Effects of mass transfer on MHD second grade fluid towards stretching cylinder: A novel perspective of Cattaneo–Christov heat flux model

Alamri, Sultan Z.; Khan, A. A.; Azeez, M.A.; Ellahi, R.

doi:10.1016/j.physleta.2018.10.035

Cited by 198 publications

(82 citation statements)

References 30 publications

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“…An exact solution is obtained, and it is found that the presence of solution is connected to the indication of material moduli and in stamped complexity to the classical Newtonian, liquid arrangements can be shown for the blowing problem. Alamri et al [45] probed the MHD second-grade fluid past an extending sheet using C-C model of heat flux.…”

Section: Introductionmentioning

confidence: 99%

Entropy Generation in MHD Second-Grade Nanofluid Thin Film Flow Containing CNTs with Cattaneo-Christov Heat Flux Model Past an Unsteady Stretching Sheet

et al. 2020

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Entropy generation plays a significant role in several complex processes, extending from cosmology to biology. The entropy generation minimization procedure can be applied for the optimization of mechanical systems including heat exchangers, elements of nuclear and thermal power plants, ventilation and air-conditioning systems. In order to present our analysis, entropy generation in a thin film flow of second grade nanofluid holding single-walled carbon nanotubes (SWCNTs) and multi-walled carbon nanotubes (MWCNTs) with a Cattaneo-Christov heat flux model is studied in this article. The flow is considered passing a linearly extending surface. A variable magnetic field with aligned angle ε is functioned along the extending sheet. With the aid of the homotopy analysis method (HAM), the fluid flow model is elucidated. The impressions of embedded factors on the flow are obtainable through figures and discussed in detail. It is observed that the velocity profile escalated with the increasing values of volume fraction of nanoparticles and second grade fluid parameter. The higher values of volume fraction of nanoparticles, second grade fluid parameter, non-linear heat source/sink, and thermal radiation parameter intensified the temperature profile. Surface drag force escalated with heightening values of nanoparticles volume fraction, unsteadiness, film thickness, magnetic, and second grade fluid parameters. Entropy generation increased with enhancing values of magnetic parameter, Brinkman number, and Reynolds number.Appl. Sci. 2020, 10, 2720 2 of 21 lubricating grease for seals, development of electronic chips and endoscopy scanning etc [1]. Initially, the thin film flow over an extending sheet was discussed by Wang [2,3]. Using similarity transformation, the reduced momentum equations to ordinary differential equation which was nonlinear governed by a no dimensional unstable parameter. Numerical and asymptotic techniques were used for solution. Further, Andersson et al. [4] advanced the idea of Wang towards the analysis of heat transfer. The research of thermally and electrically conductive thin film flow with heat transfer was further extended by Lue and Andersson [5]. Abel et al. [6] extended and modified the same idea of thin film flow analysis with viscous and joule dissipation impacts. Electrically and thermally conducting thin film flow of viscous fluid is modelled and studied mathematically in their work. Numerical method is used and impact of physical parameters is discussed briefly. Noor et al. [7] examined the thermal transmission scrutiny in a thin film over extending surface. Analytical approached is used for model nonlinear equations. Aziz et al. [8] studied thin film flow in the presence of heat generation process over a time dependent stretching surface. In their work, they used analytical technique for solution of the problem and important parameters are discussed in detail.Non-Newtonian thin film fluids have been a key area of research in different fields due to their vast applications in the fields of ...

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Section: Introductionmentioning

confidence: 99%

Entropy Generation in MHD Second-Grade Nanofluid Thin Film Flow Containing CNTs with Cattaneo-Christov Heat Flux Model Past an Unsteady Stretching Sheet

et al. 2020

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“…Cattaneo [2] introduced thermal relaxation time so as to produce the hyperbolic energy equation which permitted the heat transport through the transmission of thermal waves with finite speed. The theory of Cattaneo was further improved by Christov [3] who replaced the time derivative in the Cattaneo's model by the Oldroyd's upper-convective derivative [4] that preserved the material-invariant formulation and that became prominent as Cattaneo-Christov heat flux. Ciarletta and Straughan [5] analyzed the stability and uniqueness of the solution of the energy equation for Cattaneo-Christov heat flux model.…”

Section: Introductionmentioning

confidence: 99%

Effect of Brownian Diffusion on Squeezing Elastico-Viscous Nanofluid Flow with Cattaneo-Christov Heat Flux Model in a Channel with Double Slip Effect

Karim¹,

Samad²

2020

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The present study deals with the analysis of heat transfer of the unsteady Maxwell nanofluid flow in a squeezed rotating channel of a porous extensile surface subject to the velocity and thermal slip effects incorporating the theory of heat flow intensity of Cattaneo-Christov model for the expression of the energy distribution in preference to the classical Fourier's law. A set of transformations is occupied to renovate the current model in a system of nonlinear ordinary differential equations that are numerically decoded with the help of MATLAB integrated function bvp4c. The effects of various flow control parameters are investigated for the momentum, temperature and diffusion profiles, as well as for the wall shearing stress and the heat and mass transfer. The results are finally described from the material point of view. A comparison of heat flux models of Cattaneo-Christov and Fourier is also performed. An important result from the present work is that the squeezing parameter is strong enough in the middle of the channel to retard the fluid flow. How to cite this paper: Karim, M.E. and Samad, M.A. (2020) Effect of Brownian Diffusion on Squeezing Elastico-Viscous Nanofluid Flow with Cattaneo-Christov Heat Flux Model in a Channel with Double Slip Effect. Applied Mathematics, 11, 277-291.

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“…Nanofluid has been obtained to possess enhanced thermophysical features such as thermal conductivity, thermal diffusively, viscosity and convective heat transfer coefficients compared to those of base fluids like oil or water [21]. For more details see [19][20][21][22][23][24][25][26][27][28][29][30][31].…”

Section: Introductionmentioning

confidence: 99%

Reproducing kernel Hilbert space method based on reproducing kernel functions for investigating boundary layer flow of a Powell–Eyring non-Newtonian fluid

Akgül

2019

Journal of Taibah University for Science

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In this work, the boundary layer flow of a Powell-Eyring non-Newtonian fluid over a stretching sheet has been investigated by a reproducing kernel method. Reproducing kernel functions are used to obtain the solutions. The approximate solutions are demonstrated, and the proposed technique is compared with some well-known methods. Convergence analysis of the technique is presented. The accuracy of the reproducing kernel method has been proved.

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Effects of mass transfer on MHD second grade fluid towards stretching cylinder: A novel perspective of Cattaneo–Christov heat flux model

Cited by 198 publications

References 30 publications

Entropy Generation in MHD Second-Grade Nanofluid Thin Film Flow Containing CNTs with Cattaneo-Christov Heat Flux Model Past an Unsteady Stretching Sheet

Entropy Generation in MHD Second-Grade Nanofluid Thin Film Flow Containing CNTs with Cattaneo-Christov Heat Flux Model Past an Unsteady Stretching Sheet

Effect of Brownian Diffusion on Squeezing Elastico-Viscous Nanofluid Flow with Cattaneo-Christov Heat Flux Model in a Channel with Double Slip Effect

Reproducing kernel Hilbert space method based on reproducing kernel functions for investigating boundary layer flow of a Powell–Eyring non-Newtonian fluid

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