Numerical simulation of energy transfer in radiative hybrid nanofluids flow influenced by second-order chemical reaction and magnetic field (original) (raw)

A Numerical Analysis of the Hybrid Nanofluid (AgTiO2Water) Flow in the Presence of Heat and Radiation Fluxes++

Energies

The hydrothermal characteristics of (Ag+TiO2+H2O) hybrid nanofluid three dimensional flow between two vertical plates, in which the right permeable plate stretches as well as rotates, are investigated by employing varying magnetic, heat and radiation fluxes. The motion is governed by coupled PDEs (nonlinear) obeying suitable boundary conditions. The PDEs coupled system is transformed to a coupled set of nonlinear ODEs employing appropriate similarity transformation relations. The resultant equations are numerically solved through the bv4c solver. The impact of the changing strength of associated parameters on the flow is investigated graphically and through tables. It has been found that the velocity gradient and velocity initially increase and then decrease with increasing Grashof number values in both the suction and injection cases. The enhancing magnetic field first augments and then lowers the velocity gradient in the presence of radiation source of maximum strength. The increa...

Inclined magnetic field and nonlinear thermal radiation effects on nanofluids flow with homogeneous-heterogeneous reactions

AIP Conference Proceedings, 2022

The present article analyzes the stagnation point boundary layer flow of nanofluids towards a stretching sheet in a porous media using similarity transformations. We study the impacts of nonlinear thermal radiation, inclined magnetic field, homogeneous and heterogeneous reactions, viscous dissipation and heat generation in Ag-water and Cu-water nanofluids. The numerical solutions with the corresponding boundary conditions are obtained by adopting bvp4c program in Matlab. Influence of physical parameters on fluid flow behavior are exhibited via graphs. Nusselt number and skin friction coefficient data are exhibited through table. Nanofluid velocity reduces with increasing magnetic parameter and inclination angle. Increment values of Eckert number intensifies velocity and temperature distributions of the nanofluids. This flow model has applications in engineering and industrial devices, such as heat exchangers, lubricants, coolants, chemical catalyst reactors, and food processing.

Prescribed Thermal Activity in the Radiative Bidirectional Flow of Magnetized Hybrid Nanofluid: Keller-Box Approach

Journal of Nanomaterials

In this exploration, we decided to investigate the significance of prescribed thermal conditions on unsteady 3D dynamics of water-based radiative hybrid nanofluid with the impact of cylindrical-shaped nanosized particles (alumina ( Al 2 O 3 ) and titania ( Ti O 2 )). For physical relevancy, the impact of the Lorentz force is also included. The combination of suitable variables has been used to transform the transport equations into the system of ordinary differential equations and then numerically solved via the Keller-Box approach. Graphical illustrations have been used to predict the impact of the involved parameters on the thermal setup. Convergence analysis is presented via the grid independence approach. Skin frictions and local Nusselt numbers against various choices of involved parameters are plotted and arranged in tabular forms. It is observed through the present investigation that temperature distribution is increased with the higher choices of radiation parameter 0.0 ≤ R ...

Insight into the dynamics of second grade hybrid radiative nanofluid flow within the boundary layer subject to Lorentz force

