic impact.

Pulsating electrically conducting flow of Au/SWCNTs-blood micropolar nanofluid in a porous channel with Ohmic heating, thermal radiation

The present article addresses the pulsating hydromagnetic flow of a micropolar nanofluid in a porous channel with the existence of thermal radiation and Joule heating (Ohmic heating). Micropolar fluid is considered as blood (base-fluid) and Au(gold)/SWCNTs(single-walled carbon nanotube) are taken as nanoparticles. The fluid is injected into the channel along with a constant velocity from the bottom wall and is squeezed out at the same rate from the top wall. The perturbation approach can be used to change the governing partial differential equations (PDEs) into ordinary differential equations (ODEs), and are subsequently solved by employing the shooting technique with the help of the Runge-Kutta fourth-order scheme. The flow variables like velocity, microrotation, and temperature of nanofluid are graphically depicted and discussed in detail for different values of physical parameters. The heat transfer rate is calculated and displayed through a table. The comparative results for Au and SWCNTs with blood as base fluid are simulated. Such findings bring out that the velocity of nanofluid decreases over an enhancement of coupling parameter, volume fraction of nanoparticles, and Hartmann number. The temperature of nanofluid is increasing with the rising values of Eckert number, Hartmann number, and radiation parameter while it is reducing with an enhancement of coupling parameter, volume fraction of nanoparticles, and cross-flow Reynolds number. Further, the results revealed that the Nusselt number is increasing with rising values of the radiation parameter and Eckert number.

Heat enhancement analysis of the hybridized micropolar nanofluid with Cattaneo–Christov and stratification effects

In the present article, it is examined the steady bio-convective hybridized micropolar nanofluid flow with the stratification conditions above a vertical exponentially stretching surface. The SWCNT+MWCNT are used in a base fluid of water to formulate the Hybrid nanoparticles in the current article. To examine the mass and heat transfer rate, the activation energy and Cattaneo-Christov heat flux are factored into the equation. The relevant transformations are manipulated to transfer the flow model into the coupled non-linear ODEs. To answer the coupled equations, the Bvp4c Matlab approach is being used. The conclusion of various parameters is examined graphically. The physical numbers observed via graphs, such as friction factor, local Sherwood number and local microorganism number. It is worth noticing that the axial and angular velocity reduces close the boundary and enhances away from the boundary with the escalation of solid volume fraction of SWCNT and MWCNT. Further, as increases the Peclet number, microorganism stratification parameters, and bio-convection Schmidt number, the microorganism sketch declines.

Numerical study for bioconvection in magnetized flow of micropolar nanofluid utilizing gyrotactic motile microorganisms

Particular interest has been paid to the consequences of nanofluid owing to the significant energy shortage in the modern world due to its ultra-high thermo-physical properties. Recent researchers have paid huge attention to enriching energy output through the interaction of nanoparticles to resolve this perilous problem. In this work, the magnetized transport of micropolar nanoliquid under the influence of variable thermal conductivity and thermally radiation over a vertical stretching surface with motile microorganisms is analyzed. The heat source/sink and the magnetic field impacts are also considered. The converted non-dimensional controlling ODEs are solved with bvp4c solver (shooting technique) in MATLAB mathematical software. Results of numerical computation are displayed graphically. Prominent parameters such as magnetic parameter, Prandtl number, thermophoresis parameter, thermal radiation, Peclet number, mixed convective number, Lewis number, microrotation parameter, and bioconvection Lewis number are evaluated by plotting graphs for the characteristics of velocity, temperature, volumetric concentration, and microorganism concentration. Efficient heat transfer in macro-tech processes will benefit from the process and findings of this research. The presented model is important in the fields of nanotechnology and bioengineering.

Dynamic consequences of nonlinear radiative heat flux and heat generation/absorption effects in cross-diffusion flow of generalized micropolar nanofluid

The double diffusion thermal mechanism of viscoelastic nano-materials has been suggested under the dynamic consequence of nonlinear thermal radiation and temperature absorption/production phenomenon. The electrically conducting generalized micropolar nanofluid is considered to predict the non-Newtonian behavior. The consideration of modified micropolar fluid successfully retained the viscous features as well as results for the second grade fluid. The uniform flow is induced with the linear movement of a flat surface. Following the convective boundary constraints, the heat and mass characteristics are reported. The equations that governs to the flow are reduced into ordinary ones. The homotopy analysis method (HAM) is imposed to develop the analytical expressions by using computational software MATHEMATICA 8. The evaluation of parameters is inspected by performing graphical analysis for transport process. The computational numerically illustration of the local Nusselt number, Sherwood number and the motile microorganism density number is performed. The results claimed that nanofluid temperature declined with the vortex viscosity parameter. The solutal nanoparticles concentration decreases with the Dufour Lewis number while a lower change in solutal nanoparticles concentration has been observed for regular Lewis number. Moreover, the local Nusselt and Sherwood number increases with vortex viscosity parameter.

