Influence of MHD on Thermal Behavior of Darcy-Forchheimer Nanofluid Thin Film Flow over a Nonlinear Stretching Disc

Dawar, Abdullah; Shah, Zahir; Kumam, Poom; Khan, Waris; Islam, Saeed

doi:10.3390/coatings9070446

Cited by 22 publications

(13 citation statements)

References 42 publications

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“…The MHD flow of Darcy-Forchheimer nanofluid has been deliberated by Jawad et al [36]. Further relevant studies can be found in Shah et al [37], Khan et al [38], Nasir et al [39], Islam et al [40] and Ellahi et al [41]. Raju et al [42] has determined the MHD flow of nanofluids over a cone.…”

Section: Introductionmentioning

confidence: 99%

Darcy–Forchheimer Radiative Flow of Micropoler CNT Nanofluid in Rotating Frame with Convective Heat Generation/Consumption

et al. 2019

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Since 1991, from the beginning of the carbon nanotube era, this has been a focus point for investigation due to its synthetic and simple nature. Unique properties like good stiffness, high surface area, and resilience of carbon nanotubes (CNTs) have been investigated in many engineering applications such as hydrogen storage, composite material, energy storage, electrochemical super-capacitors, transistors, sensors, and field-emitting devices. Keeping in view these applications, we investigate single and multi-walled CNTs nanofluid flow having water as the base fluid between parallel and horizontal rotating plates with microstructure and inertial properties. The thermal radiation effect is considered for variable phenomenon of heat generation/consumption. The principal equations are first symmetrically transformed to a system of nonlinear coupled ordinary differential equations (ODEs), and then, Homotopy Analysis Technique (HAM) and numerical method are employed for solving these coupled equations. The obtained analytical and numerical results are explained graphically and through different tables. The HAM and numerical results show an excellent agreement. The Skin friction and the Nusselt number are numerically calculated and then analyzed with the already published results, and these results are found to be in agreement with one another. The impact of important parameters are shown graphically.

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Section: Introductionmentioning

confidence: 99%

Darcy–Forchheimer Radiative Flow of Micropoler CNT Nanofluid in Rotating Frame with Convective Heat Generation/Consumption

et al. 2019

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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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“…Ghadikolaei et al investigated the flow of a Casson nanofluid toward a slanted sheet. For detailed knowledge, see Refs …”

Section: Introductionmentioning

confidence: 99%

Numerical study of hydrodynamic flow of a Casson nanomaterial past an inclined sheet under porous medium

Anwar

Rafique

Misiran

et al. 2019

Heat Trans. Asian Res.

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The main aim of the current paper is to investigate the mass and heat transportation of a Casson nanomaterial generated by the inclination of the surface. The magnetic field effect along with suction or injection are considered. The working nanomaterial is taken into consideration based on the concept of the Buongiorno nanofluid theory, which explores the thermal efficiencies of liquid flows under movement of Brownian and thermophoretic phenomena. The emergent system of differential expressions is converted to dimensionless form with the help of the appropriate transformations.This system is numerically executed by the implementation of Keller-Box and Newton's schemes. A good agreement of results can be found with the previous data in a limiting approach. The behavior of the physical quantities under concern, including energy exchange, Sherwood number, and wall shear stress are portrayed through graphs and in tabular form. The Nusselt number and Sherwood number are found to diminish against the altered magnitudes of Brownian motion and the inclination parameter. Moreover, the velocity profile decreases with the growth of the inclination effect. In the same vein, the buoyancy force and solutal buoyancy effects show a direct relation with the velocity field. The outcomes have promising technological uses in liquidbased systems related to stretchable constituents. K E Y W O R D S Casson nanofluid, inclined surface, Keller-Box method, MHD ′ ′ ′ ′ J J J J J j j j j

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Influence of MHD on Thermal Behavior of Darcy-Forchheimer Nanofluid Thin Film Flow over a Nonlinear Stretching Disc

Cited by 22 publications

References 42 publications

Darcy–Forchheimer Radiative Flow of Micropoler CNT Nanofluid in Rotating Frame with Convective Heat Generation/Consumption

Darcy–Forchheimer Radiative Flow of Micropoler CNT Nanofluid in Rotating Frame with Convective Heat Generation/Consumption

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

Numerical study of hydrodynamic flow of a Casson nanomaterial past an inclined sheet under porous medium

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