𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Homotopy analysis method applied to electrohydrodynamic flow

✍ Scribed by Antonio Mastroberardino

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
537 KB
Volume
16
Category
Article
ISSN
1007-5704

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper, we consider the nonlinear boundary value problem (BVP) for the electrohydrodynamic flow of a fluid in an ion drag configuration in a circular cylindrical conduit. We present analytical solutions based on the homotopy analysis method (HAM) for various values of the relevant parameters and discuss the convergence of these solutions. We also compare our results with numerical solutions. The results provide another example of a highly nonlinear problem in which HAM is the only known analytical method that yields convergent solutions for all values of the relevant parameters.

πŸ“œ SIMILAR VOLUMES

Heat transfer analysis of unsteady bound
Heat transfer analysis of unsteady boundary layer flow by homotopy analysis method
✍ Ahmer Mehmood; Asif Ali; Tariq Shah πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 282 KB

This paper aims to present complete analytic solution to the unsteady heat transfer flow of an incompressible viscous fluid over a permeable plane wall. The flow is started due to an impulsively stretching porous plate. Homotopy analysis method (HAM) has been used to get accurate and complete analyt

Solution of the MHD Falkner-Skan flow by
Solution of the MHD Falkner-Skan flow by homotopy analysis method
✍ S. Abbasbandy; T. Hayat πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 252 KB

s transformation a b s t r a c t In this work, an analysis is performed to find the series solution of the boundary layer Falkner-Skan equation for wedge. The boundary layer similarity equation takes into account a special form of the chosen magnetic field. The results are obtained by solving the n

Application of the Optimal Homotopy Asym
Application of the Optimal Homotopy Asymptotic Method to squeezing flow
✍ M. Idrees; S. Islam; Sirajul Haq; Sirajul Islam πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 351 KB

In this paper, axisymmetric flow of two-dimensional incompressible fluids is studied. The Optimal Homotopy Asymptotic Method (OHAM) is applied to derive a solution of the reduced fourth-order nonlinear boundary value problem. For comparison, the same problem is also solved by the Perturbation Method

The application of homotopy analysis met
The application of homotopy analysis method to solve nonlinear differential equation governing Jeffery–Hamel flow
✍ DR.G. Domairry; A. Mohsenzadeh; M. Famouri πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 206 KB

In this paper Jeffery-Hamel flow has been studied and its nonlinear ordinary differential equation has been solved through homotopy analysis method (HAM). The obtained solution in comparison with the numerical ones represents a remarkable accuracy. The results also indicate that HAM can provide us w