Micropolar Nanofluid Research Articles

Computation of reactive thermosolutal micropolar nanofluid Sakiadis convection flow with gold/silver metallic nanoparticles

In the present study, a mathematical model is developed by combining the Tiwari-Das nanofluid formulation with the Eringen micro-morphic model to simulate the thermo-solutal natural convection chemically reacting micropolar nanofluid flow from a permeable stretching surface with non-uniform heat source/sink effects. The transformed ordinary differential equation boundary value problem features linear momentum, angular momentum, energy and species conservation boundary layer equations with appropriate boundary conditions. This ninth order nonlinear system is solved with Runge-Kutta 45 Fehlberg method. The influence of the effect of the emerging parameters on the flow characteristics are visualized and tabulated. It is observed that increasing volume fraction decreases velocity whereas it elevates microrotation, temperature and nanoparticle concentration. Nanoparticle concentration are elevated for stronger destructive chemical reaction effect whereas they are suppressed with constructive chemical reaction. With greater micropolar boundary condition parameter, the velocity is elevated, microrotation but reduces temperature and thermal boundary layer thickness. Increasing nanoparticle volume fraction enhances both skin friction and couple stress but marginally reduces the Nusselt number. Finally, Au-water micropolar nanofluids achieve the highest skin friction and couple stress magnitudes, then Ag-water and finally Cu-water. Validation of solutions with earlier non-reactive studies in the absence of nanoparticle mass transfer are included.

Nanoparticle Aggregation and Thermophoretic Particle Deposition Process in the Flow of Micropolar Nanofluid over a Stretching Sheet.

The purpose of this research is to investigate the consequence of thermophoretic particle deposition (TPD) on the movement of a TiO2/water-based micropolar nanoliquid surface in the existence of a porous medium, a heat source/sink, and bioconvection. Movement, temperature, and mass transfer measurements are also performed in the attendance and nonappearance of nanoparticle aggregation. The nonlinear partial differential equations are transformed into a system of ordinary differential equations using appropriate similarity factors, and numerical research is carried out using the Runge-Kutta-Felhberg 4th/5th order and shooting technique. The obtained results show that improved values of the porous constraint will decline the velocity profile. Improvement in heat source/sink parameter directly affects the temperature profile. Thermophoretic parameter, bioconvection Peclet number, and Lewis number decrease the concentration and bioconvection profiles. Increases in the heat source/sink constraint and solid volume fraction will advance the rate of thermal dispersion. Nanoparticle with aggregation exhibits less impact in case of velocity profile, but shows a greater impact on temperature, concentration, and bioconvection profiles.

Time-dependent squeezing bio-thermal MHD convection flow of a micropolar nanofluid between two parallel disks with multiple slip effects

We performed numerical analysis on fluid model for incompressible, time dependent electrically conducting squeezing flow of micropolar fluid. The non-Newtonian fluid is confined across two disks in which lower disk is fixed while upper disk moves upward and downward. A uniform suction is made at the lower fixed disk. The Buorngiorno nanofluid theory is implemented to discuss the thermal performance by thermopherosis and Brownian motion phenomenon. Microorganism theory is applied to sustain the suspended nanoparticles by bioconvection induced through combined influence of magnetic field and buoyancy forces. The nonlinear system is reduced to a set of ordinary differential equation by similarity variables. The dimensionless quantities are discussed in pictorial way on velocity, temperature, concentration and microorganism fields. It is perceived that micropolar and magnetic parameters have opposite trend on micro-rotation field. Brownian motion and Thermopheresis parameters have similar kind of influence on temperature profiles and the thermal fields is reduced by suction parameter. Radial velocity curves declined by the squeezing Reynolds number. Numerically values of the physical parameters are also calculated and described through tabular format. It is calculated that slip parameters are reduced the Nusselt and Sherwood numbers values at the both disks respectively. At the center of the plane between two disks, the radial velocity curves are declined, whereas such profiles are enhanced at the lower and upper disks against the magnetic parameter. The increased suction parameter reduces the radial field of f′η. Moreover the radial profiles are of parabolic nature.Microrotation and magnetic parameters tend to rotate the microrotation field in opposite way. In the left region of the central plane, the profiles are enhanced, while in the right half plane the micorotation profiles are reduced. Furthermore, the microrotation curves are intersecting at η = 0.5, where the profiles turn into opposite way.

