An analytic solution of micropolar flow in a porous channel with mass injection using homotopy analysis method

2014 ◽  
Vol 24 (2) ◽  
pp. 419-437 ◽  
Author(s):  
Hany Hassan ◽  
Mohammad Mehdi Rashidi
Keyword(s):  
Homotopy Analysis Method ◽  
Analytic Solution ◽  
Porous Channel ◽  
Analysis Method ◽  
Mass Injection ◽  
Homotopy Analysis

scholarly journals A New Homotopy Analysis Method for Approximating the Analytic Solution of KdV Equation

2014 ◽  
Vol 7 (4) ◽  
pp. 826-831
Author(s):  
Vahid Barati ◽  
Mojtaba Nazari ◽  
Vincent Daniel David ◽  
Zainal Abdul Aziz
Keyword(s):  
Homotopy Analysis Method ◽  
Analytic Solution ◽  
Kdv Equation ◽  
Analysis Method ◽  
Homotopy Analysis

Analytic Solution of Three-Dimensional Viscous Flow and Heat Transfer Over a Stretching Flat Surface by Homotopy Analysis Method

2008 ◽  
Vol 130 (12) ◽  
Author(s):  
Ahmer Mehmood ◽  
Asif Ali
Keyword(s):  
Heat Transfer ◽  
Differential Equations ◽  
Homotopy Analysis Method ◽  
Analytic Solution ◽  
Porous Plate ◽  
Three Dimensional ◽  
Parallel Plates ◽  
Analysis Method ◽  
Electrically Conducting ◽  
Homotopy Analysis

In this paper heat transfer in an electrically conducting fluid bonded by two parallel plates is studied in the presence of viscous dissipation. The plates and the fluid rotate with constant angular velocity about a same axis of rotation where the lower plate is a stretching sheet and the upper plate is a porous plate subject to constant injection. The governing partial differential equations are transformed to a system of ordinary differential equations with the help of similarity transformation. Homotopy analysis method is used to get complete analytic solution for velocity and temperature profiles. The effects of different parameters are discussed through graphs.

MHD Flow of an Oldroyd-B Fluid Through a Porous Channel

2012 ◽  
Vol 10 (1) ◽  
Author(s):  
Tasawar Hayat ◽  
Sabir Ali Shehzad ◽  
Meraj Mustafa ◽  
Awatif Hendi
Keyword(s):  
Analytic Solution ◽  
Mhd Flow ◽  
Maxwell Fluid ◽  
Porous Channel ◽  
Analysis Method ◽  
Similarity Transformations ◽  
Flow Parameters ◽  
Number Comparison ◽  
Homotopy Analysis ◽  
Layer Flow

This paper discusses the hydromagnetic boundary layer flow of an Oldroyd-B fluid in a porous channel. Both suction and injection (blowing) cases are considered. Appropriate similarity transformations are invoked to convert the partial differential equations into ordinary ones. Homotopy analysis method (HAM) is used for the presentation of analytic solution of the nonlinear differential system. Graphical results provide the salient features of the embedded flow parameters which include the Reynolds number, the Deborah numbers, and the Hartman number. Comparison between the existing numerical solution in a Maxwell fluid and present deduced series solution in a limiting sense is excellent.

The flow of a micropolar fluid through a porous channel with expanding or contracting walls

Open Physics ◽  
2011 ◽  
Vol 9 (3) ◽  
Author(s):  
Xinhui Si ◽  
Liancun Zheng ◽  
Xinxin Zhang ◽  
Ying Chao
Keyword(s):  
Dynamic Characteristics ◽  
Homotopy Analysis Method ◽  
Micropolar Fluid ◽  
Expansion Ratio ◽  
Velocity Fields ◽  
Porous Channel ◽  
Analysis Method ◽  
Governing Equations ◽  
Homotopy Analysis ◽  
Expanding Or Contracting Walls

AbstractThe flow of a micropolar fluid in a porous channel with expanding or contracting walls is investigated. The governing equations are reduced to ordinary ones by using similar transformations. Homotopy analysis method (HAM) is employed to obtain the expressions for the velocity fields and microrotation fields. Graphs are sketched for the effects of some values of parameters, especially the expansion ratio, on the velocity and microrotation fields and associated dynamic characteristics are analyzed in detail.

scholarly journals Analytic Solution of Multipantograph Equation

2008 ◽  
Vol 2008 ◽  
pp. 1-10 ◽  
Author(s):  
Fadi Awawdeh ◽  
Ahmad Adawi ◽  
Safwan Al-Shara'
Keyword(s):  
Homotopy Analysis Method ◽  
Analytic Solution ◽  
Convergent Series ◽  
Analysis Method ◽  
Analytical Results ◽  
Homotopy Analysis

We apply the homotopy analysis method (HAM) for solving the multipantograph equation. The analytical results have been obtained in terms of convergent series with easily computable components. Several examples are given to illustrate the efficiency and implementation of the homotopy analysis method. Comparisons are made to confirm the reliability of the homotopy analysis method.

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