Rotating flow assessment of magnetized mixture fluid suspended with hybrid nanoparticles and chemical reactions of species

AbstractThe current study characterizes the effects of Hall current, Arrhenius activation energy and binary chemical reaction on the rotating flow of hybrid nanofluid in two double disks. By the use of suitable similarity transformations, the system of partial differential equations and boundary conditions for hybrid nanofluid are transformed to ordinary differential equations which are solved through optimal homotopy analysis method. The intensified magnetic field and hybrid nanofluid performances are represented in three dimensional model with flow, heat and mass transfer. Radial velocity decreases and tangential velocity increases with the Hall parameter. Temperature rises with high values of rotation parameter while it decreases with the Prandtl number. Nanoparticles concentration enhances with the increments in Arrhenius activation energy parameter and stretching parameter due to lower disk. There exists a close and favorable harmony in the results of present and published work.

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Simultaneous impact of magnetic and Arrhenius activation energy on the flow of Casson hybrid nanofluid over a vertically moving plate

International Journal of Thermofluid Science and Technology ◽

10.36963/ijtst.2021080202 ◽

2021 ◽

Vol 8 (2) ◽

Author(s):

Sarwe D. U. ◽

Shanker B. ◽

Mishra R. ◽

Kumar R. S. V. ◽

Shekar M. N. R.

Keyword(s):

Activation Energy ◽

Current Model ◽

Energy Parameter ◽

Hybrid Nanofluid ◽

Arrhenius Activation Energy ◽

Moving Plate ◽

Convective Boundary ◽

Simultaneous Impact ◽

Sakiadis Flow ◽

The Impact

The present study deals with the Blasius and Sakiadis flow of Casson hybrid nanoliquid over a vertically moving plate under the influence of magnetic effect and Joule heating. Here, we considered Silver and Copper as nanoparticles suspended in 50% Ethylene-Glycol (EG) as base fluid. Further, the Arrhenius activation energy and convective boundary conditions are taken into the account. The set of PDEs of the current model are converted into ODEs by using suitable similarity variables. The reduced ODEs are numerically solved with the help of RKF-45 method by adopting shooting scheme. The impact of various pertinent parameters on the fluid fields is deliberated graphically. The result outcomes reveal that, rise in values of Casson parameter diminishes the velocity gradient. The escalated values of magnetic parameter decline the velocity profile but reverse trend is detected in thermal and concentration profiles. Moreover, the augmentation in the activation energy parameter elevates the concentration profile.

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Approximate Analytical Analysis of Unsteady MHD Mixed Flow of Non-Newtonian Hybrid Nanofluid over a Stretching Surface

Fluids ◽

10.3390/fluids6040138 ◽

2021 ◽

Vol 6 (4) ◽

pp. 138

Author(s):

Ali Rehman ◽

Zabidin Salleh

Keyword(s):

Heat Transfer ◽

Differential Equations ◽

Base Fluid ◽

Research Work ◽

Hybrid Nanofluid ◽

Stretching Surface ◽

Optimal Homotopy Analysis Method ◽

Analytical Analysis ◽

Transfer Ratio ◽

The Impact

This paper analyses the two-dimensional unsteady and incompressible flow of a non-Newtonian hybrid nanofluid over a stretching surface. The nanofluid formulated in the present study is TiO2 + Ag + blood, and TiO2 + blood, where in this combination TiO2 + blood is the base fluid and TiO2 + Ag + blood represents the hybrid nanofluid. The aim of the present research work is to improve the heat transfer ratio because the heat transfer ratio of the hybrid nanofluid is higher than that of the base fluid. The novelty of the recent work is the approximate analytical analysis of the magnetohydrodynamics mixed non-Newtonian hybrid nanofluid over a stretching surface. This type of combination, where TiO2+blood is the base fluid and TiO2 + Ag + blood is the hybrid nanofluid, is studied for the first time in the literature. The fundamental partial differential equations are transformed to a set of nonlinear ordinary differential equations with the guide of some appropriate similarity transformations. The analytical approximate method, namely the optimal homotopy analysis method (OHAM), is used for the approximate analytical solution. The convergence of the OHAM for particular problems is also discussed. The impact of the magnetic parameter, dynamic viscosity parameter, stretching surface parameter and Prandtl number is interpreted through graphs. The skin friction coefficient and Nusselt number are explained in table form. The present work is found to be in very good agreement with those published earlier.