Variable thermal applications of radiative micropolar nanofluid solutal boundary conditions

The nanomaterials are the most effective thermal approach which reflects many applications in the sectors of nanotechnology, engineering and industries. This theoretical investigation presents thermal effectives of micropolar nanomaterials in presence of variable thermal features and activation energy. The micropolar nanofluid containing microorganisms in order to improves the stability of nanomaterials. The analysis is performed by using solutal boundary constraints. The problem is switched into system of ordinary ones with the aid of appropriate transformation. The solution procedure is followed through shooting algorithm. The salient behavior of flow controlling parameters via subjective profiles of fluid is comprehensively discussed. The impacts of prominent parameters on engineering quantities namely skin friction, heat transfer rate, mass transfer rate and local density numbers of microorganisms are elaborated through tabular data. The results reflect that velocity field decay for buoyancy ratio parameter and rotation parameter. The induced velocity components are boosted for material parameter. The larger values of spin gradient viscosity parameter reduce the microrotation velocity field. The temperature and concentration field is boosted via thermal and solutal Biot numbers. Moreover, the consideration of temperature dependent thermal conductivity is more effective to improve the heat and mass transportation system. The obtained results convey applications in heat exchangers, heat transfer equipments, biomedicine, biotechnology, biofuels cells, nanotechnology, cooling of electronic devises medical, microfluidic, microelectronics double windowpane, food, transportation etc.

Inspections of unsteady micropolar nanofluid model over exponentially stretching curved surface with chemical reaction

The present study considers heat transfer analysis of micropolar nanofluid flow over an exponentially stretching curved surface. The effects of Brownian motion and thermophoresis on the micropolar fluid at exponentially stretching curved surfaces are considered. The chemical reaction and slip effects are analyzed at exponentially stretching curved surface. Using boundary layer approximations, the mathematical model under the flow assumptions is developed in partial differential equations. The partial differential equations are transformed into ordinary differential equations using the dimensionless similarity variables. The dimensionless system is solved through numerical technique. The involving physical parameter effects are presented through graphs and tables. The is enhanced due to rising the values of the curvature parameter. If the curvature is increasing, the bending of the sheet is more which enhances the motion of the fluid particles due to the action of centrifugal force. The Schmidt number enhances which reduces the concentration profile because is directly proportional to the momentum diffusivity and inversely proportional to the mass diffusivity, and consequently, greater the values of conformed to the small mass diffusivity which declines the concentration function.

Effect of magnetic field on the mixed convection in double lid‐driven porous cavities filled with micropolar nanofluids

AbstractThe effect of magnetic field inclination and double lid‐driven on the mixed convection in a square cavity is investigated based on the local thermal non‐equilibrium model. The cavity was filled with a copper–water micropolar nanofluid saturated with a porous medium. The top and bottom walls are considered moving to the left or right directions at a constant velocity. In the current work, the ranges of parameters are as follow: Hartmann number (0 ≤ Ha ≤ 50), length of the heat source (0.2 ≤ ≤ 0.8), Richardson number (0 ≤ ≤ 10), Reynolds number (0 ≤ ≤ 100), location of the heat source (0.3 ≤ D ≤ 0.7), vortex to molecular viscosity ratio (0 ≤ ≤ 2), Nield number (1 ≤ ≤ 100) and solid volume fraction (0 ≤ ≤ 0.1). It was found that the heat transfer decreases as the dimensionless heat source location and the Nield number increase. Also, the growing in the Nield number enhances the rate of the heat transfer for the porous phase and increases the thermal equilibrium state of the system.

Heat Transfer Analysis of Micro Polar Fluid with AL2O3 and CuO Hybrid Nanofluid Over a Plate with and Without Out Viscous Dissipation

Abstract: This work analysis investigated with the boundary layer stream and heat transfer aspects of a micropolar nanofluid over a porous shrinking sheet with thermal radiation. The boundary layer equations governed by the partial differential equations are transformed in to a set of ordinary differential equations with the help of suitable local similarity transformations. The coupled nonlinear ordinary differential equations are solved by the commercial MATLAB code bvp4c.The solutions of dimensionless velocity ,velocity gradient and temperature profiles are analyzed by the effect of various controlling flow parameters nonlinear parameter ,material property and Eckert number. and temperature and Prandtl number. Physical quantities such as skin frication coefficient, local heat, computed. Keywords: Viscous effects .flat plate, Nanofluid, hybrid nanofluid, micro polar fluid , local Nusselt number, skin friction, micro rotation