Significance of double diffusion for unsteady Carreau micropolar nanofluid transportation across an extending sheet with thermo-radiation and uniform heat source

The main objective of this manuscript is to glance into the assets of nanoparticles in the stream of generalized micropolar fluid and Carreau fluid against an intensified elongated surface. In order to assess, the heat and mass diffusion occurrences, the Cattaneo-Christov implications are also experienced in the temperature and concentration computations. In contrast to prior studies, rheological attributes on non-Newtonian fluids are depicted by engaging micropolar fluid and Carreau liquid that reflect a clear difference of transport phenomena. By minimizing the number of independent factors, the regulating equations are transmuted into non-dimensional types, that are then tackled numerically using the RK-4 algorithm along with the shooting strategy. For velocity, micro-rotation, temperature and concentration distributions, a visualization evaluation of the entangled flow parameters is executed. It has been revealed that expanding magnetic and micropolar constraints enhance micro-rotation velocity. The unsteadiness parameter enhances all three physical quantities, surface drag force, Nusselt number, and Sherwood number.

Nonlinear usual convection flow of couple stress micropolar nanofluids over isothermal sphere with non‐Fourier's heat and non‐Fick's mass fluxes under high classify slip states

AbstractThe goal of this study is to examine the influences of couple stress, the ratio of buoyancy forces, and thermal and solutal relaxation time constraints on two state line sheet flow of nonlinear movement flow of couple stress micropolar nanofluid past the isothermal ball. The mathematical modeling for the flow problem has been made with appropriate likeness change with nondimensional variables. The goal of nonlinear state line value problems were implied in combined high classifies nonlinear ordinary degree of difference equations. The equations were calculated by using the technique bvp4c from Matlab software for numerous quantities of main constraints. Influences of constraints on velocities, thermal, and solutal profiles are displayed from side to side of the charts. The junction test has been continued; for spots larger than apposite web spots, the meticulousness is not affected. Moreover, a comparison with previous papers reachable in the literature has been reported as well as an excellent agreement is presented. The results show that enhancing thermal relaxation time parameter Fo agree to reduce micro‐inertia density that improve velocity profile f'(η), temperature distribution , Nusselt number −θ'(η) and Sherwood number −, and reduce concentration distribution , coefficient of skin friction and wall couple stress and respectively.

Bioconvection transport of magnetized micropolar nanofluid by a Riga plate with non-uniform heat sink/source

The purpose of this work is to discuss the 2D bioconvective micropolar nanoliquid transport with thermal radiation and non-uniform heat sink/source through the Riga plate. Novel features of activation energy are considered. In addition, the Buongiorno nanoliquid transport model is incorporated, which includes Brownian and thermophoresis diffusions aspects. By using effective transformations, nonlinear expressions in the present flow model are transformed into higher-order ODEs. The obtained ODEs are then computed by utilizing an innovative bvp4c solver (shooting scheme) in MATLAB tool. The outcomes of velocity, temperature, concentration, and microorganisms are discussed. Velocity is reduced for growing magnitudes of magnetic and bioconvective Rayleigh numbers. Velocity field boosts up for improvement in Marangoni ratio parameter. The micro rotation profile diminishes for magnetic parameter, and it enhances for micro rotation parameter. The presented findings show that upgraded thermal conductivity of nanoliquid is very useful in medication delivery, medication, food manufacturing, safer cooling surgery, cooling reactors, oil and gas, nanotechnology, biological engineering, heat storage systems, magnetic cell isolation, biosensors, biotechnology, pharmaceutical, and military fields.

On bioconvection and mass transpiration of micropolar nanofluid dynamics due to an extending surface in existence of thermal radiations

This study examines the magnetic effects of heat and mass transmission on the flow of micropolar fluid over a permeable stretching geometry with dilute homogeneous dispersion of nano-particles and gyrotactic microorganisms. A system of coupled highly non-linear PDEs is renovated into corresponding ODEs by using similarity functions. These transmuted equations are resolved for a solution with shooting technique accompanied with Runge-Kutta fourth order. The variations of intricate physical quantities such as temperature, micro-motion, concentration, velocity, and motile micro-organism profiles are evaluated under the influence of the emerging parameters. The velocity profile decreases down with upsurge values of magnetic parameter M while micro-rotation is strengthened and its value becomes higher directly with increments in M. The microorganisms profile depict the diminishing behavior with the growing value of bioconvection Lewis number. These results are useful for obtaining better solutions for heat transfer devices and micropolar fuel cells. Additionally, the impact of the parameter of Brownian motion, Rayleigh number, and the parameter of thermophoresis, Peclet number, and buoyancy ratio parameter were discussed numerically and graphically. Moreover, the numerical results were validated by comparing them with previously obtained exact solution for special cases and acceptable compatibility between the two results is achieved. The findings from this work can be utilized for efficient heat exchangers and thermal balance in micro-electronics.

