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Analytic approximate solutions for steady flow over a rotating disk in porous medium with heat transfer by homotopy analysis method
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In this article, the homotopy analysis method was applied to obtain the approximate analytical solutions of the steady flow over a rotating disk in porous medium with heat transfer, and the convergence of the obtained series solutions was carefully analyzed.About:
This article is published in Computers & Fluids.The article was published on 2012-01-30. It has received 145 citations till now. The article focuses on the topics: Homotopy analysis method & Shooting method.read more
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Investigation of entropy generation in MHD and slip flow over a rotating porous disk with variable properties
TL;DR: In this paper, the effects of magnetic interaction number, slip factor and relative temperature difference on velocity and temperature profiles as well as entropy generation in magnetohydrodynamic (MHD) flow of a fluid with variable properties over a rotating disk are investigated using numerical methods.
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Homotopy simulation of nanofluid dynamics from a non-linearly stretching isothermal permeable sheet with transpiration
TL;DR: In this article, the authors derived semi-analytical/numerical solutions for transport phenomena (momentum, heat and mass transfer) in a nanofluid regime adjacent to a nonlinearly porous stretching sheet by means of the Homotopy analysis method (HAM).
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Parametric analysis and optimization of entropy generation in unsteady MHD flow over a stretching rotating disk using artificial neural network and particle swarm optimization algorithm
TL;DR: In this article, the first and second law analyzes of an electrically conducting fluid past a rotating disk in the presence of a uniform vertical magnetic field, analytically via Homotopy Analysis Method (HAM), and then applies Artificial Neural Network (ANN) and Particle Swarm Optimization (PSO) algorithm in order to minimize the entropy generation.
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Entropy analysis of convective MHD flow of third grade non-Newtonian fluid over a stretching sheet
Mohammad Mehdi Rashidi,Mohammad Mehdi Rashidi,Saeed Bagheri,Ebrahim Momoniat,Navid Freidoonimehr +4 more
TL;DR: In this article, the authors analyzed the convective flow of a third grade non-Newtonian fluid due to a linearly stretching sheet subject to a magnetic field and showed that the thermal boundary-layer thickness gets decreased with increasing the Prandtl number.
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MHD stagnation point flow heat and mass transfer of nanofluids in porous medium with radiation, viscous dissipation and chemical reaction
TL;DR: In this article, an investigation was carried out on MHD stagnation point flow of water based nanofluids (Cu and Al 2 O 3 ) in which the heat and mass transfer includes the effects of volume fraction of nanoparticles, radiation, viscous dissipation and chemical reaction.
References
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Book
Introduction to perturbation techniques
TL;DR: In this paper, the authors introduce the notion of forced Oscillations of the Duffing Equation and the Mathieu Equation for weakly nonlinear systems with quadratic and cubic nonlinearities.
Book
Beyond Perturbation: Introduction to the Homotopy Analysis Method
Shijun Liao,SA Sherif +1 more
TL;DR: In this paper, a simple bifurcation of a nonlinear problem multiple solutions of a Nonlinear Problem Nonlinear Eigenvalue Problem Thomas-Fermi Atom Model Volterra's Population Model Free Oscillation Systems with Odd Nonlinearity Free oscillations with Quadratic nonlinearity Limit Cycle in a Multidimensional System Blasius' viscous flow Boundary-layer Flow Boundarylayer Flow with Exponential Property Boundary Layer Flow with Algebraic Property Von Karman Swirling Flow Nonlinear Progressive Waves in Deep Water BIBLIOGR
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Über laminare und turbulente Reibung
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On the homotopy analysis method for nonlinear problems
TL;DR: A powerful, easy-to-use analytic tool for nonlinear problems in general, namely the homotopy analysis method, is further improved and systematically described through a typical nonlinear problem, i.e. the algebraically decaying viscous boundary layer flow due to a moving sheet.