Effectiveness of Newtonian Heating on Magneto-Free Convective Flow of Polar Nanofluid across a Solid Sphere

This paper explains the free convective flowing of micropolar nanofluid through a solid sphere with Newtonian heating and the magnetic field influence. Sets of partial differential equations are converted by using convenient transformations to ordinary differential equations. The system of similar and nonsimilar equations is solved numerically using the Runge–Kutta–Fehlberg method (RKF45) using MAPLE software (version 20).The numerical results are validated by comparison with previously published works, and excellent agreement is found between them. The influence of the magnetic field parameter, solid volume fraction, and micropolar parameter on velocity, temperature, and angular velocity profiles are shown graphically. In addition, both the skin friction coefficient and Nusselt number are also discussed. It is found that the skin friction increases with an increase in the solid volume fraction of both nanoparticles and Newtonian heating and micropolar parameters. In addition, the magnetic field reduces both the skin friction and the Nusselt number. Moreover, the solid volume fraction and Newtonian heating parameter enhance the Nusselt number.

Micropolar nanofluid thermal free convection and entropy generation through an inclined I-shaped enclosure with two hot cylinders

A numerical study is conducted to evaluate the flow, heat exchange and irreversibilities of micro-polar Al2O3-water nanofluid during the thermal buoyancy convection engendered by two heated cylinders inside an inclined I-shaped enclosure having cold top and bottom walls and adiabatic sidewalls. A numerical approach based on the finite element method was used to solve the equations that govern the phenomenon. For various scenarios for the position of the active cylinders and inclination angle of the system, the macro-flow and micro-rotations structures, temperature fields, the origin of entropy production, and heat exchange rates were determined for varied values of the control parameters, namely: Rayleigh (Ra), vortex viscosity parameter (K), geometric aspect ratio (AR), enclosure inclination angle (χ), and nanoparticles' concentration (φ). All of these variables were discovered to have significant influences on the strength of macro-and micro-nanofluid flows, as well as the entropy production and the rate of heat transfer. The rate of heat exchange escalates as the Ra and AR parameters rise but decreases when the K parameter rises.

Finite element numerical technique for magneto-micropolar nanofluid flow filled with chemically reactive casson fluid between parallel plates subjected to rotatory system with electrical and Hall currents

ABSTRACT Steady electro-magnetohydrodynamic flow of a micropolar nanofluid in the attendance of reactive Casson fluid passing through parallel plates influenced by the rotating system with the implementation of Buongiorno nanofluid model is examined in this study. The momentum transport equation is enhanced by incorporating the electric field. In addition, the influence of reactive species has a vital role that is affecting the flow phenomenon in conjunction with a transverse magnetic field. The physical flow problem is modeled in the form of partial differential equations which are then transformed into nonlinear ordinary differential equations by using appropriate similarity functions and then solved numerically by the usage of the finite element method and procured results are visualized graphically. The outcomes for flow rate, microrotation, temperature, concentration, and engineering quantities distributions are shown in terms of graphical presentation. Momentum and angular momentum transport progressively in nature as the Casson parameter grows. Opposite results of microrotational profiles are found for electric currents in comparison with Hall currents. Both thermophoresis and Brownian motion are found to be significant effects in improving heat transportation phenomena in nanofluids. The existing available literature was utilized to test for validation of the numerical findings.

Computational analysis of heat transfer with micro polar hybrid nanofluid

The article studies the heat transfer of the micro-polar hybrid nanofluid computationally as the boundary layer flow with reference to the pertinent parameters. The hybrid micro-polar nanofluid are analyzed for its effect related to the parameters like Prandtl number, rotation parameter, magnetic field parameter, thermal radiation, skin friction coefficient, Reynolds number, Nusselt number to depict the velocity and micro-rotation profile distribution.. The set of governing equations are converted to the differential form by the similarity transformations and solved for the numerical values by shooting algorithm. The convective flow with the micro-polar hybrid nanofluid in the porous medium with the similarity transformations and non dimensional equations with the boundary equations gives the required result for the analysis. The coefficient of skin friction and rate of heat transport increases with the increase in the magnetic parameter. The fluid flow with the suction/injection parameter is also considered. The analysis of this study includes the results with reference to the heat generation. Interpretation of the result in the form of graph and tables shows that it enhances the heat transfer rate and the parameter like Nusslet number and the coefficient of skin friction are analyzed. The computational values are compared with the existing values and higher accuracy is established. The concluding remark of the article is to analyse the behaviour of velocity and micro-rotation profile with reference to various parameters taken for study.

