Analytical investigation of Jeffery-Hamel flow with high magnetic field and nanoparticle by Adomian decomposition method

M Sheikholeslami, DD Ganji, HR Ashorynejad… - Applied Mathematics …, 2012‏ - Springer
In this study, the effects of magnetic field and nanoparticle on the Jeffery-Hamel flow are
studied using a powerful analytical method called the Adomian decomposition method …

Optimal homotopy asymptotic method with application to thin film flow

V Marinca, N Herişanu, I Nemeş - Open Physics, 2008‏ - degruyter.com
A new approximate analytical technique to address for non-linear problems, namely Optimal
Homotopy Asymptotic Method (OHAM) is proposed and has been applied to thin film flow of …

Analytic approximate solutions for heat transfer of a micropolar fluid through a porous medium with radiation

MM Rashidi, S Abbasbandy - Communications in Nonlinear Science and …, 2011‏ - Elsevier
This paper aims to present complete analytic solution to heat transfer of a micropolar fluid
through a porous medium with radiation. Homotopy analysis method (HAM) has been used …

An analytic solution of unsteady boundary-layer flows caused by an impulsively stretching plate

S Liao - Communications in Nonlinear Science and Numerical …, 2006‏ - Elsevier
In this paper, the unsteady boundary-layer flows caused by an impulsively stretching flat
plate is solved by means of an analytic approach. Unlike perturbation techniques, this …

Analytic approximate solutions for unsteady two‐dimensional and axisymmetric squeezing flows between parallel plates

MM Rashidi, H Shahmohamadi… - Mathematical problems …, 2008‏ - Wiley Online Library
The flow of a viscous incompressible fluid between two parallel plates due to the normal
motion of the plates is investigated. The unsteady Navier‐Stokes equations are reduced to a …

Analytic approximate solutions for steady flow over a rotating disk in porous medium with heat transfer by homotopy analysis method

MM Rashidi, SAM Pour, T Hayat, S Obaidat - Computers & Fluids, 2012‏ - Elsevier
In this paper, the homotopy analysis method (HAM) is applied to obtain the approximate
analytical solutions of the steady flow over a rotating disk in porous medium with heat …

Analytical study of heat and mass transfer in axisymmetric unsteady flow by ADM

A Hassanvand, M Saei Moghaddam… - … of Computational & …, 2021‏ - jcarme.sru.ac.ir
Finding the solutions for heat and mass transfer problems is significant to reveal the main
physics of engineering issues. In this work, the Adomian decomposition method is chosen …

Analytic approximate solutions for unsteady boundary-layer flow and heat transfer due to a stretching sheet by homotopy analysis method

MMM Rashidi, SAAM Pour - Nonlinear Analysis: Modelling and Control, 2010‏ - zurnalai.vu.lt
In this work, the homotopy analysis method is applied to study the unsteady boundary-layer
flow and heat transfer due to a stretching sheet. The analytic solutions of the system of …

An approximation of the analytical solution of the Jeffery–Hamel flow by decomposition method

Q Esmaili, A Ramiar, E Alizadeh, DD Ganji - Physics Letters A, 2008‏ - Elsevier
Many researchers have been interested in application of mathematical methods to find
analytical solutions of nonlinear equations and for this purpose, new methods have been …

On the relationship between the homotopy analysis method and Euler transform

S Liao - Communications in Nonlinear Science and Numerical …, 2010‏ - Elsevier
A new transform, namely the homotopy transform, is defined for the first time. Then, it is
proved that the famous Euler transform is only a special case of the so-called homotopy …