A solution of coupled nonlinear differential equations arising in a rotating micropolar nanofluid flow system by Hermite wavelet technique

A solution of coupled nonlinear differential equations arising in a rotating micropolar nanofluid flow system by Hermite wavelet technique

Time-dependent squeezing flow of Casson-micropolar nanofluid with injection/suction and slip effects

Time-dependent and incompressible squeezing flow of Casson and micropolar nanofluids is analyzed. The non-Newtonian liquids are confined through parallel disks. The bottom disk is saturated in the plane z = 0 and the fluid is squeezed by the movement of the upper disk along axial direction. Nanofluid theory (Buongiorno model) is accomplished in the flow phenomenon. A uniform injection/suction is act upon at the lower disk. Velocity, thermal and concentration slip effects are also incorporated at the bottom fixed disk. The similarity functions are first accomplished in order to achieve the governing system of ordinary differential equations and then the system is solved in numerical manner using Runge-Kutta-Fehlberg fourth fifth (RKF-45) order numerical procedure. Results are disclosed in tabular and graphical forms against the various physical quantities. For the validation of our numerical technique, the results are compared well with the literature work under limiting case. It is perceived that increased squeezing Reynolds number pushed the radial velocity profiles towards the upper disk. The micropolar parameter tends to the fluid rotation in opposite way due to which microrotational field first enhanced and then reduced by the vortex viscosity parameter.

Comparative Analysis MHD Bioconvective Flow of Micropolar Nanofluid in Porous Medium

The present study dealt with heat and mass transfer rate, and motile micro-organisms for convective micropolar nanofluid flow in a porous medium. The nanofluid contains the influence of both Brownian motion and thermodiffusion (thermophoresis). The problem considered finds applications in the areas of engineering such as reducing greenhouse effects and in the pharmaceutical applications enhancing mixing and slowing down settling particles can be mentioned. The numerical results are obtained and discussed. The results obtained suggest that micropolar fluids enhance the flow and decrease the temperature, nanoparticles concentration and gyrotactic microorganisms concentration profiles compared to viscous fluid. It is also noted that Hall parameter increases skin friction, the heat transfer rate, the mass transfer rate and density of the motile microorganisms.

A comparative note on the free convection of micropolar nanofluid due to the interaction of buoyancy and the dissipative heat energy

AbstractA report is prepared for the free convection of micropolar nanofluid past a continuously moving plate. Free convection of polar fluid is obtained due to the interaction of thermal buoyancy acted against the gravitational force. In addition to that, the novelty of the current investigation is to carry over the coupling impact of the governing equations arises because of the inclusion of dissipative heat energy, and the variation of heat source/sink in the presence of suction/blowing. The governing equations are distorted into their ordinary form by the suitable choice of similarity transformation. Furthermore, the homotopy perturbation method (HPM) is employed for the solution of the set of transformed equations. The behavior of the contributing parameters is presented via graphs and the comparison between the analytical HPM and the conventional numerical technique using the in‐built code bvp5c is presented in tabular form. The numerical simulation shows its good concurrency between the methodologies employed. In few major outcomes, it is seen that the shear rate enriches with an increase in nanoparticle volume fraction. Furthermore, the rate of heat transfer decelerates significantly for the enhanced value of thermal radiation whereas the coupling parameter is favorable for the enhancement.

Thermal convection in a layer of micropolar nanofluid

AbstractThe theoretical investigation of thermal convection in a horizontal layer of micropolar nanofluid is examined within the rule of linear stability hypothesis. The model applied for nanofluid integrates the impact of Brownian and thermophoresis diffusions. The flux of the volumetric fraction of nanoparticles is considered to be nil on the boundaries. The critical eigenvalues are achieved using the Galerkin approach, and the results are discussed and illustrated graphically. The results show that the Lewis number, the modified diffusivity ratio, the nanoparticle Rayleigh number, and the coefficient of coupling amid spin and heat flux accelerate the onset of convective motion, whereas the micropolar parameter and the coefficient of coupling amid vorticity and spin delay the onset of convective motion in the system.

