Finite-Element Analysis of Fully Developed Mixed Convection through a Vertical Channel in the Presence of Heat Generation/Absorption with a First-Order Chemical Reaction

Mallikarjun, Patil; Murthy, Raghavendra Vasudeva; Mahabaleshwar, U. S.; Chamkha, Ali J.; Lorenzini, Giulio

doi:10.4028/www.scientific.net/ddf.388.394

Cited by 5 publications

(5 citation statements)

References 22 publications

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“…using the Equations ( 9), ( 30)- (32) into Equations ( 24)-( 26), equating the coefficients of like powers of 𝑝, we get…”

Section: Homotopy Perturbation Methodsmentioning

confidence: 99%

“…Singh and Kumar [31] investigated heat and mass transmission in micropolar fluid flow in porous channel, considering chemical reaction with radiation influence. Mallikarjun et al [32] analysed fully developed mixed convection flow in vertical channel considering heat production or absorption and reaction of first order. Thermal and mass transport in the convective flow of Williamson fluid outside a cylinder via porous medium, under assumptions of the boundary layer, was investigated by Loganathan and Dhivya [33].…”

Section: Introductionmentioning

confidence: 99%

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Heat transfer characteristics in Williamson fluid flow in a vertical channel with chemical reaction and entropy production

Olkha,

Kumar

2024

Energ. Stor. Conv.

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This research endeavor investigates the natural convection flow of Williamson fluid in the region between two vertical parallel flat plates via porous medium. Impacts of viscous dissipation, joule heating, exponential space-and thermal-dependent heat sources (ESHS/THS) are invoked. Mass transfer is also studied accounting chemical reaction impact. The governing non-linear PDEs are reduced to ODEs in non-dimensional form under adequate transformation relations. The numerical technique, namely, Runge–Kutta fourth-order is utilized to tackle the problem with shooting method. Additionally, second law analysis is presented in terms of entropy production. The effects of numerous regulating parameters occurred in the problem relevant to flow, heat and mass transport, and entropy production are discussed via graphical mode of representation. Moreover, the quantities of physical significance are computed, displayed in graphical form, and discussed. For verification of acquired results, a comparison is also made using HPM with prior research and found to be in excellent agreement. It is concluded that the fluid temperature field enhances with upsurging values of pertinent parameters. The influence of the convective surface parameter and order of reaction are found to make augmentation in mass diffusion. Further, effect of Joule heating is noticed to rise rate of heat transfer while reverse scenario observed with upsurging values of heat source parameters. The influence of viscous dissipation is seen to grow entropy production.

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“…using the Equations ( 9), ( 30)- (32) into Equations ( 24)-( 26), equating the coefficients of like powers of 𝑝, we get…”

Section: Homotopy Perturbation Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Heat transfer characteristics in Williamson fluid flow in a vertical channel with chemical reaction and entropy production

Olkha,

Kumar

2024

Energ. Stor. Conv.

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“…Mohd et al (19) considered the flow of ferro fluid along a boundary layer and reported that Fe3O4-H2O has lower heat transfer rate than the Fe3O4-kerosene ferrofluid. The contribution done by the authors Venkateswarlu et al (20) , Patil et al (21) , Xiaobio and Xuegong (22) are the good results for the study of fluid flow through vertical channel with the influence of chemical reaction. Abbas et al (23) considered the Jeffrey fluid flow in a porous channel and analysed the impact of chemical reaction on it.…”

Section: Introductionmentioning

confidence: 97%

Mixed Convection of Williamson Fluid along an Inclined Porous Microchannel with Chemical Reaction by taking Non-Constant Thermal Conductivity: An Entropy Analysis

Manthesha¹,

Mallikarjun²,

Kavitha³

et al. 2021

IJST

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Objective: Mixed convection of Williamson fluid along an inclined porous microchannel with the influence of first-order chemical reaction is considered. The thermal conductivity kept varying throughout the flow. Boundaries of the channel are maintained with slip and jump conditions. With these conditions in this present article we are aimed to analyse the velocity, heat transfer and entropy generation in the flow. Method: The non-linear equations which govern the flow are tackled utilizing the bvp4c technique which involves the finite difference method and improved by using the Lobatto III formula. Findings: Fluid flow, heat transfer and entropy production analysis are done for the various estimations of the parameters which are affecting the flow, and the study highlights that non constant thermal conductivity and mixed convection parameters have to be maintained at lower values for the efficient energy transfer in the model. Entropy production shows the dual trend for distinct estimations of Weinsenberg number. Applications: The obtained result in the present study helps industries to analyse the efficient energy transfer in their engineering designs and thermal equipment's. Also the flow of non-Newtonian fluid has applications in the field of blood flow, lubrication and in many engineering devices such as micro heat exchangers, micro mixers, micro cooling systems.

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“…By using finite element analysis. Patil et al 15 have recently examined mixed convective flow while taking into account pair stress fluid flow and looking at mixed convection flow across vertical channel with first order chemical reaction, respectively. Anusha et al 16,17 investigated the Casson fluid with hybrid nanoparticles and the unsteady MHD flow resulting from porous media, respectively.…”

Section: Introductionmentioning

confidence: 99%

An impact of Richardson number on the inclined MHD mixed convective flow with heat and mass transfer

Mahabaleshwar,

Anusha,

Sachhin

et al. 2024

Heat Trans

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The two‐dimensional mixed convective MHD flow with heat and mass transfer is investigated for its behavior with Dufour and Soret mechanisms over the porous sheet. The copper–alumina (Cu–Al2O3) hybrid nanoparticles are used in the base fluid water. The governing system of partial differential equations is converted into a system of ordinary differential equations via similarity transformations, obtaining the solution for velocity, temperature, and concentration fields in exponential form. The problem is demonstrated in the Darcy–Brinkman model, the impact of included parameters such as Richardson number, magnetic field, and Dufour numbers are studied for the obtained solution with the help of graphs. Increasing the magnetic field decreases both transverse and axial velocity profiles. Increasing the magnetic field and Richardson's number decreases the solution (Al2O3–H2O). Increasing the values magnetic field and Richardson's number decreases both transverse and axial velocity profiles. Increasing the values of the Dufour effect increases the axial and transverse velocity boundary layer. The magnetohydrodynamic hybrid nanofluid flow over porous media works efficiently in liquid cooling and, therefore, has significant applications in industrial heating and cooling systems, solar energy, magnetohydrodynamic flow meters and pumps, manufacturing, regenerative heat exchange, thermal energy storage, solar power collectors, geothermal recovery, and chemical catalytic reactors.

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Finite-Element Analysis of Fully Developed Mixed Convection through a Vertical Channel in the Presence of Heat Generation/Absorption with a First-Order Chemical Reaction

Cited by 5 publications

References 22 publications

Heat transfer characteristics in Williamson fluid flow in a vertical channel with chemical reaction and entropy production

Heat transfer characteristics in Williamson fluid flow in a vertical channel with chemical reaction and entropy production

Mixed Convection of Williamson Fluid along an Inclined Porous Microchannel with Chemical Reaction by taking Non-Constant Thermal Conductivity: An Entropy Analysis

An impact of Richardson number on the inclined MHD mixed convective flow with heat and mass transfer

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