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Effects of Exothermic/Endothermic Chemical Reactions with Arrhenius Activation Energy on MHD Free Convection and Mass Transfer Flow in Presence of Thermal Radiation

Journal of Thermodynamics ◽

10.1155/2013/692516 ◽

2013 ◽

Vol 2013 ◽

pp. 1-11 ◽

Cited By ~ 39

Author(s):

Kh. Abdul Maleque

Keyword(s):

Activation Energy ◽

Mass Transfer ◽

Differential Equations ◽

Thermal Radiation ◽

Chemical Reactions ◽

Numerical Solutions ◽

Porous Plate ◽

Local Similarity ◽

Shooting Methods ◽

Arrhenius Activation Energy

A local similarity solution of unsteady MHD natural convection heat and mass transfer boundary layer flow past a flat porous plate within the presence of thermal radiation is investigated. The effects of exothermic and endothermic chemical reactions with Arrhenius activation energy on the velocity, temperature, and concentration are also studied in this paper. The governing partial differential equations are reduced to ordinary differential equations by introducing locally similarity transformation (Maleque (2010)). Numerical solutions to the reduced nonlinear similarity equations are then obtained by adopting Runge-Kutta and shooting methods using the Nachtsheim-Swigert iteration technique. The results of the numerical solution are obtained for both steady and unsteady cases then presented graphically in the form of velocity, temperature, and concentration profiles. Comparison has been made for steady flow () and shows excellent agreement with Bestman (1990), hence encouragement for the use of the present computations.

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Insights into the Generalized Fourier's and Fick's Laws for Simulating Mixed Bioconvective Flows of Radiative-Reactive Walters-B Fluids Conveying Tiny Particles subject to Lorentz Force

10.21203/rs.3.rs-398087/v1 ◽

2021 ◽

Author(s):

A. Wakif ◽

I. L. Animasaun ◽

Umair Khan ◽

Ahmed Mohammed Alshehri

Keyword(s):

Activation Energy ◽

Differential Equations ◽

Computational Cost ◽

Energy Parameter ◽

Linearization Method ◽

Surface Drag ◽

Force Coefficient ◽

Buongiorno’S Model ◽

Similarity Transformations ◽

Nanoparticles Concentration

Abstract The current improvement in nanoscience and nanotechnology areas has attracted researchers' attention to biofuel, bioengineering, and biomedical and mechanical engineering applications. However, there is no report on the extension of Buongiorno's model incorporating the Cattaneo-Christov theory and the generalized Fick's law to reflect the significant impacts of Brownian motion, thermophoresis diffusion, thermal radiation, and activation energy. The governing partial differential equations (PDEs) suitable to model the case as mentioned above were converted into a unified set of ordinary differential equations (ODEs) by applying appropriate similarity transformations and solved numerically by using the Spectral Local Linearization Method (SLLM) and MATLAB in-built package. The SLLM numerical method provides robustness results with a higher level of exactness and low‐computational cost. It is worthy to conclude that the nanoparticles concentration distribution can be heightened considerably either by diminishing the Prandtl number and concentration relaxation parameter or increasing the values of nanoparticles concentration Biot number and activation energy parameter. An attractive reduction in the surface drag force coefficient is achievable via the intensifying values of the non-Newtonian parameter.

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Heat and Mass Transfer Enhancement of MHD Hybrid Nanofluid Flow in the Presence of Activation Energy

International Journal of Chemical Engineering ◽

10.1155/2021/9473226 ◽

2021 ◽

Vol 2021 ◽

pp. 1-12

Author(s):

M. Shanmugapriya ◽

R. Sundareswaran ◽

P. Senthil Kumar

Keyword(s):