Scientific Reports, 2021

The magnetohydrodynamic hybrid second-grade nanofluid flow towards a stretching/shrinking sheet with thermal radiation is inspected in current work. Main concern of current investigation is to consider hybrid Al_{2} O_{3} - CuAl2O3−Cunanofluidwhichisperceivedbyhangingtwodissimilarkindsofnanoparticlesknownasaluminaandcopperwithinthebasefluid.Thefluidmotionisproducedbynon−linearstretching/shrinkingsheet.Themodeledequationswhichcompriseofenergy,motionandcontinuityequationsarechangedintodimensionlessformusinggroupofsimilarvariables.Todeterminethesolutionoftransformedproblem,theHomotopyAnalysistechniqueisused.Thefindingsofthisworkrevealedthatthemagneticparameterimprovestheheattransferrate.Thisworkalsoensuresthattherearenon−uniquesolutionsofmodeledproblemforshrinkingcaseandauniquesolutionforstretchingcase.HighervaluesofA l 2 O 3 - C u nanofluid which is perceived by hanging two dissimilar kinds of nanoparticles known as alumina and copper within the base fluid. The fluid motion is produced by non-linear stretching/shrinking sheet. The modeled equations which comprise of energy, motion and continuity equations are changed into dimensionless form using group of similar variables. To determine the solution of transformed problem, the Homotopy Analysis technique is used. The findings of this work revealed that the magnetic parameter improves the heat transfer rate. This work also ensures that there are non-unique solutions of modeled problem for shrinking case and a unique solution for stretching case. Higher values ofAl2O3Cunanofluidwhichisperceivedbyhangingtwodissimilarkindsofnanoparticlesknownasaluminaandcopperwithinthebasefluid.Thefluidmotionisproducedbynonlinearstretching/shrinkingsheet.Themodeledequationswhichcompriseofenergy,motionandcontinuityequationsarechangedintodimensionlessformusinggroupofsimilarvariables.Todeterminethesolutionoftransformedproblem,theHomotopyAnalysistechniqueisused.Thefindingsofthisworkrevealedthatthemagneticparameterimprovestheheattransferrate.Thisworkalsoensuresthattherearenonuniquesolutionsofmodeledproblemforshrinkingcaseandauniquesolutionforstretchingcase.Highervaluesof{\text{Re}}_{x}$$ Re x results in declining of flow fi...

Chemical Reaction and Thermal Radiation Effects on Magnetohydrodynamic Nanofluid Flow Past an Exponentially Stretching Sheet

2022

This study investigates chemical reaction and thermal radiation effects on hydromagnetic nanofluid flow over an exponentially stretching sheet. The governing partial differential equations were transformed to ordinary differential equations by using similarity transformation and the resulting equations were solved using asymptotic series method. Graphical results showing the influence of the governing parameters on the velocity, temperature and concentration are displayed. Our results indicated that an increase in stretching sheet, thermal Grashof parameters leads to the increase in the rate of fluid flow while it decreases when magnetic field factor is increased. Also, increasing the thermophoresis number brings about increase in temperature and concentration while the reverse is the case as Prandtl number, Schmidt factor and chemical reaction rate increases. Increase in radiation leads to increase in the temperature.

A Comparative Study of Thermal Radiation Effects on MHD Flow of Nanofluids and Heat Transfer Over a Stretching Sheet

Frontiers in Heat and Mass Transfer

In this work, the steady natural convective boundary layer flow of nanofluid and heat transfer over a stretching sheet in the presence of a uniform transverse magnetic field is investigated. We consider two different base fluids and three different nanoparticles were examined as nanofluid. A new model was used in the simulation of nanofluid. Similarity transformations are used to obtain a system of nonlinear ordinary differential equations. The resulting equations are solved numerically by shooting method with Runge-Kutta fourth order scheme (MATLAB package). The effects of various parameters describing the transport in the presence of thermal radiation, buoyancy parameter, magnetic parameter and heat source/sink and nanoparticle volume concentration on the nanofluid velocity, temperature, the heat transfer coefficient and skin-friction coefficient are studied through graphs and table. Furthermore, comparisons with published results are in very good agreement.

