Thermally stratified flow of Jeffrey fluid with homogeneous-heterogeneous reactions and non-Fourier heat flux model

Ijaz, M.; Ayub, M.

doi:10.1016/j.heliyon.2019.e02303

Cited by 23 publications

(8 citation statements)

References 52 publications

(48 reference statements)

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“…Hayat et al [21] discussed the influence of double stratified convective Jeffrey fluid flow due to inclined cylinder along with heat generation/absorption. Ijaz and Ayub [22] explored mixed convective Jeffrey fluid flow near axisymmetric stagnation point flow in view of a permeable angular cylinder with homogeneous-heterogeneous reactions are considered. Hayat et al [23] studied boundary layer flow and heat transference effects in Jeffrey nanofluid flow with thermal conductivity, and radiation influence is taken to be temperature-dependent.…”

Section: Introductionmentioning

confidence: 99%

Effects of Joule Heating and Viscous Dissipation on Magnetohydrodynamic Boundary Layer Flow of Jeffrey Nanofluid over a Vertically Stretching Cylinder

et al. 2021

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This article investigates unsteady magnetohydrodynamic (MHD) mixed convective and thermally radiative Jeffrey nanofluid flow in view of a vertical stretchable cylinder with radiation absorption and heat; the reservoir was addressed. The mathematical formulation of Jeffrey nanofluid is established based on the theory of boundary layer approximations pioneered by Prandtl. The governing model expressions in partial differential equations (PDEs) form was transformed into dimensionless form via similarity transformation technique. The set of nonlinear nondimensional partial differential equations are solved with the help of the homotopic analysis method. For the purpose of accuracy, the optimizing system parameters, convergence, and stability analysis of the analytical algorithm (CSA) were performed graphically. The velocity, temperature, and concentration flow are studied and shown graphically with the effect of system parameters such as Grashof number, Hartman number, Prandtl number, thermal radiation, Schmidt number, Eckert number, Deborah number, Brownian parameter, heat source parameter, thermophoresis parameter, and stretching parameter. Moreover, the consequence of system parameters on skin friction coefficient, Nusselt number, and Sherwood number is also examined graphically and discussed.

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Section: Introductionmentioning

confidence: 99%

Effects of Joule Heating and Viscous Dissipation on Magnetohydrodynamic Boundary Layer Flow of Jeffrey Nanofluid over a Vertically Stretching Cylinder

et al. 2021

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“…The geometry of the problem is shown in Figure 1. The Jeffrey fluid constitutive equation is given by [34,35] as,…”

Section: Problem Statement and Mathematical Formulationmentioning

confidence: 99%

MHD Laminar Boundary Layer Flow of a Jeffrey Fluid Past a Vertical Plate Influenced by Viscous Dissipation and a Heat Source/Sink

Muzara

Shateyi

2021

Mathematics

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This study investigates the effects of viscous dissipation and a heat source or sink on the magneto-hydrodynamic laminar boundary layer flow of a Jeffrey fluid past a vertical plate. The governing boundary layer non-linear partial differential equations are reduced to non-linear ordinary differential equations using suitable similarity transformations. The resulting system of dimensionless differential equations is then solved numerically using the bivariate spectral quasi-linearisation method. The effects of some physical parameters that include the Schmidt number, Eckert number, radiation parameter, magnetic field parameter, heat generation parameter, and the ratio of relaxation to retardation times on the velocity, temperature, and concentration profiles are presented graphically. Additionally, the influence of some physical parameters on the skin friction coefficient, local Nusselt number, and the local Sherwood number are displayed in tabular form.

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“…Stratified thermal motion of Jeffrey liquid with the heat flux non-Fourier model has been examined by Ijaz and Ayub. 17 They concluded in their study that a large stratification number degenerates the temperature plot. Hayat et al 18 elucidate the temperature as well as concentration stratification impact on the motion of Oldroyd-B fluid.…”

Section: Introductionmentioning

confidence: 98%

“…In their study, an analytical solution was obtained and the results show that a large stratification parameter degenerates the velocity plot. Stratified thermal motion of Jeffrey liquid with the heat flux non‐Fourier model has been examined by Ijaz and Ayub 17 . They concluded in their study that a large stratification number degenerates the temperature plot.…”

Section: Introductionmentioning

confidence: 99%

Effects of heat and mass transfer on MHD nonlinear free convection non‐Newtonian fluids flow embedded in a thermally stratified porous medium

2021

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This communication examines heat alongside mass transport in a nonlinear free convection magnetohydrodynamics (MHD) non‐Newtonian fluid flow with thermal radiation and heat generation deep‐rooted in a thermally stratified penetrable medium. The Casson and Williamson fluid considered in this communication flos simultaneously across the boundary layer and are mixed together. The model of heat alongside mass transport is set up with chemical reaction and thermal radiation alongside heat generation to form a system of partial differential equations (PDEs). Appropriate similarity variables are used to simplify the PDEs to obtain systems of coupled ordinary differential equations. An efficiently developed numerical approach called the spectral homotopy analysis method was used in providing solutions to the transformed equations. A large value of Casson term is observed to degenerate the velocity plot while the Williamson parameter enhances the velocity profile. The parameter of thermal stratification is found to enhance the rate of heat transport within the boundary layer. An incremental value of the magnetic parameter declines the velocity of the fluid and the entire boundary layer thickness. The present result was compared with previous studies and was seen to be in good agreement.

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Thermally stratified flow of Jeffrey fluid with homogeneous-heterogeneous reactions and non-Fourier heat flux model

Cited by 23 publications

References 52 publications

Effects of Joule Heating and Viscous Dissipation on Magnetohydrodynamic Boundary Layer Flow of Jeffrey Nanofluid over a Vertically Stretching Cylinder

Effects of Joule Heating and Viscous Dissipation on Magnetohydrodynamic Boundary Layer Flow of Jeffrey Nanofluid over a Vertically Stretching Cylinder

MHD Laminar Boundary Layer Flow of a Jeffrey Fluid Past a Vertical Plate Influenced by Viscous Dissipation and a Heat Source/Sink

Effects of heat and mass transfer on MHD nonlinear free convection non‐Newtonian fluids flow embedded in a thermally stratified porous medium

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