Thermal instability in Brinkman porous media with Cattaneo–Christov heat flux

Haddad, S. A. M.

doi:10.1016/j.ijheatmasstransfer.2013.09.039

Cited by 157 publications

(59 citation statements)

References 23 publications

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“…Hafeez et al 31 studied the flow of Oldroyd‐B fluid over a rotating disk with the Cattaneo‐Christov theory for heat and mass fluxes. Cattaneo‐Christov heat flux model in Brinkman porous medium is investigated by Haddad et al 32 The numerical investigation of Cattaneo‐Christov heat flux in CNT‐suspended nanofluid flow over a stretching porous surface with suction and injection has been carried out by Akbar et al 33…”

Section: Introductionmentioning

confidence: 99%

Features of Cattaneo‐Christov heat flux model for Stagnation point flow of a Jeffrey fluid impinging over a stretching sheet: A numerical study

2020

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The present work focuses on a two‐dimensional steady incompressible stagnation point flow of a Jeffery fluid over a stretching sheet. The Cattaneo‐Christov heat flux model is incorporated into this study. Simulation is conducted via the Runge‐Kutta fourth‐order cum shooting method for the transformed system of nonlinear equations. The influence of the governing parameters on the dimensionless velocity, temperature, skin friction, streamlines, and isotherms is incorporated. A significant outcome of the current investigation is that an increase in the relaxation time parameter uplifts temperature; however, a gradual decrease is observed in the velocity field. Another important outcome of the present analysis is that the momentum boundary layer augments due to an increase in the Deborah number; however, a decrease is observed in the temperature. Furthermore, it is also observed that the skin friction coefficient escalates with an increase in the relaxation time parameter for the assisting flow, but a reverse trend is observed for the opposing flow.

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Section: Introductionmentioning

confidence: 99%

Features of Cattaneo‐Christov heat flux model for Stagnation point flow of a Jeffrey fluid impinging over a stretching sheet: A numerical study

2020

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“…Tibullo and Zampoli [8] established uniqueness results for incompressible nature problems subjected to modified Fourier law. Haddad [9] scrutinized thermal volatility in the permeable Brinkman medium employing modified Fourier law. A modified Fourier analysis considering magneto-Casson material under hydromagnetic characteristics is communicated by Malik et al [10].…”

Section: Introductionmentioning

confidence: 99%

A modified Fourier-Fick analysis for modeling non-Newtonian mixed convective flow considering heat generation

et al. 2020

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Original scientific paper https://doi.org/10.2298/TSCI181005335AHomotopic solutions for Jeffrey material in frames of buoyancy forces are constructed in this research. The improved Fourier-Fick laws are considered for formulation. In addition, variable liquid aspects (thermal conductivity, mass diffusivity) along with heat source are accounted. Prandtl's boundary-layer idea is utilized to model the problem. Involvement of similarity variables resulted into non-linear system of coupled equations. The well-known homotopic scheme is employed for non-linear analysis. Besides, a comprehensive discussion is reported for arising dimensionless variables vs. significant profiles. Our results indicate a rise in thermal and solutal fields when variable conductivity and mass diffusivity parameters are increased.

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“…Ciarletta and Straughan [23] showed the structural stability and uniqueness of solutions for temperature equation by employing heat flux through Cattaneo-Christov theory. Haddad [24] studied thermal instability in Brinkman porous media by employing heat flux through Cattaneo-Christov expression. Mustafa [25] utilized the Cattaneo-Christov heat flux expression for rotating flow and heat transfer of Maxwell fluid.…”

Section: Introductionmentioning

confidence: 99%

Darcy-Forchheimer flow with Cattaneo-Christov heat flux and homogeneous-heterogeneous reactions

et al. 2017

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Here Darcy-Forchheimer flow of viscoelastic fluids has been analyzed in the presence of Cattaneo-Christov heat flux and homogeneous-heterogeneous reactions. Results for two viscoelastic fluids are obtained and compared. A linear stretching surface has been used to generate the flow. Flow in porous media is characterized by considering the Darcy-Forchheimer model. Modified version of Fourier's law through Cattaneo-Christov heat flux is employed. Equal diffusion coefficients are employed for both reactants and auto catalyst. Optimal homotopy scheme is employed for solutions development of nonlinear problems. Solutions expressions of velocity, temperature and concentration fields are provided. Skin friction coefficient and heat transfer rate are computed and analyzed. Here the temperature and thermal boundary layer thickness are lower for Cattaneo-Christov heat flux model in comparison to classical Fourier's law of heat conduction. Moreover, the homogeneous and heterogeneous reactions parameters have opposite behaviors for concentration field.

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Thermal instability in Brinkman porous media with Cattaneo–Christov heat flux

Cited by 157 publications

References 23 publications

Features of Cattaneo‐Christov heat flux model for Stagnation point flow of a Jeffrey fluid impinging over a stretching sheet: A numerical study

Features of Cattaneo‐Christov heat flux model for Stagnation point flow of a Jeffrey fluid impinging over a stretching sheet: A numerical study

A modified Fourier-Fick analysis for modeling non-Newtonian mixed convective flow considering heat generation

Darcy-Forchheimer flow with Cattaneo-Christov heat flux and homogeneous-heterogeneous reactions

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