A Numerical Analysis on MHD Hybrid Nanofluid flow and Heat transfer over a Permeable Stretching Sheet under the Influence of Thermal Radiation

The current investigation considers the two-dimensional time independent MHD flow and heat transfer of a water-based hybrid nanofluid induced by a stretching sheet of porous medium with first order boundary slip conditions. The Effects of thermal radiation, viscous dissipation, and Joule heating are taken into consideration. For investigation hybrid nanoparticles of silver (𝐴𝑔) and alumina (𝐴𝑙2𝑂3) are considered along with water (𝐻2𝑂) as base fluid. Following a suitable similarity transformation, the governing equations are reconstructed as a set of non-linear ordinary differential equations. We have employed the Keller-box numerical technique to solve the equations. The influence of different parameters on the velocity profile and temperature profile are illustrated graphically, whereas its impact on skin-friction coefficient and local Nusselt number are tabulated. From this study, we have concluded that the increase in radiation and magnetic parameter increases the thermal boundar...

Similarity Solution of the Partial Differential Equations that model water/magnetite nanofluid flow and heat transfer on a stretchable rotating disk subject to thermal radiation and Lorentz force

Numerical Methods for Partial Differential Equations, 2020

Among other non-Newtonian fluid models, power-law fluid has gained much acceptance because of its some powerful applications such as pressure drop calculation in the drilling industry, utilization of blood flow for red cells in plasma and static as well as dynamic filtration. The aim is to analyze theoretically the steady three-dimensional boundary layer flow near the stagnation point and heat transfer of power-law ferrofluid over rotatory stretchable. The effect of Lorentz force on the flow and the influence of nonlinear thermal radiation upon the temperature is also incorporated. For this phenomenon, magnetite (3 4) is considered as ferrofluid particles which are mixed with the base fluid (water). Physically modeled partial differential equations (PDEs) are lessened to ordinary differential equations (ODEs) by the support of precise similarity transformation and then the shooting method is implemented to obtain the solution of the resultant ODEs. A comprehensive tabular comparison between present and previously existing outcomes is made. From an overall exploration it can be concluded that the cross-sectional flow for shear thinning and shear thickening is examined upon increasing the concentration of the nanoparticles and flow behaving index of power-law. The Lorentz force retards the flow near the disk due to which velocity components decrease. Also, the temperature escalates for nonlinear radiation and this escalation is more prominent for shear thinning. Furthermore, the Prandtl number helps in controlling the boundary layer thickness.

MHD flow and radiation heat transfer of nanofluids in porous media with variable surface heat flux and chemical reaction

Applied Mathematical Modelling, 2015

This paper studies MHD flow and radiation heat transfer of nanofluids against a flat plate in porous medium with the effects of variable surface heat flux and first-order chemical reaction. Three types of nanoparticles 2 3 , Cu Al O and Ag are investigated. Similarity transformations are applied to reduce the governing partial differential equations with boundary conditions into a system of ordinary differential equations over a semi-infinite interval. An efficient analytical approach based on differential transformation base functions method (DTM-BF) for unbounded domains is performed to give approximate solutions which are verified by numerical ones, showing close agreement. The effects of the solid volume fraction, types of nanoparticles, permeability, magnetic field, chemical reaction, Schmidt number, radiation and suction/blowing on velocity, temperature and concentration fields are graphically illustrated and analyzed in detail.

Numerical analysis of chemical reaction and non-linear radiation for magneto-cross nanofluid over a stretching cylinder

Applied Nanoscience, 2020

This work is focused on the numerical solution of non-Newtonian unsteady flow of a Cross nanofluid over a continuously expanding/contracting horizontal cylinder. The flow study and joule heating are obtainable in the presence of a binary chemical reaction, radiation and nanofluid for a devised Nanomaterial model, considering the phenomena of Brownian motion and thermophoresis. The idea of Boussinesq-approximations is developed with the help of momentum, temperature and concentration equations by using appropriate transformations. The nonlinear partial differential equations (PDE's) are converted to ordinary ones via appropriate transformations. A numerical solution is obtained through the implementation of a boundary value problem fourth-order (bvp4c) technique. Flow parameters are discussed graphically. Physical engineering quantities, like surface drag forces, Nusselt and Sherwood numbers are examined numerically. It is concluded that heat transfer rates are enhanced for heat source/sink and Brownian motion.