Cattaneo–Christov Heat Flux Model for Three-Dimensional Rotating Flow of SWCNT and MWCNT Nanofluid with Darcy–Forchheimer Porous Medium Induced by a Linearly Stretchable Surface

Shah, Zahir; Tassaddiq, Asifa; Islam, Saeed; Alklaibi, A.M.; Khan, Ilyas

doi:10.3390/sym11030331

Cited by 32 publications

(19 citation statements)

References 45 publications

(15 reference statements)

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“…The 3D magnetohydrodynamic (MHD) rotational nanofluid flow through a stretching surface was investigated in the study presented in [19]. Carbon nanotubes (SWCNTs and MWCNTs) were used as nano-sized constituents, and water was used as a base fluid.…”

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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Section: Methodologies and Usagesmentioning

confidence: 99%

Special Issue on Symmetry and Fluid Mechanics

Ellahi

2020

Symmetry

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“…In another article, Ramzan et al [40] extended the same study for third grade fluid with heat flux model of C-C. Alshomrani and Ullah [41] investigated the Forchheimer flow of CNTs. Shah et al [42] observed the flow of nanofluid containing CNTs with C-C model of heat flux. Now Newtonian fluids are in diverse types which have the multipart rheological properties dependent on their viscosity conduct as a function of shear rate, stress, deformation history etc.…”

Section: Introductionmentioning

confidence: 99%

Entropy Generation in MHD Second-Grade Nanofluid Thin Film Flow Containing CNTs with Cattaneo-Christov Heat Flux Model Past an Unsteady Stretching Sheet

et al. 2020

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Entropy generation plays a significant role in several complex processes, extending from cosmology to biology. The entropy generation minimization procedure can be applied for the optimization of mechanical systems including heat exchangers, elements of nuclear and thermal power plants, ventilation and air-conditioning systems. In order to present our analysis, entropy generation in a thin film flow of second grade nanofluid holding single-walled carbon nanotubes (SWCNTs) and multi-walled carbon nanotubes (MWCNTs) with a Cattaneo-Christov heat flux model is studied in this article. The flow is considered passing a linearly extending surface. A variable magnetic field with aligned angle ε is functioned along the extending sheet. With the aid of the homotopy analysis method (HAM), the fluid flow model is elucidated. The impressions of embedded factors on the flow are obtainable through figures and discussed in detail. It is observed that the velocity profile escalated with the increasing values of volume fraction of nanoparticles and second grade fluid parameter. The higher values of volume fraction of nanoparticles, second grade fluid parameter, non-linear heat source/sink, and thermal radiation parameter intensified the temperature profile. Surface drag force escalated with heightening values of nanoparticles volume fraction, unsteadiness, film thickness, magnetic, and second grade fluid parameters. Entropy generation increased with enhancing values of magnetic parameter, Brinkman number, and Reynolds number.Appl. Sci. 2020, 10, 2720 2 of 21 lubricating grease for seals, development of electronic chips and endoscopy scanning etc [1]. Initially, the thin film flow over an extending sheet was discussed by Wang [2,3]. Using similarity transformation, the reduced momentum equations to ordinary differential equation which was nonlinear governed by a no dimensional unstable parameter. Numerical and asymptotic techniques were used for solution. Further, Andersson et al. [4] advanced the idea of Wang towards the analysis of heat transfer. The research of thermally and electrically conductive thin film flow with heat transfer was further extended by Lue and Andersson [5]. Abel et al. [6] extended and modified the same idea of thin film flow analysis with viscous and joule dissipation impacts. Electrically and thermally conducting thin film flow of viscous fluid is modelled and studied mathematically in their work. Numerical method is used and impact of physical parameters is discussed briefly. Noor et al. [7] examined the thermal transmission scrutiny in a thin film over extending surface. Analytical approached is used for model nonlinear equations. Aziz et al. [8] studied thin film flow in the presence of heat generation process over a time dependent stretching surface. In their work, they used analytical technique for solution of the problem and important parameters are discussed in detail.Non-Newtonian thin film fluids have been a key area of research in different fields due to their vast applications in the fields of ...

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“…They considered the viscosity alongside thermal conductivity to vary in their exploration. Shah et al 14 elucidated the impact of Cattaneo–Christov heat flux on the nanofluid flow over a linearly stretchable surface. Hayat et al 15 considered the impact of Cattaneo–Christov heat flux on the Oldroyd‐B liquid motion.…”

Section: Introductionmentioning

confidence: 99%

Effects of Cattaneo–Christov heat flux analysis on heat and mass transport of Casson nanoliquid past an accelerating penetrable plate with thermal radiation and Soret–Dufour mechanism

2020

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In this analysis, the effect of Catteneo–Christov model on heat alongside mass transport magnetohydrodynamics of a Casson nanoliquid with thermal radiation and Soret–Dufour mechanism is considered. The fluid flow is considered through porous media as the thermophysical attributes such as viscosity along with thermal conductivity are considered to be constant. Suitable similarity transformations were employed on the governing coupled flow equation to yield total differential equations (ODE). An accurate and newly developed spectral method called spectral homotopy analysis method (SHAM) was employed to provide solution to the simplified equations. The numerical method of homotopy analysis method (HAM) is SHAM. SHAM portrays the division of nonlinear equations into linear as well as nonlinear parts. The findings in this study show that an increment in the Casson parameter is seen to elevate the velocity plot at the wall and lessen the velocity far away from the plate. An increase in the Brownian motion and thermophoresis term is observed to speed up the local skin friction coefficient.

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Cattaneo–Christov Heat Flux Model for Three-Dimensional Rotating Flow of SWCNT and MWCNT Nanofluid with Darcy–Forchheimer Porous Medium Induced by a Linearly Stretchable Surface

Cited by 32 publications

References 45 publications

Special Issue on Symmetry and Fluid Mechanics

Special Issue on Symmetry and Fluid Mechanics

Entropy Generation in MHD Second-Grade Nanofluid Thin Film Flow Containing CNTs with Cattaneo-Christov Heat Flux Model Past an Unsteady Stretching Sheet

Effects of Cattaneo–Christov heat flux analysis on heat and mass transport of Casson nanoliquid past an accelerating penetrable plate with thermal radiation and Soret–Dufour mechanism

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