Flow investigation of second grade micropolar nanofluid with porous medium over an exponentially stretching sheet.

This article mainly focuses on the influence of heat and mass transportation of micropolar second grade nanofluid toward porous medium of an exponentially stretched surface. The significance of activation energy and viscous dissipation with magnetic effect are taken into deliberated. Furthermore, to analyze the heat and mass transport scrutiny the concentration and thermal slip boundary conditions are assessed on the surface of the sheet. The convenient similarity variables are adopted to transfer the non-linear governing PDEs into the dimensionless ODEs and their corresponding boundary conditions also transformed. The nonlinear coupled ODEs are numerically solved by the usage of BVP4C MATLAB technique. The obtained numerical estimations are displayed graphically to display the significance of the various parameters against the velocity, temperature, microrotation, concentration distributions. It is noticed that larger estimations of micropolar and second grade parameter improves the fluid velocity consequently, while opposite trend is found for the higher estimation of porous medium parameter. Further, it is observed that the skin friction rate is boosted by the increment of and , whereas opposite trend is noted against the mass transfer rate and heat transfer rate.

Triple Solutions with Stability Analysis of MHD Mixed Convection Flow of Micropolar Nanofluid with Radiation Effect

This paper deals with two‐dimensional steady boundary layer flow, heat, and mass transfer characteristics of micropolar nanofluid past on exponentially stretching/shrinking surface. The effect of different physical parameters like magnetic field, buoyancy, thermal radiation, and connective heat transfer are examined. Furthermore, similarity solutions are obtained by similarity transformation on the governing system of partial differential equations. The shooting method with help of the Maple software is used to achieve the numerical solutions of the equations. For the different ranges of the applied parameters, triple solutions are obtained for both cases of the surface. In view of the triple solutions, stability analysis is performed by bvp4c in the MATLAB software, where only first solution is found feasible which is discussed. The main findings of the first solution indicate the skin friction, drag force, heat, and mass transfer rates are increasing for the λ > 0 and decreasing for λ < 0 as the K is enhanced. The velocity profiles decrease with increase in magnetic, slip velocity, and suction parameters. The temperature profiles increase with increase in magnetic, thermophoresis, thermal radiation, and Brownian motion parameters, whereas concentration profiles reduce with increase in Schmitt number and Brownian motion.

Mixed Convective‐Radiative Dissipative Magnetized Micropolar Nanofluid Flow over a Stretching Surface in Porous Media with Double Stratification and Chemical Reaction Effects: ADM‐Padé Computation

The present study deals with the electrically conducting micropolar nanofluid flow from a vertical stretching surface adjacent to a porous medium under a transverse magnetic field. Eringen’s micropolar model is deployed for non‐Newtonian characteristics and the Buongiorno nanofluid model employed for nanoscale effects (thermophoresis and Brownian motion). The model includes double stratification (thermal and solutal) and also chemical reaction effects, heat source, and viscous dissipation. Darcy’s model is employed for the porous medium and a Rosseland diffusion flux approximation for nonlinear thermal radiation. The nonlinear governing partial differential conservation equations are rendered into nonlinear ordinary differential equations via relevant transformations. An innovative semi‐numerical methodology combining the Adomian decomposition method (ADM) with Padé approximants and known as ADM‐Padé is deployed to solve the emerging nonlinear ordinary differential boundary value problem with appropriate wall and free stream conditions in MATLAB software. A detailed parametric study of the influence of key parameters on stream function, velocity, microrotation (angular velocity), temperature, and nanoparticle concentration profiles is conducted. Furthermore, skin friction coefficient, wall couple stress coefficient, Nusselt number, and Sherwood number are displayed in tables. The validation of both numerical techniques used, i.e., ADM and ADM‐Padé, against a conventional numerical 4th order Runge–Kutta method is also included and significant acceleration in convergence of solutions achieved with the ADM‐Padé approach. The flow is decelerated with greater buoyancy ratio parameter whereas microrotation (angular velocity) is enhanced. Increasing thermal and solutal stratification suppresses microrotation. Concentration magnitudes are boosted with greater chemical reaction parameter and Lewis number. Temperatures are significantly enhanced with radiative parameter. Increasing Brownian motion parameter depletes concentration values. The study finds applications in thermomagnetic coating processes involving nanomaterials with microstructural characteristics.