Activation Energy ◽

Mathematical Structure ◽

Hybrid Nanoparticles ◽

Hybrid Nanofluid ◽

Nanofluid Flow ◽

Nonlinear Odes ◽

Shooting Technique ◽

Hybrid Nanofluids ◽

Single Walled Cnts ◽

Walled Cnts

In this study, water is apprehended as conventional fluid with the suspension of two types of hybrid nanoparticles, namely, single-walled CNTs (SWCNTs) and multiwalled CNTs (MWCNTs). The influence of a magnetic field, thermal radiation, and activation energy with binary chemical reaction has been added to better examine the fine point of hybrid nanofluid flow. The mathematical structure regarding the physical model for hybrid nanofluid is established and then the similarity variables are induced to transmute the leading PDEs into nonlinear ODEs. These equations were solved using the shooting technique together with RKF 4-5th order for various values of the governing parameters numerically. The results of prominent parameters were manifested through graphs and tables. The results indicate that the hybrid nanofluid SWCNT − MWCNT / water is fully adequate in cooling and heating compared to other hybrid nanofluids. In addition, the rise in the value of activation energy E upsurges the nanoparticle transfer rate of hybrid nanofluid.

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Binary chemical reaction with activation energy in rotating flow subject to nonlinear heat flux and heat source/sink

Journal of Computational Design and Engineering ◽

10.1093/jcde/qwaa023 ◽

2020 ◽

Vol 7 (3) ◽

pp. 279-286

Author(s):

M Ijaz Khan ◽

Tehreem Nasir ◽

T Hayat ◽

Niaz B Khan ◽

A Alsaedi

Keyword(s):

Activation Energy ◽

Heat Source ◽

Chemical Reaction ◽

Eckert Number ◽

Rotating Flow ◽

Arrhenius Activation Energy ◽

Transfer Rates ◽

Mass And Heat Transfer ◽

Source Sink ◽

Magnetic Variable

Abstract Time-dependent rotating flow in presence of heat source/sink, applied magnetic field, Joule heating, thermal radiation, and viscous dissipation is considered. Chemical reaction with Arrhenius activation energy is implemented. The governing partial differential equations have been reduced to ordinary differential systems. Shooting scheme is implemented for the computations of governing systems. Graphical results are arranged for velocity, temperature, and concentration, skin friction coefficients, and heat and mass transfer rates. Main results are mentioned in conclusion portion. It is analyzed that velocity decays in the presence of magnetic variable while temperature and concentration fields are enhanced via Eckert number and fitted rate constant. Moreover drag force and mass and heat transfer rates decrease through higher estimations of rotation rate variable, magnetic parameter, and Eckert number.

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Flow and Wall Heat Transfer due to a Continuously Moving Slender Needle in Hybrid Nanofluid with Stability Analysis

Journal of Advanced Research in Fluid Mechanics and Thermal Sciences ◽

10.37934/arfmts.76.3.6274 ◽

2020 ◽

Vol 76 (3) ◽

pp. 62-74

Author(s):

Siti Nur Alwani Salleh ◽

Norfifah Bachok ◽

Fadzilah Md Ali ◽

Norihan Md Arifin

Keyword(s):

Heat Transfer ◽

Differential Equations ◽

Volume Fraction ◽

Numerical Study ◽

Velocity Ratio ◽

Hybrid Nanoparticles ◽

Graphical Form ◽

Hybrid Nanofluid ◽

Unstable Flow ◽

Branch Solution

Present work deals with the numerical study of flow due to a continuously moving slender needle in a hybrid nanoliquid. The mathematical model of this work is developed in terms of nonlinear partial differential equations. By adopting the relevant similarity transformations, these equations are reduced to a system of nonlinear ordinary differential equations. Afterward, the solution is determined computationally via a bvp4c solver in MATLAB software. The influences of nanoparticle volume fraction, needle thickness and velocity ratio parameter on the rate of heat transfer, coefficient of skin friction, velocity as well as temperature distributions are illustrated in graphical form to describe the important features of the solution. The multiple solutions seem to appear when the needle opposes the free stream flow. It is revealed from the study that the composite (hybrid) nanoparticles augment the heat transfer rate between the flow and the needle in a certain domain of the velocity ratio parameter. The analysis of stability has proved that the upper branch solution represents stable flow, whereas the lower branch solution represents unstable flow.

