Radiation effects on mixed convection about a cone embedded in a porous medium filled with a nanofluid

Chamkha, Ali J.; Abbasbandy, Saeid; Rashad, A. M.; Vajravelu, K.

doi:10.1007/s11012-012-9599-1

Cited by 136 publications

(66 citation statements)

References 31 publications

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“…For the above reason, the local Nusselt number decreases nonlinearly with Gr. A comparable result was made in the case of the radiation parameter, a similar finding with the results of Chamkha et al 30 The effects of the three different geometries are very clear in Figure 8, mainly for different radiation parameters. The thermal boundary layer thickness is higher for the plate and lower for the cone.…”

Section: Resultssupporting

confidence: 89%

“…The effect of the convective boundary condition along with the suction and injection on a flat horizontal surface has been investigated by Ishak . Later, many researchers have worked in this direction, such as Shaw et al, Khan et al, and Chamkha et al, showed the impact of the radiation effect on a mixed convection boundary layer flow over a vertical cone. Hady et al discussed the impact of radiation and viscous dissipation on the viscous flow of a nanofluid over a nonlinear stretching sheet.…”

Section: Introductionmentioning

confidence: 99%

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Nanofluid flow over three different geometries under viscous dissipation and thermal radiation using the local linearization method

Shaw

Motsa

Sibanda

2019

Heat Trans. Asian Res.

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This study deals with the transfer of mass and heat of nanofluid flow over three different geometries of the non‐Darcy permeable vertical cone/wedge/vertical plate. Influence of the Brownian motion and thermophoresis takes place due to the nanofluid. Boundary condition on the temperature is introduced at the surface where the thermal conductivity of the fluid obeys a linear relation with the temperature. The local linearization method is introduced for solving the governing equations, and is based on spectral discretization. To verify the numerical scheme, we compared our results with those in the existing literature. The impact of the governing parameters on the fluid velocity, temperature distribution, and concentration distribution of nanoparticles along with the Nusselt number and Sherwood number is discussed. Some important outcomes of the present study are that the Nusselt number is higher for the plane plate than that for the vertical cone and it significantly decreases with introduction of the radiation parameter. The nanofluid Lewis number decreases the diffusivity of mass of the nanofluid, and as a result it helps enhance the Sherwood number.

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Section: Resultssupporting

confidence: 89%

Section: Introductionmentioning

confidence: 99%

Nanofluid flow over three different geometries under viscous dissipation and thermal radiation using the local linearization method

Shaw

Motsa

Sibanda

2019

Heat Trans. Asian Res.

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“…Cheng studied the natural convection of a nanofluid in a porous medium near a truncated cone considering uniform wall temperature and the nanoparticle volume fraction. The combined impact of thermal radiation with Rosseland diffusion approximation, Brownian motion, and thermophoresis on mixed convection flow past a vertical cone in a nanofluid saturated porous medium was examined by Chamkha et al Rashad and Chamkha studied natural convection flow behavior owing to chemical reaction, thermal radiation, and Soret and Dufour effects about a truncated cone in porous media with non‐Darcian boundary and inertia effects. Rashad et al made an observation on heat transfer by natural convection of a nanofluid near a vertical cylinder in a non‐Darcy porous medium.…”

Section: Introductionmentioning

confidence: 99%

“…26 Siddiqa et al 27 presented numerical results for the natural convection flow of a two-phase dusty nanofluid along a vertical wavy frustum of a cone. Khan et al 28 This communication aims to present a revised model integrating solute flux along with Soret and Dufour effects in a model reported by Chamkha et al 22 and explain an efficient algorithm capable of handling a system of nonlinear coupled PDEs. The coupled nonlinear partial differential equations representing the flow are nondimensionalized and put into homogeneous form.…”

Section: Introductionmentioning

confidence: 99%

An application of paired quasilinearization on double‐diffusive convection flow over a cone embedded in a porous medium in the presence of nanoparticles

Otegbeye

Motsa

Ansari

2019

Heat Trans. Asian Res.

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Mixed convection flow of a nanofluid near a vertical cone embedded in a a porous medium with Soret and Dufour effects is exercised. The bearing of a porous medium is recounted by the Darcy model. The partial differential equations, modeling the concerned problem, is nondimensionalised by implementing compatible transformations, which results in a similar form. A new paired spectral quasilinearization method is adopted to get the accurate numerical solution. Convergence and accuracy of the solution is elaborated by analyzing the norm of residual and solution errors. Alteration of velocity, temperature, nanoparticle and solute concentration profiles due to flow controlling parameters, namely, Brownian motion, thermophoresis, Soret, Dufour, Lewis number, and buoyancy ratio is outlined by reproducing the obtained numerical solution in graphs and tables. Analysis reveals that the flow profiles are greatly influenced by the physical parameters under investigation.

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“…Cheng [7] discussed natural convection in boundary layer flow over a truncated cone embedded in a porous medium. Chamkha et al [8] considered the problem of steady, laminar, mixed convection boundary-layer flow over a vertical cone embedded in a porous medium with thermal radiation while Nadeem and Saleem [9] investigated unsteady nanofluid flow in a rotating cone subject to an applied magnetic field. In this study we investigate the flow of a nanofluid along a vertical stretching cone.…”

Section: Introductionmentioning

confidence: 99%

Impulsive nanofluid flow along a vertical stretching cone

Ahamed¹,

Mondal²,

Sibanda³

2017

IJHT

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We study the unsteady convective flow of two water-based nanofluids containing Copper and Titanium oxide along a vertical stretching or shrinking cone with viscous dissipation and internal heat generation. The problem is transformed to two-dimensional flow over a cone using Mangler's transformation. The coupled nonlinear conservation equations are solved numerically using the spectral local linearization method. We present an analysis of how some physical parameters affect the flow structure, the heat and mass transfer rates and the fluid properties. The accuracy of the results is determined by comparison with previously published studies, for some limiting cases.

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Radiation effects on mixed convection about a cone embedded in a porous medium filled with a nanofluid

Cited by 136 publications

References 31 publications

Nanofluid flow over three different geometries under viscous dissipation and thermal radiation using the local linearization method

Nanofluid flow over three different geometries under viscous dissipation and thermal radiation using the local linearization method

An application of paired quasilinearization on double‐diffusive convection flow over a cone embedded in a porous medium in the presence of nanoparticles

Impulsive nanofluid flow along a vertical stretching cone

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