Heat Transfer Study of Electro Kinetically Modulated Micropolar Nanofluid Flow for Cu and Ag Nanoparticles in a Propagating Microchannel

Heat Transfer Study of Electro Kinetically Modulated Micropolar Nanofluid Flow for Cu and Ag Nanoparticles in a Propagating Microchannel

Hybrid nanofluids: Significance of gravity modulation, heat source/ sink, and magnetohydrodynamic on dynamics of micropolar fluid over an inclined surface via finite element simulation

An exploration is sought for improved thermal transportation across an extending inclined sheet in the upper space to be influenced by periodic micro gravity g*(τ)=g0(1+acos(πωt)) and magnetic field B0. The mixed convection induced by g-jitter effects is studied for the flow of two colloidal liquids; the alone micropolar nano fluid (copper/ water) and micropolar hybrid nano fluid (alumenia-copper/ water). The leading formulation in its transformed form as ordinary differential format is manipulated via finite-element discretization. A computational code is coded in Matlab script to assess the impacts of involved parameters on dynamic of fluid. The differentiated enhanced performance of hybrid naofluids is observed in this upper space g-jitter influenced flow. The fluid velocity is slowed against growing strength of Hartmann number, but it becomes faster against micropolar material quantity. Both velocity and temperature distribution for hybrid nanofluid flow attains higher values in comparison with those of alone mono-nanofluid. The fluctuation of skin-friction factor and heat flux gradient improves with larger inputs of amplitude of modulation.

Irreversibility analysis of micropolar nanofluid flow in a vertical channel with the impact of inclined magnetic field and heat source or sink

AbstractThis article examines the inclined magnetic field effect on the flow of micropolar nanofluids in a vertical channel with convective boundary conditions and heat source or sink. Thermodynamics second law is employed to analyze the aspects of entropy generation. The governing differential equations are modified into dimensionless form by using suitable nondimensional variables. These transformed equations are solved by implementing the differential transform technique. The results are analyzed graphically. Skin friction and Nusselt number values are evaluated at the boundary walls of the channel. The major findings of the study are material parameter enhances the microrotation but suppresses both velocity and temperature. Magnetic parameter and angle of the implication of magnetic field decrease the velocity and microrotation. Material parameter and angle of imposed magnetic field minimize the entropy generation.

Attribution of Multi-slips and Bioconvection for Micropolar Nanofluids Transpiration Through Porous Medium over an Extending Sheet with PST and PHF Conditions

Attribution of Multi-slips and Bioconvection for Micropolar Nanofluids Transpiration Through Porous Medium over an Extending Sheet with PST and PHF Conditions

Analysis on physical properties of micropolar nanofluid past a constantly moving porous plate

The computational analysis is presented for boundary layer heat and mass transfer flow of hydro magnetic micropolar nanofluid flow. In the flow model, viscosity of the fluid is taken as temperature-dependent and varies linearly and the other physical properties such as radiative heat flux, the magnetic field, the viscous dissipation, chemical reaction are additionally assumed in the energy equation and spices concentration equation respectively The PDEs representing the fluid flow have been changed into a framework of dimensionless ODEs and explained mathematically through the 4th order R-K and NS shooting technique. Temperature distribution, velocity distribution, micro rotation, and concentration distribution are explored graphically for a series of solid volume fraction (0<ϕ<2) of nano-solid particles. All the findings for various flow parameters agreed perfectly with physical situation of the flow. It is observed that for increasing value of magnetic parameter, the concentration and temperature of the micropolar nano fluid near the boundary layer declines and increasing value of the volume fraction of nano-solid particle ϕ leads to decrease in velocity and micro rotation of the fluid within the boundary layer decreases.

Analysis of entropy on the peristaltic transport of micropolar nanofluid: a simulation obtained using approximate analytical technique

Analysis of entropy on the peristaltic transport of micropolar nanofluid: a simulation obtained using approximate analytical technique