Homotopy analysis method for mixed convective boundary layer flow of a nanofluid over a vertical circular cylinder

Dinarvand, Saeed; Abbassi, Abbas; Hosseini, Reza; Pop, I.

doi:10.2298/tsci120225165d

Cited by 56 publications

(34 citation statements)

References 29 publications

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“…The field equations are numerically solved analytically by using homotopy analysis method. This method is originally advised by Liao [29] and later on many investigators computed their results by using this method [30][31][32][33][34]. In fact, homotopy analysis method is a series solution method for which the convergence of obtained solution is strictly depend on appropriate selection of auxiliary constants namely, f h , h  , s h and h  .…”

Section: Analysis Of Resultsmentioning

confidence: 99%

Thermo diffusion aspects in Jeffrey nanofluid over periodically moving surface with time dependent thermal conductivity

et al. 2021

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Double diffusion flow of Jeffrey fluid in presence of nanoparticles is studied theoretically under time dependent thermal conductivity. The considered nanoparticles are evaporated over convectively heated surface which moves periodically in its own plane. The appropriate dimensionless variables are employed to obtain the dimensionless forms of governing equations. We computed the analytical solution of nonlinear differential equations by utilizing homotopy analysis method. The present investigation reveals the features of various emerging parameters like Deborah number, combined parameter, oscillation frequency to stretching rate ratio, Prandtl number, Lewis number, thermophoresis parameter, Brownian motion parameter, nano Lewis number, modified Dufour parameter and Dufour solutal Lewis number. A useful enhancement in movement of nanoparticles is observed by utilizing the combined magnetic and porosity effects. Unlike traditional studies, present analysis is confined with the unsteady transportation phenomenon from periodically moving surfaces. Such computation may be attributable in flow results from tensional vibrations due to stretching and elastic surfaces. The simulation presented here can be attractable significance in the bioengineered nanoparticles manufacturing. It is observed that the heat transportation of nanoparticles may efficiently enhance through the utilization of variable thermal conductivity. The solutal concentration decreases with increasing Deborah number and Lewis number. It is further noted that the nano Lewis number causes reduction of nanoparticles concentration.

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Section: Analysis Of Resultsmentioning

confidence: 99%

Thermo diffusion aspects in Jeffrey nanofluid over periodically moving surface with time dependent thermal conductivity

et al. 2021

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“…Here viscous dissipation is neglected. Under these assumptions and using boundary layer approximations, the conservation laws are given as follows [2] [24][34]…”

Section: Formulation Of the Problemmentioning

confidence: 99%

“…The parameters of practical interest for the present problem are the skin-friction coefficient and the local Nusselt number which are given respectively by the following expressions [2][24].…”

Section: Formulation Of the Problemmentioning

confidence: 99%

“…The nanofluids have applications in cooling of electronics, heat exchanger, nuclear reactor safety, hyperthermia, biomedicine, engine cooling, vehicle thermal management and many others. Pop et al [2] investigated the mixed convective boundary layer flow of a nanofluid over a vertical circular cylinder using homotopy analysis method. A bulk of research articles on nanofluids and cylinder stretching flows are available in the literature in which few can be seen in the Refs.…”

Section: Introductionmentioning

confidence: 99%

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Slip Flow of Nanofluid Over A Stretching Vertical Cylinder in the Presence of Non-Linear Thermal Radiation and Non-Uniform Heat Source/Sink

Sravanthi

2017

Scientia Iranica

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An analysis is performed to study axisymmetric mixed convective boundary layer flow of a nanofluid over a vertical stretching circular cylinder in the presence of non-linear radiative heat flux. The effects of non-uniform heat source/sink and slip flow are also taken into consideration. Water as conventional base fluid containing nanoparticles of Copper (Cu) is used. By means of similarity transformations, the governing partial differential equations are reduced into highly non-linear ordinary differential equations and then solved analytically using Homotopy Analysis Method (HAM). A comparison is made with the available results in the literature and our results are in very good agreement with the known results. A parametric study of the physical parameters is made and results are presented through graphs and tables. The results indicate that, the thermal boundary layer is thicker for non-linear thermal radiation problem when compared with that of linear thermal radiation. It also found that heat transfer rate at the surface decreases with the increase in both space and time dependent heat source/sink parameters.

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“…The results were compared with the previous numerical studies and were shown to be in complete agreement. Homotopy based analytic solution for mixed convection flow of nanofluid past a vertical cylinder has been provided by Dinarvand et al [23] . Series solutions for flow of nanofluid past an exponentially stretching sheet were computed by Nadeem et al [24].…”

Section: Introductionmentioning

confidence: 99%

Chapter 6: Homotopy Analysis Method for Some Boundary Layer Flows of Nanofluids

Hayat¹,

Mustafa²

2013

Advances in the Homotopy Analysis Method

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This chapter describes the application of homotopy analysis method (HAM) to the nonlinear boundary value problems arising in nanofluid dynamics. The series solutions for some fundamental problems in fluid mechanics (including axisymmetric flow past a stretching sheet, unsteady boundary layer flow developed due to the impulsive motion of an extensible surface, squeezing flow between parallel disks and boundary layer flow of second grade fluid) involving nanofluids are computed and discussed.

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Homotopy analysis method for mixed convective boundary layer flow of a nanofluid over a vertical circular cylinder

Cited by 56 publications

References 29 publications

Thermo diffusion aspects in Jeffrey nanofluid over periodically moving surface with time dependent thermal conductivity

Thermo diffusion aspects in Jeffrey nanofluid over periodically moving surface with time dependent thermal conductivity

Slip Flow of Nanofluid Over A Stretching Vertical Cylinder in the Presence of Non-Linear Thermal Radiation and Non-Uniform Heat Source/Sink

Chapter 6: Homotopy Analysis Method for Some Boundary Layer Flows of Nanofluids

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