Steady nanofluid flow between parallel plates considering thermophoresis and Brownian effects

Sheikholeslami, M.; Rashidi, Majid; Saad, Dhafer M. Al; Firouzi, F.; Rokni, Houman B.; Domairry, G.

doi:10.1016/j.jksus.2015.06.003

Cited by 91 publications

(42 citation statements)

References 57 publications

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“…Investigations of MHD flows are mostly in vertical moving porous plate (Mohamed and Abo-Dahab, 2009), vertical porous plate (Islam et al 2015;Khan et al 2014;Murthy et al 2015;Ramachandra et al 2011), vertical insulated porous plate (Baoku et al 2013), infinite inclined porous plate (Das et al 2015), semi-infinite vertical porous plate (Ravikumar et al 2014) etc. In recent days, nanotechnology has received a lot of attention (Bég et al 2014;Dogonchi and Ganji, 2016;Ferdows et al 2013;Ibáñez et al 2016;Kandasamy et al 2016;Mosayebidorcheh et al 2016;Pandey et al 2016;Shahmohamadi and Rashidi, 2016;Sheikholeslami et al, 2016;Biswas et al, 2017;Arifuzzaman et al 2017;Biswas et al, 2018) where the further development of higher performance is still going due to effective applications in the field of cooling (transformer cooling, electronics device cooling, silicon mirror cooling, vehicles cooling, controlling fusion), biomedical (magnetic cell separation, drug delivery, cancer therapeutics, cryopreservation, nanocryosurgery) etc. The term "nanofluid" can be refers to a class of fluids by suspending nanometre sized (1-100 nm diameters) particles in common base fluids of highly enhanced thermal properties.…”

Section: Introductionmentioning

confidence: 99%

MHD Maxwell Fluid Flow in Presence of Nano-Particle Through a Vertical Porous-Plate With Heat-Generation, Radiation Absorption and Chemical Reaction

Arifuzzaman

Khan²,

Islam

et al. 2017

Frontiers in Heat and Mass Transfer

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Present study concerns with the numerical investigation of MHD transient naturally convective and higher order chemically reactive Maxwell fluid with Nano-particle flow through a vertical porous plate with the effects of heat generation and radiation absorption. A boundary layer approximation is carried out to develop a flow model representing time dependent momentum, energy, and concentration equations. The governing model equations in partial differential equations (PDEs) form are transformed into a set of nonlinear ordinary differential equation (ODEs) by using non-similar technique. Explicit Finite Difference Method (EFDM) is employed by implementing an algorithm in Compaq Visual Fortran 6.6a to solve the obtained set of nonlinear coupled ODEs. For optimizing the system parameter and accuracy of the system, the stability and convergence analysis (SCA) are carried out. It is observed that with initial boundary conditions, U =V =T = C= 0 and for Δτ = 0.005, ΔX = 0.20 and ΔY = 0.25, the system converged at Prandtl number, Pr ≥ 0.209 and Lewis number, Le ≥ 0.16. The velocity, temperature and concentration flow are investigated and shown graphically with the effect of system parameters. Furthermore, the effect of system parameters on skin friction coefficient, Cf, Nusselt number, Nu, and Sherwood number, Sh, are also examined and tabularized.

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Section: Introductionmentioning

confidence: 99%

MHD Maxwell Fluid Flow in Presence of Nano-Particle Through a Vertical Porous-Plate With Heat-Generation, Radiation Absorption and Chemical Reaction

Arifuzzaman

Khan²,

Islam

et al. 2017

Frontiers in Heat and Mass Transfer

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“…The main reason of widespread usage of analytical and semi-analytical methods is that by utilizing these approaches, researches would obtain a unique function in their solving procedures which could be used in other fields such as designing a control system for heat transfer or fluid mechanics appliances. Therefore, for the purpose of achieving the afore-mentioned fact, many researchers have tried to reach acceptable solution for differential equations due to their nonlinearity by utilizing analytical and semi-analytical methods such as: Perturbation Method [9], Homotopy Perturbation Method [10][11][12], Variational Iteration Method [13,14], Optimal Variational Iteration Method using Adomian's Polynomials (OVIMAP) [15], Homotopy Analysis Method [14,16,17], Parameterized Perturbation Method (PPM) [18], Collocation Method (CM) [19], Adomian Decomposition Method [20,21], Variation of Parameters Method (VPM) [22] and so on.…”

Section: Introductionmentioning

confidence: 99%

Semi-analytical Investigation of Momentum and Heat Transfer of a Non-Newtonian Fluid Flow for Specific Turbine Cooling Application Using AGM

Mirgolbabaee

Ledari

Sheikholeslami

et al. 2017

Int. J. Appl. Comput. Math

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In this paper, a non-Newtonian fluid flow in an axisymmetric channel with porous wall for specific turbine cooling application has been considered. The purpose of this article is based on solving the nonlinear differential equations of momentum and heat transfer of the mentioned problem by utilizing a new and innovative method in semi-analytical field which is called Akbari-Ganji's method. Meanwhile, relationships between power law index, Reynolds, Prandtl and Nusselt numbers have been investigated. Results have been compared with numerical method (Runge-Kutte 4th) to achieve conclusions based on not only accuracy of the solution but also simplicity of their procedures which would have remarkable effects on the time devoted for solving process. Moreover, results are presented for various values of constant parameters and different steps of trial function due to the aim of comparison and prove that proposed solution is very accurate, simple and also have efficient convergence.

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“…Recently, many new numerical techniques have been widely applied to the nonlinear problems. Some of these methods are Perturbation Method (PM) [1], Homotopy Perturbation Method (HPM) [2,3,4,5,6], Variational Iteration Method (VIM) [7,8,9], Homotopy Analysis Method (HAM) [10,11], Differential Transform Method (DTM) [12] and Adomian Decomposition Method (ADM) [13,14].…”

Section: Introductionmentioning

confidence: 99%

Analyzing the nonlinear heat transfer equation by AGM

Ledari¹,

Ganji²,

Mirgolbabaee³

2017

ntmsci

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Abstract:In this paper, a novel nonlinear differential equation in the field of heat transfer has been investigated and solved completely by a new method that we called it Akbari-Ganjis Method (AGM). Regarding to the previously published papers, investigating this kind of equations is a very hard project to do and the obtained solution is not accurate and reliable. This issue will be appeared after comparing the obtained solution by Numerical Method or the Exact Solution. Based on the comparison which has been made between the achieved solutions by AGM and Numerical Method (Runge-Kutte 4th), it is possible to indicate that AGM can be successfully applied to various differential equations particularly for difficult ones. Furthermore, It is necessary to mention that a summary of the excellence of this method in comparison with other approaches can be considered as follows: Boundary conditions are required in accordance with order of the differential equation, this approach can create additional new boundary conditions in regard to the own differential equation and its derivatives. Therefore, it is logical to mention which AGM is operational for miscellaneous nonlinear differential equations in comparison with the other methods.

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Steady nanofluid flow between parallel plates considering thermophoresis and Brownian effects

Cited by 91 publications

References 57 publications

MHD Maxwell Fluid Flow in Presence of Nano-Particle Through a Vertical Porous-Plate With Heat-Generation, Radiation Absorption and Chemical Reaction

MHD Maxwell Fluid Flow in Presence of Nano-Particle Through a Vertical Porous-Plate With Heat-Generation, Radiation Absorption and Chemical Reaction

Semi-analytical Investigation of Momentum and Heat Transfer of a Non-Newtonian Fluid Flow for Specific Turbine Cooling Application Using AGM

Analyzing the nonlinear heat transfer equation by AGM

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