Analytical solution of natural convection of Darcian fluid about a vertical full cone embedded in porous media prescribed wall temperature by means of HAM

Sohouli, Abdolrasoul; Domairry, Davood; Famouri, M.; Mohsenzadeh, Afshin

doi:10.1016/j.icheatmasstransfer.2008.08.008

Cited by 16 publications

(15 citation statements)

References 24 publications

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“…In this section, we will apply HAM an idea from Liao [28][29][30][31][32][33][34] to solve equations (12)- (15). We choose the set of base functions {…”

Section: Homotopy Analysis Methods (Ham)mentioning

confidence: 99%

Hydromagnetic Nanofluid Flow in the Presence of Radiation and Heat Generation/Absorption Past an Exponential Stretching Sheet with Slip Boundary Conditions Using HAM

Y¹

2015

J Aeronaut Aerospace Eng

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This paper considers the theoretical problem of hydrodynamic and slips boundary conditions over an exponential stretching sheet in the presence of radiation and heat generation/absorption. Similarity solutions are obtained from the governing boundary layer equations for different various of slip parameters, exponential parameter, magnetic field parameter, radiation parameter, heat source parameter, thermophoretic parameter and porosity parameter. The resulting couple system of equations which is highly nonlinear ordinary differential equations are solved semianalytically using homotopy analysis method (HAM). Numerical results are obtained for non-dimensional governing parameters on skin friction, heat and mass transfer coefficient in the presence of suction. Comparison with published results seen in literature is in perfect agreement.

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“…In this section, we will apply HAM an idea from Liao [28][29][30][31][32][33][34] to solve equations (12)- (15). We choose the set of base functions {…”

Section: Homotopy Analysis Methods (Ham)mentioning

confidence: 99%

Hydromagnetic Nanofluid Flow in the Presence of Radiation and Heat Generation/Absorption Past an Exponential Stretching Sheet with Slip Boundary Conditions Using HAM

Y¹

2015

J Aeronaut Aerospace Eng

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“…Many problems such as boundary layer similarity solution for forced, natural, and mix convection in porous medium, heat transfer, and fluid mechanic problems are nonlinear inherently. The analytical solutions of nonlinear ordinary differential equations can be solved by HAM [14][15][16]. HAM is based on homotopy, a concept in topology.…”

Section: Analytical Solution and Approximate Solution Of Sir Modelmentioning

confidence: 99%

Constitutive Relation of Engineering Material Based on SIR Model and HAM

Han

Cong

2014

Journal of Applied Mathematics

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As an epidemic mathematical model, the SIR model represents the transition of the Susceptible, Infected, and Recovered. The profound implication of the SIR model is viewed as the propagation and dynamic evolutionary process of the different internal components and the characteristics in a complex system subject to external effect. The uniaxial stress-strain curve of engineering material represents the basic constitutive relation, which also represents the damage propagation in the units of the damaged member. Hence, a novel dynamic stress-strain model is established based on the SIR model. The analytical solution and the approximate solution for the proposed model are represented according to the homotopy analysis method (HAM), and the relationship of the solution and the size effect and the strain rate is discussed. In addition, an experiment on the size effect of confined concrete is carried out and the solution of SIR model is suitable for simulation. The results show that the mechanical mechanism of the parameters of the uniaxial stress-strain model proposed in this paper reflects the actual characteristics of the materials. The solution of the SIR model can fully and accurately show the change of the mechanical performance and the influence of the size effect and the strain rate.

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“…They found that the Nusselt number decayed with the enhancement of heat generation, chemical reaction parameter, and the Schmidt number. Sohouli et al [16] analyzed the free convection analytically by using the Homotopy Analysis Method (HAM) in the Darcian fluid along a vertical cone.…”

Section: Introductionmentioning

confidence: 99%

Numerical Study of Natural Convection Flow of Nanofluid Past a Circular Cone with Cattaneo–Christov Heat and Mass Flux Models

et al. 2019

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The objective of this study is to analyze the natural convection flow of nanofluid along a circular cone placed in a vertical direction. The generalized heat flux and mass flux models are commonly known as the Cattaneo–Christov heat flux model and mass flux models. In the present study, these models are used for both heat and mass transfers analysis in nanofluid flow. For the governing equations, the Buongiorno transport model is used in which two important slip mechanism, namely thermophoresis and Brownian motion parameters, are discussed. The resulting governing equations in the form of partial differential equations (PDEs) are converted into ordinary differential equations (ODEs) due to similar flow along the surface of a circular cone. To solve these ODEs, a numerical algorithm based on implicit finite difference scheme is utilized. The effects of dimensionless parameters on heat and mass transfer in nanofluid flow are discussed graphically in the form of velocity profile, temperature profile, Sherwood number and Nusselt number. It is noted that in the presence of the Cattaneo–Christov heat flux model and mass flux model, the heat transfer rate decreases by increasing both thermal and concentration relaxation parameters; however, Sherwood number decreases by increasing the thermal relaxation parameter, and increases by increasing the concentration relaxation parameter.

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Analytical solution of natural convection of Darcian fluid about a vertical full cone embedded in porous media prescribed wall temperature by means of HAM

Cited by 16 publications

References 24 publications

Hydromagnetic Nanofluid Flow in the Presence of Radiation and Heat Generation/Absorption Past an Exponential Stretching Sheet with Slip Boundary Conditions Using HAM

Hydromagnetic Nanofluid Flow in the Presence of Radiation and Heat Generation/Absorption Past an Exponential Stretching Sheet with Slip Boundary Conditions Using HAM

Constitutive Relation of Engineering Material Based on SIR Model and HAM

Numerical Study of Natural Convection Flow of Nanofluid Past a Circular Cone with Cattaneo–Christov Heat and Mass Flux Models

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