Influence of Cattaneo–Christov Heat Flux on MHD Jeffrey, Maxwell, and Oldroyd-B Nanofluids with Homogeneous-Heterogeneous Reaction

Saeed, Anwar; Islam, Saeed; Dawar, Abdullah; Shah, Zahir; Khan, Waris

doi:10.3390/sym11030439

Cited by 32 publications

(21 citation statements)

References 48 publications

(50 reference statements)

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“…To obtain the analytical solution of Equations to , we use HAM and the results obtained from HAM are compared with numerical results obtained by using the parallel shooting method. Many problems in mathematics are complex in nature and to find the exact solution is almost very difficult or even impossible.…”

Section: Resultsmentioning

confidence: 99%

Soret and Dufour effects between two rectangular plane walls with heat source/sink

Ali

Iqbal

Marwat

et al. 2019

Heat Trans. Asian Res.

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This study addresses the thermo-diffusion and the diffusion-thermo phenomena in a semi-infinite absorbent channel whose walls are contracting/expanding, with heat source/sink effects. The governing partial differential equations with suitable boundary conditions are transformed to a system of dimensionless ordinary differential equations. An analytic solution of the problem has been found using a technique called homotopy analysis method (HAM). HAM gives consistently valid answers to the problem over an extensive variety of parameters and also provides better accuracy. To validate the analytical results, a comparison has been presented with a numerical solution calculated by using the parallel shooting method. The effects of dimensionless parameters, that is, deformation parameter, Reynolds number, Soret and Dufour numbers, and heat source/sink parameter on the expressions of velocity, temperature, and concentration profiles are analyzed graphically to understand the physics of the deformable channel. It has been noted that the velocity across the channel is higher for the expanding channel, as compared to that for the contracting channel. Also the Soret and Dufour number increases the temperature of the fluid, and decreases the concentration. The temperature profile has an increasing behavior in the case of heat source, and a decreasing behavior in the case of heat sink. K E Y W O R D S deformable porous channel, heat and mass transfer, heat source/sink, incompressible fluid, Soret and Dufour effects | INTRODUCTIONThe study of laminar flow inside parallel porous walls is substantial because of its applications in engineering, biological sciences, and chemistry. The flow between parallel porous walls is an old question and the models for such flow for different physical situations improved with the passage of time. The simplest model for the flow in infinite parallel walls was described by Poiseuille 1 with the assumptions of steady, laminar, incompressible, and one dimensional flow. Hagen and Poiseuille had presented the theory of the flow through a straight pipe and considered rotational symmetry and constant pressure gradient. Similarly, flow in an infinite long channel with top suction and bottom injection, and unsteady flow in an infinite channel with oscillating pressure are also discussed in the literature. These initial models were expressed in one dimension and were consistent to certain approximations. Berman 2 was the first to consider laminar, two dimensional, incompressible, viscous flows that occurred due to the uniform suction between rectangular parallel and semi-infinite porous walls. He derived his solution using the perturbation technique assuming that Reynolds number is small. His work was later extended by various authors for numerous values of Reynolds number and varying flow conditions (see Sellars, 3 Proudman, 4 and Terill 5 ). Oscillatory flow in a channel has been studied by Ali and Asghar 6 for the case of small suction. Marwat and Asghar 7 investigated the flow between inclined plane w...

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Section: Resultsmentioning

confidence: 99%

Soret and Dufour effects between two rectangular plane walls with heat source/sink

Ali

Iqbal

Marwat

et al. 2019

Heat Trans. Asian Res.

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“…The research article in [14] deals with the determination of magnetohydrodynamic steady flow of three combined nanofluids (Jefferey, Maxwell and Oldroyd-B) over a stretched surface. The surface was considered to be linear.…”

Section: Methodologies and Usagesmentioning

confidence: 99%

Special Issue on Symmetry and Fluid Mechanics

Ellahi

2020

Symmetry

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This Special Issue invited researchers to contribute their original research work and review articles on “Symmetry and Fluid Mechanics” that either advances the state-of-the-art mathematical methods through theoretical or experimental studies or extends the bounds of existing methodologies with new contributions related to the symmetry, asymmetry, and lie symmetries of differential equations proposed as mathematical models in fluid mechanics, thereby addressing current challenges. In response to the call for papers, a total of 42 papers were submitted for possible publication. After comprehensive peer review, only 25 papers qualified for acceptance for final publication. The rest of the papers could not be accommodated. The submissions may have been technically correct but were not considered appropriate for the scope of this Special Issue. The authors are from geographically distributed countries such as the USA, Australia, China, Saudi Arabia, Iran, Pakistan, Malaysia, Abu Dhabi, UAE, South Africa, and Vietnam. This reflects the great impact of the proposed topic and the effective organization of the guest editorial team of this Special Issue.

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“…Tanveer et al 17 analyzed 2D viscous fluid flow with the Cattaneo‐Christov heat flux model with the Soret effect and peristalsis. Saeed et al 18 computed active autoreactants and catalysts of MHD steady flow of the Maxwell, Jeffery, and Oldroyd‐B fluids with the Cattaneo‐Christov heat flux model due to a stretching sheet. Also, Zhang et al 19 have investigated the flow and heat transfer of a Maxwell viscoelastic fluid with the Cattaneo‐Christov flux heat model.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear mixed convection flow of a tangent hyperbolic fluid with activation energy

Ibrahim

Gizewu

2020

Heat Trans

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In this communication, the dynamics of a non‐Newtonian tangent hyperbolic fluid with nanoparticles past a nonuniformly thickened stretching surface is discussed. We examine the impact of nonlinear mixed convection flow of a hyperbolic tangent fluid with the Cattaneo‐Christov heat and mass diffusion model past a bidirectional stretching surface. The effects of activation energy and magnetic field are incorporated in the analysis. The variables of transformations are used to change the nonlinear partial differential equations into ordinary differential equations (ODEs). Then, these ODEs are numerically solved using the Matlab routine of the bvp4c algorithm. The derailed analysis of the influences of the governing parameters on velocities along the x‐ and y‐axes, temperature and concentration profiles are presented using tables and figures. The outcomes of these parameters reveal that the velocities along the x‐ and y‐axes are decreased for the values of We increasing but the opposite behavior is observed as the value of A increases. The results also show that the values of e and N b rise as the temperature profiles increase. Similar influences are observed on the profile of concentration as the values of F and f rise. As the values of N 1 go from 0.27 to 0.25, the skin‐friction coefficient increases, and similarly, as N b goes from 0.3 to 0.1, − θ false′ false( 0 false) is enhanced.

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Influence of Cattaneo–Christov Heat Flux on MHD Jeffrey, Maxwell, and Oldroyd-B Nanofluids with Homogeneous-Heterogeneous Reaction

Cited by 32 publications

References 48 publications

Soret and Dufour effects between two rectangular plane walls with heat source/sink

Soret and Dufour effects between two rectangular plane walls with heat source/sink

Special Issue on Symmetry and Fluid Mechanics

Nonlinear mixed convection flow of a tangent hyperbolic fluid with activation energy

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