Analytic Solution for Fluid Flow over an Exponentially Stretching Porous Sheet with Surface Heat Flux in Porous Medium by Means of Homotopy Analysis Method

Ali, Amjad; Zaman, Haider; Abidin, Muhammad Zainul; Shah, Syed Imad Ali

doi:10.4236/ajcm.2015.52019

Cited by 9 publications

(6 citation statements)

References 25 publications

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“…In 1992, Liao [ 45 , 46 , 47 , 48 ] first reported HAM as a semi-exact methodology for solving non-linear equations. Some of the most characteristic examples of HAM are found in viscous flows of non-Newtonian fluids [ 49 ], KdV-type equations [ 50 ], finance [ 51 ], and non-linear optimal control problems [ 52 ], among others.…”

Section: Analytical Expressions Of Velocity Components Using the Homo...mentioning

confidence: 99%

Analysis of Von Kármán Swirling Flows Due to a Porous Rotating Disk Electrode

Visuvasam¹,

Alotaibi

2023

Micromachines

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The study of Von Kármán swirling flow is a subject of active interest due to its applications in a wide range of fields, including biofuel manufacturing, rotating heat exchangers, rotating disc reactors, liquid metal pumping engines, food processing, electric power generating systems, designs of multi-pore distributors, and many others. This paper focusses on investigating Von Kármán swirling flows of viscous incompressible fluid due to a rotating disk electrode. The model is based on a system of four coupled second-order non-linear differential equations. The purpose of the present communication is to derive analytical expressions of velocity components by solving the non-linear equations using the homotopy analysis method. Combined effects of the slip λ and porosity γ parameters are studied in detail. If either parameter is increased, all velocity components are reduced, as both have the same effect on the mean velocity profiles. The porosity parameter γ increases the moment coefficient at the disk surface, which monotonically decreases with the slip parameter λ. The analytical results are also compared with numerical solutions, which are in satisfactory agreement. Furthermore, the effects of porosity and slip parameters on velocity profiles are discussed.

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Section: Analytical Expressions Of Velocity Components Using the Homo...mentioning

confidence: 99%

Analysis of Von Kármán Swirling Flows Due to a Porous Rotating Disk Electrode

Visuvasam¹,

Alotaibi

2023

Micromachines

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“…Azhar Ali et al [5] used the homotopy study approach to investigate analytically fluid flow solution over an exponentially extended porous sheet. Molla et al [6] investigated the vertical wavy surface natural convection flow with a uniform surface temperature and heat generation/absorption.…”

Section: Introductionmentioning

confidence: 99%

Chemical Reaction and Mhd Flow for Magnetic Field Effect on Heat and Mass Transfer of Fluid Flow Through a Porous Medium Onto a Moving Vertical Plate

Goud

Nandeppanavar²

2022

International Journal of Applied Mechanics and Engineering

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This article discusses the effect of heat and mass transfer in a boundary layer flow in the presence of a magnetic field of an electrically conducting and viscous fluid as it passes through a porous medium containing a heat source and a chemical reaction. By employing similarity variables, the governing equations are changed into nonlinear ordinary differential equations(ODEs). To solve the obtained equations numerically the Keller box method is used. Numerical and graphical representations of the results of different parameter values governing the flow system are given. The non-dimensional distributions of velocity, heat, and concentration are depicted graphically, while the Nusselt number, Sherwood number, and skin friction are determined numerically.

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“…Tripathy et al [25] analyzed the impact of chemical reaction on magnetohydrodynamic free connective sheet over an upright moving plate through permeable material. Ali et al [26] presented the analytical solution for flowing fluid through exponential stretching of permeable surface including heat flux in permeable medium utilizing homotopy analysis method (HAM). Goud [27] introduced the magnetohydrodynamic flow through an upright appendicular plate including radiation and chemical reaction effects through a permeable medium.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Mixed Convective Bidirectional Dynamics of Double Stratified Radiative Oldroyd-B Nanofluid Flow with Heat Source/Sink and Higher-Order Chemical Reaction

Ahmad

Faisal

Loganathan

et al. 2022

Mathematical Problems in Engineering

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Little is known in the literature about the concept of nonuniform heat source/sink and higher-order chemical reaction for the dynamics of Oldroyd-B nanoparticles. Therefore, the present article addresses the nonuniform heat source/sink and higher-order chemical reaction features in nonlinear mixed convection bidirectional MHD dynamics of Oldroyd-B nanoparticles with thermal radiation aspects through porous space. Stratification effects for both the temperature and concentration setups are also used in the mathematical model with the significance of random movement and thermodiffusion of nanoparticles. Shape-preserving transformations have been employed to convert the transport equations into solvable forms. An innovative analytical tactic, namely, homotopy analysis method, has been adopted to find the solution of the modeled problem. Behaviors of pertinent parameters on thermal and concentration profiles have been discussed through various graphs. Inspection of heat/mass transport against appropriate varieties of pertinent parameters has been made and explained physically. Thermal profile is augmented with the higher estimations of space and temperature-dependent heat source/sink links. Concentration profile is diminished with the augmentation of higher-order chemical reaction parameter. Sherwood number is improved with the estimation of 0 ≤ β t ≤ 100 and is reduced with the growth of 0 ≤ β c ≤ 100 . Nusselt number is declined with the upgraded amounts of 0 ≤ N b ≤ 3 and 0 ≤ N t ≤ 5 .

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Analytic Solution for Fluid Flow over an Exponentially Stretching Porous Sheet with Surface Heat Flux in Porous Medium by Means of Homotopy Analysis Method

Cited by 9 publications

References 25 publications

Analysis of Von Kármán Swirling Flows Due to a Porous Rotating Disk Electrode

Analysis of Von Kármán Swirling Flows Due to a Porous Rotating Disk Electrode

Chemical Reaction and Mhd Flow for Magnetic Field Effect on Heat and Mass Transfer of Fluid Flow Through a Porous Medium Onto a Moving Vertical Plate

Nonlinear Mixed Convective Bidirectional Dynamics of Double Stratified Radiative Oldroyd-B Nanofluid Flow with Heat Source/Sink and Higher-Order Chemical Reaction

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