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Significance of Hall effect and Ion slip in a three-dimensional bioconvective Tangent hyperbolic nanofluid flow subject to Arrhenius activation energy

Scientific Reports ◽

10.1038/s41598-020-73365-w ◽

2020 ◽

Vol 10 (1) ◽

Author(s):

Muhammad Ramzan ◽

Hina Gul ◽

Jae Dong Chung ◽

Seifedine Kadry ◽

Yu-Ming Chu

Keyword(s):

Magnetic Field ◽

Activation Energy ◽

Heat Flux ◽

Hall Effect ◽

Three Dimensional ◽

Energy Parameter ◽

Arrhenius Activation Energy ◽

Nanofluid Flow ◽

Ion Slip ◽

Non Linear System

Abstract The dynamics of partially ionized fluid flow subjected to the magnetic field are altogether distinct in comparison to the flow of natural fluids. Fewer studies are available in the literature discussing the alluring characteristics of the Hall effect and the Ion slip in nanofluid flows. Nevertheless, the flow of nanofluid flow with Hall and Ion slip effect integrated with activation energy, gyrotactic microorganisms, and Cattaneo–Christov heat flux is still scarce. To fill in this gap, our aim here is to examine the three dimensional electrically conducting Tangent hyperbolic bioconvective nanofluid flow with Hall and Ion slip under the influence of magnetic field and heat transmission phenomenon past a stretching sheet. Impacts of Cattaneo–Christov heat flux, Arrhenius activation energy, and chemical reaction are also considered here. For the conversion of a non-linear system to an ordinary one, pertinent transformations procedure is implemented. By using the bvp4c MATLAB function, these equations with the boundary conditions are worked out numerically. The significant impacts of prominent parameters on velocity, temperature, and concentration profiles are investigated through graphical illustrations. The results show that the velocity of the fluid is enhanced once the Ion slip and Hall parameters values are improved. Furthermore, the concentration is improved when the values of the activation energy parameter are enhanced.

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Mixed Convection in MHD Water-Based Molybdenum Disulfide-Graphene Oxide Hybrid Nanofluid through an Upright Cylinder with Shape Factor

Water ◽

10.3390/w12061723 ◽

2020 ◽

Vol 12 (6) ◽

pp. 1723 ◽

Cited By ~ 2

Author(s):

Yu-Ming Chu ◽

Kottakkaran Sooppy Nisar ◽

Umair Khan ◽

Hamed Daei Kasmaei ◽

Manuel Malaver ◽

...

Keyword(s):

Graphene Oxide ◽

Differential Equations ◽

Thermal Radiation ◽

Shape Factor ◽

Fluid Velocity ◽

Hybrid Nanoparticles ◽

Maximum Temperature ◽

Hybrid Nanofluid ◽

Convective Boundary ◽

The Impact

In this work, water is captured as regular fluid with suspension of two types of hybrid nanoparticles, namely molybdenumdisulfide (MoS2) and graphene oxide (GO). The impact of Lorentz’s forces on mixed convective boundary-layer flow (BLF) is studied through an upright cylinder under the influences of thermal radiation. The shape factor is also assessed. The mathematical model for hybrid nanofluidis developed and, by implementing suitable similarity variables, the leading partial differential equations (PDEs) are altered into a non-linear ordinary differential equations (ODEs) system and then resolved through a bvp4c solver. The penetrations of varied parameters, such as thermal radiation, nanomaterials shapes (bricks, platelets, bricks and cylinders), magneto-hydrodynamics (MHD), and ratio parameters on the temperature and fluid velocity, along with the skin friction and the Nusselt number, are typified qualitatively via sketches. The opposing flow, as well as the assisting flow, is considered. The results indicate that the impact of hybrid nanofluid (HBNF) on the velocity and the temperature is more than nanofluid (NF). It is also scrutinized that the blade-shaped nanomaterials of hybrid nanofluid have a maximum temperature and brick-shaped nanomaterials have a low temperature. In addition, the friction factor and the heat transport rate decline due to the magnetic parameter and increase due to the shape factor. Moreover, the radiation uplifts the velocity and temperature, while the free stream Reynolds number declines the velocity and temperature. Finally, a comparison with available results in the literature are made and found in an excellent way. The ranges of constraints in this research are considered as: 0.01 ≤ λ ≤ 0.2 , 0 ≤ M ≤ 4 , 0 ≤ α ≤ 1.5 , 0 ≤ R d ≤ 1 , 1 ≤ Re a ≤ 3 , 0 ≤ ϕ 1 ≤ 0.1 and 0 ≤ ϕ 2 ≤ 0.003 .

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