Numerical solution for mixed convection boundary layer flow of a nanofluid along an inclined plate embedded in a porous medium

Rana, Puneet; Bhargava, Rama; Bég, O. Anwar

doi:10.1016/j.camwa.2012.04.014

Cited by 109 publications

(49 citation statements)

References 31 publications

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“…The finite element method not only overcomes the shortcoming of the traditional variational methods, it is also endowed with the features of an effective computational technique. This method is so general that it can be applied to a wide variety of engineering problems, including heat transfer Rana et al 2012), fluid mechanics Rana et al 2013), rigid body dynamics (Dettmer 2006), solid mechanics (Hansbo and Hansbo 2004) and many other fields.…”

Section: Finite Element Solutionmentioning

confidence: 99%

Mixed convection flow along an inclined permeable plate: effect of magnetic field, nanolayer conductivity and nanoparticle diameter

Rana

Bég²

2014

Appl Nanosci

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Steady, two-dimensional mixed convection boundary layer flow of an incompressible Al 2 O 3 -water nanofluid along an inclined permeable plate in the presence of transverse magnetic field has been examined numerically. The governing equations (Boussinesq approximation) with associated boundary condition are solved using FEM for nanofluid containing spherical-shaped nanoparticles having volume fraction ranging from 1 to 4 %. Staticbased model for calculating the effective thermal conductivity at 300 K, proposed by Leong et al. (J Nanopart Res 8:245-254, 2006) and Murshed et al. (Int J Therm Sci 47:560-568, 2008) has been implemented. Effect of various pertinent parameters with different classical and experimental models for effective dynamic viscosity is discussed.

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Section: Finite Element Solutionmentioning

confidence: 99%

Mixed convection flow along an inclined permeable plate: effect of magnetic field, nanolayer conductivity and nanoparticle diameter

Rana

Bég²

2014

Appl Nanosci

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“…Recently, many researchers [9][10][11][12][13][14][15] have effectively applied Buongiorno's model [8]. Nield and Kuznetsov [9] presented the influence of Brownian motion and thermophoresis on natural convection boundary layer flow past a vertical plate suspended in a porous medium.…”

Section: Introductionmentioning

confidence: 99%

The Influence of Slip Boundary Condition on Casson Nanofluid Flow over a Stretching Sheet in the Presence of Viscous Dissipation and Chemical Reaction

Afify

2017

Mathematical Problems in Engineering

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The impacts of multiple slips with viscous dissipation on the boundary layer flow and heat transfer of a non-Newtonian nanofluid over a stretching surface have been investigated numerically. The Casson fluid model is applied to characterize the non-Newtonian fluid behavior. Physical mechanisms responsible for Brownian motion and thermophoresis with chemical reaction are accounted for in the model. The governing nonlinear boundary layer equations through appropriate transformations are reduced into a set of nonlinear ordinary differential equations, which are solved numerically using a shooting method with fourth-order Runge-Kutta integration scheme. Comparisons of the numerical method with the existing results in the literature are made and an excellent agreement is obtained. The heat transfer rate is enhanced with generative chemical reaction and concentration slip parameter, whereas the reverse trend is observed with destructive chemical reaction and thermal slip parameter. It is also noticed that the mass transfer rate is boosted with destructive chemical reaction and thermal slip parameter. Further, the opposite influence is found with generative chemical reaction and concentration slip parameter.

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“…First and in order to test the accuracy of our results, those obtained are compared with the results of Puneet Rana et al [33] for local Nusselt number Nu x ⁄Pe x 1⁄2 = -θ' (0) and reduced Sherwood number Sh x ⁄Pe x 1⁄2 = -∅ ' (0). Neglecting the effects of M, Nc, Lem, n and γ in the present developed equations, we (28) notice that the comparison shows an excellent agreement, as presented in Table 1.…”

Section: Resultsmentioning

confidence: 99%

Effect of MHD on Nanofluid flow, Heat and Mass Transfer over a Stretching Surface Embedded in a Porous Medium

Mami

Bouaziz

2018

Period. Polytech. Mech. Eng.

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Numerical solution for mixed convection boundary layer flow of a nanofluid along an inclined plate embedded in a porous medium

Cited by 109 publications

References 31 publications

Mixed convection flow along an inclined permeable plate: effect of magnetic field, nanolayer conductivity and nanoparticle diameter

Mixed convection flow along an inclined permeable plate: effect of magnetic field, nanolayer conductivity and nanoparticle diameter

The Influence of Slip Boundary Condition on Casson Nanofluid Flow over a Stretching Sheet in the Presence of Viscous Dissipation and Chemical Reaction

Effect of MHD on Nanofluid flow, Heat and Mass Transfer over a Stretching Surface Embedded in a Porous Medium

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