Darcy-Forchheimer nanofluidic flow manifested with Cattaneo-Christov theory of heat and mass flux over non-linearly stretching surface

Rasool, Ghulam; Zhang, Ting

doi:10.1371/journal.pone.0221302

Cited by 74 publications

(46 citation statements)

References 51 publications

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“…Rasool et al [29] reported a Darcy relation in nanofluids flow over nonlinearly stretching sheet/surface resulting some interesting variations in heat and mass transport. In another article, Rasool and Zhang [30] reported the characteristics of Darcy relation and MHD (Magnetohydrodynamics) together with Cattaneo-Christov theory of heat and mass flux over nonlinearly stretching surface. The results were obtained through homotopy approach.…”

Section: Introductionmentioning

confidence: 99%

Entropy Generation and Consequences of Binary Chemical Reaction on MHD Darcy–Forchheimer Williamson Nanofluid Flow Over Non-Linearly Stretching Surface

Rasool

Zhang

Chamkha

et al. 2019

Entropy

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212

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The current article aims to present a numerical analysis of MHD Williamson nanofluid flow maintained to flow through porous medium bounded by a non-linearly stretching flat surface. The second law of thermodynamics was applied to analyze the fluid flow, heat and mass transport as well as the aspects of entropy generation using Buongiorno model. Thermophoresis and Brownian diffusion is considered which appears due to the concentration and random motion of nanoparticles in base fluid, respectively. Uniform magnetic effect is induced but the assumption of tiny magnetic Reynolds number results in zero magnetic induction. The governing equations (PDEs) are transformed into ordinary differential equations (ODEs) using appropriately adjusted transformations. The numerical method is used for solving the so-formulated highly nonlinear problem. The graphical presentation of results highlights that the heat flux receives enhancement for augmented Brownian diffusion. The Bejan number is found to be increasing with a larger Weissenberg number. The tabulated results for skin-friction, Nusselt number and Sherwood number are given. A decent agreement is noted in the results when compared with previously published literature on Williamson nanofluids.

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Section: Introductionmentioning

confidence: 99%

Entropy Generation and Consequences of Binary Chemical Reaction on MHD Darcy–Forchheimer Williamson Nanofluid Flow Over Non-Linearly Stretching Surface

Rasool

Zhang

Chamkha

et al. 2019

Entropy

Self Cite

212

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“…Shafiq et al 4 studied Casson Marangoni forced convection flow of nanofluid caused by temperature and concentration gradients over an infinite disk under the influence of inclined magnetic field. Rasool and Zhang 5 manifested Cattaneo–Christov model on heat and mass diffusion of nanofluid flow in non‐Darcian porous medium by a nonlinear stretching sheet. Rasool et al 6 interpreted the mechanism of forced convection flow of second grade nanofluid with Lorentz force and Maragoni effect.…”

Section: Introductionmentioning

confidence: 99%

Jeffrey nanofluid flow near a Riga plate: Spectral quasilinearization approach

2020

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This article attempts to report the flow mechanism of Jeffrey nanofluid flow on a Riga plate integrating the influences of viscous dissipation, irregular heat source/ sink, Brownian motion, and thermophoretic force. Nondimensionalization of mathematical model describing the flow system is accomplished by a set of compatible transformations. An accurate solution of ordinary differential equations is achieved by practicing spectral quasilinearization method. The present method is capable of giving results with good accuracy in few iterations, which infers speedy convergence. Solutionbased error norm (a measure of difference of approximate solution in two consecutive iteration level) is presented to authenticate precision of obtained approximate solution. The similarity between present approximate results and previously reported results is noted to check correctness. Obtained numerical solutions were replicated in a diagrammatic form to visualize the impact of flow parameters. Ratio of relaxation to retardation time produces an enhancing influence on momentum and nanoparticle concentration and a declining effect on the fluid temperature. Riga plate strengthens the momentum, which intensifies the transport of heat energy from boundary layer region, resulting in a reduction in fluid temperature. K E Y W O R D S convective boundary condition, electromagnetohydrodynamic, irregular heat generation/absorption, Jeffrey nanofluid, Riga plate, variable thermal conductivity

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“…A two‐phase fluid‐flow model is used by RamReddy et al considering mixed convection. Numerous related studies can be read in references and references cited therein.…”

Section: Introductionmentioning

confidence: 99%

Marangoni convective nanofluid flow over an electromagnetic actuator in the presence of first‐order chemical reaction

Rasool

Shafiq

Tlili

2019

Heat Trans. Asian Res.

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The present study aims to investigate Marangoni-forced convective nanofluid flow over an electromagnetic actuator (Riga plate). A first-order homogeneous chemical reaction is considered. The thermocapillary and solutocapillary Marangoni effect developed by the surface tension is considered as a driving force for the nanofluid. In addition, Grinberg-term is accounted to involve the impact of Lorentz force impinged by the actuator in the model. A set of nonlinear ordinary differential equations is obtained via suitable transformations for a nonsimilar analysis. Series solutions are achieved through homotopy to discuss the behavior of the velocity field, thermal distribution, and concentration of the nanoparticles graphically. The variation in Nusselt and Sherwood numbers is discussed. The outcomes declared that the flow parallel to the surface of the plate is assisted by the Lorentz forces generated by electromagnetic bars of the actuator resulting in an enhancement in the fluid motion. Furthermore, the stronger Marangoni effect resulted in the declining trend of the temperature profile. The concentration of nanoparticles near the surface reduced intensive chemical reaction inside the nanofluid. K E Y W O R D S

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Darcy-Forchheimer nanofluidic flow manifested with Cattaneo-Christov theory of heat and mass flux over non-linearly stretching surface

Cited by 74 publications

References 51 publications

Entropy Generation and Consequences of Binary Chemical Reaction on MHD Darcy–Forchheimer Williamson Nanofluid Flow Over Non-Linearly Stretching Surface

Entropy Generation and Consequences of Binary Chemical Reaction on MHD Darcy–Forchheimer Williamson Nanofluid Flow Over Non-Linearly Stretching Surface

Jeffrey nanofluid flow near a Riga plate: Spectral quasilinearization approach

Marangoni convective nanofluid flow over an electromagnetic actuator in the presence of first‐order chemical reaction

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