Effect of Joule heating on the flow over an exponentially stretching sheet with convective thermal condition

Srinivasacharya, D.; Jagadeeshwar, P.

doi:10.1007/s40096-019-0290-8

Cited by 30 publications

(9 citation statements)

References 43 publications

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“…The researchers obtained results from their examination that MHD becomes the root for inclusion in the thermal transfer of fluid in addition to the melting effect causes a decrease in the flow temperature. Srinivasacharya and Jagadeeshwar 22 computed the numerical analysis for MHD and Joule heating effects on an exponentially stretching surface under convective thermal conditions. They implemented the Chebeshev collocation method to attain the desired results.…”

Section: Introductionmentioning

confidence: 99%

MHD rotating flow of a Maxwell fluid with Arrhenius activation energy and non‐Fourier heat flux model

Ramaiah¹,

Surekha

Gangadhar

et al. 2020

Heat Trans

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In the present work, the effects of the transfer of heat, as well as the mass phenomenon of a Maxwell fluid in revolving flow over a unidirectional stretching surface are discussed. The result of the magnetic field within the boundary layer is considered. In the energy equation, the heat flux model of non-Fourier Cattaneo-Christov is employed. The customized Arrhenius function for energy activation is used. By using the transformation strategy, nondimensional expressions are achieved. To predict the highlights of the current effort, the result of the emerging nonlinear differential structure is calculated with the aid of the shooting procedure as well as the Runge-Kutta Fehlberg procedure. The influence of velocity and temperature along with concentration profiles for various physical parameters is analyzed. The involvement of fluid relaxation and thermal retardation phenomena is unequivocally mentioned.The evolution of heat transfer, as well as the rate of mass in the flow of fluids, is illustrated by the use of graphs in addition to tables. Furthermore, the current effort is confirmed by examination with previously published results, which establishes a strategy for the execution of a numerical approach. It is observed that the concentration of a solute in dual combination is relative to both rotation parameters along with activation energy. Besides this, a diminishing pattern in the distribution of temperature is described within the existence of the Cattaneo-Christov flux law by association with the rate of heat transfer because of Fourier's law. The present investigation can be applied in numerous engineering and technical procedures including the development of thin sheets, modeling of plastic sheets, in the lubrication system industry related to polymers, compression, and injection shaping in the area of chemical production and bimolecular reactions. Inspired by those applications, the present work is undertaken. K E Y W O R D S Arrhenius activation energy, Cattaneo-Christov heat flux model, chemical reaction, Maxwell fluid, MHD, rotating frame

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Section: Introductionmentioning

confidence: 99%

MHD rotating flow of a Maxwell fluid with Arrhenius activation energy and non‐Fourier heat flux model

Ramaiah¹,

Surekha

Gangadhar

et al. 2020

Heat Trans

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“…In this study, a steady two‐dimensional boundary layer flow of micropolar fluid over an exponentially shrinking sheet is analysed. In real applications, this flow problem may occur in the process of aerodynamic extrusion of plastic sheets, design of chemical processing equipment and field coating for welded pipes ends 41,42 . The flow problem is represented by the Cartesian plane such that the x axis is parallel to the sheet, and the y axis is normal to it, as illustrated in Figure 1.…”

Section: Mathematical Formulationmentioning

confidence: 99%

Magnetohydrodynamics boundary layer flow of micropolar fluid over an exponentially shrinking sheet with thermal radiation: Triple solutions and stability analysis

Yahaya

Arifin

Isa

et al. 2021

Math Methods in App Sciences

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The flow of electrically conducting micropolar fluid past an exponentially permeable shrinking sheet in the presence of a magnetic field and thermal radiation is studied. Similarity transformations are applied to the governing partial differential equations to form ordinary differential equations. The solution for the resultant equations, subject to boundary conditions, is then computed numerically using the bvp4c solver in MATLAB. The effects of several parameters on the local skin friction coefficient, couple stress, Nusselt number, velocity, microrotation and temperature of the fluid are analysed. Because the numerical computations for this problem result in triple solutions, stability analysis is carried out to ascertain the stability and significance of these solutions. The first solution is revealed to be stable, hence more physically meaningful than the other solutions. Meanwhile, it is found that the increase in magnetic and thermal radiation parameters reduces the fluid temperature.

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“…Samuel (7) investigated the impact of hydromagnetic on Ohmic heating and viscous fluid on a porous sheet. Jagadeeshwar and Srinivasacharya (8) have numerically examined the heat transit of the Joule heating with convective boundary conditions on MHD fluid flow and they observed that the lower in Nusselt number as well as the higher in Biot number. The impact of Ohmic heating under the consideration of hydrodynamic flow through a stretching plate was deliberated by Gholinia et al (9) .…”

Section: Introductionmentioning

confidence: 99%

Effect of Uneven Heat Sink/Source and Nonlinear Radiation on Hydromagnetic Casson Fluid Flow Past an Inclined Elongating Sheet

Sulochana¹,

Savita²

2022

IJST

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Objectives:The present article investigates the steady flow of hydromagnetic Casson fluid flow past an inclined stretched sheet with the existence of nonlinear radiation and Joule heating effects. Methods: A numerical model is established and then solved using the BVP4c MATLAB technique. Findings: In this present work we described about the influence of the Grashof number, non-uniform heat source, Biot number, Casson fluid parameter, hydrodynamics, nonlinear radiation, chemical reaction, local Grashof number and Schmidt number parameters on the flow of mass and rate of heat transport was discussed through tabular result and graphs. It is clear that the rate of heat transport decreases with Joule heating and is higher with an increase in Biot numbers. Increases the amount of thermophoresis parameter and decreases with the rate of heat transport. Novelty: To the best extent of the authors' belief so far, no attempt is made to inspect the flow, thermal and mass transfer of uneven heat sink/source and non-linear radiation on hydromagnetic and embedded with the viscous dissipation, thermophoresis, Brownian diffusion, Joule heating and Casson fluid.

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Effect of Joule heating on the flow over an exponentially stretching sheet with convective thermal condition

Cited by 30 publications

References 43 publications

MHD rotating flow of a Maxwell fluid with Arrhenius activation energy and non‐Fourier heat flux model

MHD rotating flow of a Maxwell fluid with Arrhenius activation energy and non‐Fourier heat flux model

Magnetohydrodynamics boundary layer flow of micropolar fluid over an exponentially shrinking sheet with thermal radiation: Triple solutions and stability analysis

Effect of Uneven Heat Sink/Source and Nonlinear Radiation on Hydromagnetic Casson Fluid Flow Past an Inclined Elongating Sheet

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