Dual solutions of time-dependent magnetohydrodynamic stagnation point boundary layer micropolar nanofluid flow over shrinking/stretching surface

Dual solutions of time-dependent magnetohydrodynamic stagnation point boundary layer micropolar nanofluid flow over shrinking/stretching surface

Magnetic Dipole and Thermal Radiation Impacts on Stagnation Point Flow of Micropolar Based Nanofluids over a Vertically Stretching Sheet: Finite Element Approach

An analysis for magnetic dipole with stagnation point flow of micropolar nanofluids is modeled for numerical computation subject to thermophoresis, multi buoyancy, injection/suction, and thermal radiation. The partial derivative is involved in physical consideration, which is transformed to format of ordinary differential form with the aid of similarity functions. The variational finite element procedure is harnessed and coded in Matlab script to obtain the numerical solution of the coupled non-linear ordinary differential problem. The fluid temperature, velocity, tiny particles concentration, and vector of micromotion are studied for two case of buoyancy (assisting 0<λ, and opposing 0>λ) through finite-element scheme. The velocity shows decline against the rising of ferromagnetic interaction parameter (β) (assisting 0<λ and opposing 0>λ), while the inverse behaviour is noted in micro rotation profile. Growing the thermo-phoresis and microrotation parameters receded the rate of heat transfer remarkable, and micromotion and fluid velocity enhance directly against buoyancy ratio. Additionally, the rate of couple stress increased against rising of thermal buoyancy (λ) and boundary concentration (m) in assisting case, but opposing case shows inverse behavior. The finite element scheme convergency was tested by changing the mesh size, and also test the validity with available literature.

Numerical study for bioconvection transport of micropolar nanofluid over a thin needle with thermal and exponential space-based heat source

Nanomaterials are the latest technique to upgrade thermal conduction of base liquids. The submerging of these nanomaterials in base liquid is known as nanofluid. In recent time the nanofluids are more useful in mechanical engineering, nanotechnology, bioscience, biotechnology and in many sectors. This analysis deals with the bio-convection transport of micropolar liquid containing nanomaterial's and gyrotactic motile microorganisms past a needle moving in parallel flow in occurrence of thermally radiation and activation-energy. Modeling of needle structure for bioconvection flow of micropolar nanofluid is developed. The behavior of temperature and exponential space-based heat source is considered. The boundary layer flow expressions for developed transport issue are represented by PDEs. Suitable similarity variables are used to change transport expressions in nondimensional nonlinear ordinary differential ones. The bvp4c algorithm has been used to numerically tackle dimensionless nonlinear differential equations (ODEs). All results are described by employing bvp4c tool in MATLAB. Impacts of active numbers on flow distributions are examined with sketches and tables. Temperature field and heat transfer rate are quite opposite for exponential space-based heat source sink parameter and heat sink/source parameter. The concentration of nanoparticles is reduced for larger amount of Brownian motion parameter while uplifts for thermophoresis parameter. Concentration is enriched for the growing magnitudes of thermophoresis number. Higher Peclet parameter decayed the microorganism's field.

Forced convection heat transfer of Ag–MgO/water micropolar hybrid nanofluid inside a stairway channel

In this paper, the forced convection heat transfer of Ag–MgO/water hybrid micropolar nanofluid in a channel is studied numerically which the top wall of channel is smooth and bottom of it is in stairway form. The lattice Boltzmann method (LBM) is used for solving the fluid flow and heat transfer equations. The effects of Reynolds numbers ([Formula: see text]–400), volume fraction of nanofluid ([Formula: see text], 0.01 and 0.02) and stairway aspect ratio ([Formula: see text], 0.2 and 0.3) on the velocity, temperature and local and average Nusselt number profiles are investigated. The results show that by incrementing the Reynolds number and solid volume fraction and decreasing the [Formula: see text]/[Formula: see text] simultaneously, the average Nusselt number increases.

Non-uniform heat source/sink applications for the radiative flow of Brinkman micropolar nanofluid with microorganisms

The thermal consequences of the Brinkman type micropolar nanoparticles are inspected theoretically in presence of microorganisms. The impact of non-uniform heat source and sink is also observed. The thermo-diffusion aspects of nano-materials are visualized for heat and mass transfer phenomenon. The appropriate transformations successfully convert the flow problem into dimensionless form. The shooting numerical computations are performed to access the solution. The accuracy of numerical data is predicted via making comparison with already performed continuations. The graphical significances for the desired parameters is addressed with aims for graphs and tables. The findings are summarized with practical applications. The novel outcomes show that velocity of fluid reduces with inclination factor and Brinkman parameter. The nanofluid temperature is enhanced with non-uniform heat source sink parameters and Brinkman parameter. The nanofluid concentration reduces with viscosity constraint. The obtained results presents applications in the era of thermal engineering, energy production, cooling and heat systems, enzymes etc.

Micropolar Nanofluid Flow in a Vertical Porous Channel: Entropy Generation Analysis

The present analysis consists of a mixed convection micropolar nanofluid flow in a porous medium-filled upright channel. The mathematical equations governing the flow consists of second order differential equations for the velocity, micropolarity and temperature. These equations have been solved utilizing the Homotopy Analysis Method (HAM). The series solution expression is thus obtained for the velocity, temperature and micro-rotation profiles. The value of the entropy generation and the irreversibility ratio are determined. The effect of specific flow parameters on the generation of entropy and irreversibility are displayed graphically and deliberated fervently.