Three-dimensional flow of Prandtl fluid with Cattaneo-Christov double diffusion

Hayat, Tasawar; Aziz, Arsalan; Muhammad, Taseer; Alsaedi, Ahmed

doi:10.1016/j.rinp.2018.02.065

Cited by 59 publications

(31 citation statements)

References 36 publications

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“…Meraj et al 12 described the Darcy-Forchheimer phenomenon in Cattaneo-Christov energy transport of the non-Newtonian Jeffrey fluid model by considering the variable conductivity features of a flowing material. An Oldroyd-B two-phase flow through Cattaneo-Christov energy-transportation theory under heat production and absorption is addressed by Reddy et al 13 Micropolar fluid flow in porous medium through the implication of the Maxwell-Cattaneo heat transport model is numerically exploited by Shehzad et al 14 Some recent investigations on the mechanism of heat transfer through Darcy-Forchheimer medium and C-C heat flux are reported in References [15][16][17][18][19][20][21][22][23][24].…”

Section: Introductionmentioning

confidence: 99%

Zero‐mass flux and Cattaneo–Christov heat flux through a Prandtl non‐Newtonian nanofluid in Darcy–Forchheimer porous space

et al. 2020

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The Darcy-Forchheimer Prandtl fluid flow due to moving sheet is described here. The familiar energy transfer model, namely, the Cattaneo-Christov model of heat transportation, is adopted under thermal radiation phenomenon. The Prandtl non-Newtonian nanofluid is accounted as a functioning fluid. The functioning fluid flows in Darcy-Forchheimer porosity space. The boundary-layer and similarity variables are executed to reframe the mathematical expressions into simplified and single independent variable. Numerical solutions of nonlinear dimensionless expressions are calculated. The variations of distinct constraints on important quantities are demonstrated through tabular and pictorial forms. It is visualized that the velocity of non-Newtonian nanofluid is enhanced significantly by incrementing the elastic parameter. Improving the thermophoretic and Brownian movement parametric values leads to higher profile of Prandtl nanofluid temperature.

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Section: Introductionmentioning

confidence: 99%

Zero‐mass flux and Cattaneo–Christov heat flux through a Prandtl non‐Newtonian nanofluid in Darcy–Forchheimer porous space

et al. 2020

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“…The nonlinear system of equations is obtained through suitable transformations. Analytical solutions are computed by the optimal homotopy analysis method (OHAM) [39][40][41][42][43][44][45][46][47][48][49] . Aspects of emerging parameters are physically illustrated.…”

Section: Introductionmentioning

confidence: 99%

Darcy-Forchheimer flow with nonlinear mixed convection

Hayat

Haider

Alsaedi

2020

Appl. Math. Mech.-Engl. Ed.

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An analysis of the mixed convective flow of viscous fluids induced by a nonlinear inclined stretching surface is addressed. Heat and mass transfer phenomena are analyzed with additional effects of heat generation/absorption and activation energy, respectively. The nonlinear Darcy-Forchheimer relation is deliberated. The dimensionless problem is obtained through appropriate transformations. Convergent series solutions are obtained by utilizing an optimal homotopic analysis method (OHAM). Graphs depicting the consequence of influential variables on physical quantities are presented. Enhancement in the velocity is observed through the local mixed convection parameter while an opposite trend of the concentration field is noted for the chemical reaction rate parameter.

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“…Bidirectional flow of radiative viscoelastic nanomaterial driven by an expandable sheet in the existence of internal energy was studied by Hayat et al 25 Mass transportation impact on bidirectional flow of a chemically reacted Prandtl nanomaterial over a plane obstacle is described by Kumar et al 26 Double stratification effects on bidirectional flow of a mixed convective Oldroyd‐B nanomaterial driven by a deformable sheet were studied by Hayat et al 27 The significance of improved heat plus mass fluxes on bidirectional flow of a Eyring–Powell nanoliquid moved by a deformable sheet is also illustrated by Hayat and Nadeem 28 . Bidirectional flow of a Prandtl nanoliquid with the theories of modified Fourier–Fick's laws is scrutinized by Hayat et al 29 Ahmad et al 30 investigated the unsteady flow of magneto‐nanomaterial over a bidirectionally deformable sheet with the significances of a prescribed heat mechanism and porous space with the help of Keller–Box scheme. Bidirectional flow of a nanoliquid over a stretchable surface with convective boundary conditions was studied by Hayat et al 31 Unsteady flow of a nanomaterial over a bidirectionally deformable sheet with the help of modified Fourier–Fick's theories and variable thermal conditions was numerically inspected by Ahmad et al 32 …”

Section: Introductionmentioning

confidence: 99%

Actions of viscous dissipation and Ohmic heating on bidirectional flow of a magneto‐Prandtl nanofluid with prescribed heat and mass fluxes

2020

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The present contribution determines the impacts of viscous dissipation and Ohmic heating with magnetic coating on Prandtl nanofluid flow driven by an unsteady bidirectionally moveable surface. Random motion of nanoparticles and thermophoretic diffusion are elaborated through a two-phase nanofluid model. The novelty of the investigation is fortified by prescribed heat flux and prescribed mass flux mechanisms. The appropriate combination of variables leads to a system of strong nonlinear ordinary differential equations. The formulated nonlinear system is then tackled by an efficient numerical scheme, namely, the Keller-Box method. Nanoliquidtemperature and mass-concentration distributions are conferred through various plots with the impacts of miscellaneous-arising parameters. The rates of heat and mass transferences are also discussed through tables. The thermal states of the nanomaterial and mass concentration are reduced for incremental amounts of the unsteady factor, ratio parameter, elastic parameter, and Prandtl fluid parameter. Moreover, escalating amounts of the Brownian parameter, Eckert number, magnetic Abbreviations: KBM, Keller-Box method; PHF, prescribed heat flux; PMF, prescribed mass flux. factor, and thermophoresis parameter enhances the temperature of the nanoliquid. An error analysis is also presented to predict the efficiency of the method used for the computational work.

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Three-dimensional flow of Prandtl fluid with Cattaneo-Christov double diffusion

Cited by 59 publications

References 36 publications

Zero‐mass flux and Cattaneo–Christov heat flux through a Prandtl non‐Newtonian nanofluid in Darcy–Forchheimer porous space

Zero‐mass flux and Cattaneo–Christov heat flux through a Prandtl non‐Newtonian nanofluid in Darcy–Forchheimer porous space

Darcy-Forchheimer flow with nonlinear mixed convection

Actions of viscous dissipation and Ohmic heating on bidirectional flow of a magneto‐Prandtl nanofluid with prescribed heat and mass fluxes

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