scholarly journals On Nonperturbative Techniques for Thermal Radiation Effect on Natural Convection past a Vertical Plate Embedded in a Saturated Porous Medium

2008 ◽  
Vol 2008 ◽  
pp. 1-11 ◽  
Author(s):  
O. D. Makinde ◽  
R. J. Moitsheki
Keyword(s):  
Porous Medium ◽  
Natural Convection ◽  
Thermal Radiation ◽  
Radiation Effect ◽  
Saturated Porous Medium ◽  
Adomian Decomposition Method ◽  
Variational Iteration Method ◽  
Approximation Technique ◽  
Adomian Decomposition ◽  
Thermal Radiation Effect

In this article, the heat transfer characteristics of natural convection about a vertical permeable flat surface embedded in a saturated porous medium are studied by taking into account the thermal radiation effect. The plate is assumed to have a power-law temperature distribution. Similarity variables are employed in order to transform the governing partial differential equations into a nonlinear ordinary differential equation. Both Adomian decomposition method (ADM) and He's variational iteration method (VIM) coupled with Padé approximation technique are implemented to solve the reduced system. Comparisons with previously published works are performed, and excellent agreement between the results is obtained.

Adomian decomposition method to magnetohydrodynamics natural convection heat generating/absorbing slip flow through a porous medium

2019 ◽  
Vol 15 (3) ◽  
pp. 673-684 ◽  
Author(s):  
Abiodun O. Ajibade ◽  
Jeremiah Jerry Gambo
Keyword(s):  
Porous Medium ◽  
Natural Convection ◽  
Decomposition Method ◽  
Slip Flow ◽  
Adomian Decomposition Method ◽  
Convection Heat ◽  
Content Type ◽  
Adomian Decomposition ◽  
Flow Through ◽  
Effect Parameter

Purpose The purpose of this paper is to analyze magnetohydrodynamics fully developed natural convection heat-generating/absorbing slip flow through a porous medium. Adomian decomposition method was applied to find the solutions to the problem. Design/methodology/approach In this study, Adomian decomposition method was used. Findings Results show that heat generation parameter enhanced the temperature and velocity of the fluid in the annulus. Moreover, slip effect parameter increases the velocity of the fluid. Originality/value Originality is in the application of Adomian decomposition method which allowed the slip at interface.

scholarly journals Influence of Soret, Hall and Joule heating effects on mixed convection flow saturated porous medium in a vertical channel by Adomian Decomposition Method

2016 ◽  
Vol 6 (1) ◽  
Author(s):  
Ch. Ram Reddy ◽  
K. Kaladhar ◽  
D. Srinivasacharya ◽  
T. Pradeepa
Keyword(s):  
Porous Medium ◽  
Joule Heating ◽  
Decomposition Method ◽  
Saturated Porous Medium ◽  
Adomian Decomposition Method ◽  
Vertical Channel ◽  
Convective Transport ◽  
Convection Flow ◽  
Similarity Transformations ◽  
Adomian Decomposition

Abstract This paper analyzes the laminar, incompressible mixed convective transport inside vertical channel in an electrically conducting fluid saturated porous medium. In addition, this model incorporates the combined effects of Soret, Hall current and Joule heating. The nonlinear governing equations and their related boundary conditions are initially cast into a dimensionless form using suitable similarity transformations and hence solved using Adomian Decomposition Method (ADM). In order to explore the influence of various parameters on fluid flow properties, quantitative analysis is exhibited graphically and shown in tabular form.

Simultaneous Impacts of Fe3O4{\text{Fe}_{3}}{\text{O}_{4}} Particles and Thermal Radiation on Natural Convection of Non-Newtonian Flow Between Two Vertical Flat Plates Using ADM

2020 ◽  
Vol 45 (2) ◽  
pp. 173-189
Author(s):  
Ameur Gabli ◽  
Mohamed Kezzar ◽  
Lilia Zighed ◽  
Mohamed Rafik Sari ◽  
Ismail Tabet
Keyword(s):  
Natural Convection ◽  
Thermal Radiation ◽  
Research Work ◽  
Adomian Decomposition Method ◽  
Skin Friction Coefficient ◽  
Physical Parameters ◽  
Flat Plates ◽  
Newtonian Flow ◽  
Nanofluid Flow ◽  
Adomian Decomposition

AbstractThe main aim of this research work is to show the simultaneous effects of ferro-particles ({\text{Fe}_{3}}{\text{O}_{4}}) and thermal radiation on the natural convection of non-Newtonian nanofluid flow between two vertical flat plates. The studied nanofluid is created by dispersing ferro-particles ({\text{Fe}_{3}}{\text{O}_{4}}) in sodium alginate (SA), which is considered as a non-Newtonian base fluid. Resolution of the resulting set of coupled non-linear second order differential equations characterizing dynamic and thermal distributions (velocity/temperature) is ensured via the Adomian decomposition method (ADM). Thereafter the obtained ADM results are compared to the Runge–Kutta–Feldberg based shooting data. In this investigation, a parametric study was conducted showing the influence of varying physical parameters, such as volumic fraction of {\text{Fe}_{3}}{\text{O}_{4}} nanoparticles, Eckert number ({E_{c}}) and thermal radiation parameter (N), on the velocity distribution, the skin friction coefficient, the heat transfer rate and the temperature distribution. Results obtained also show the advantages of ferro-particles over other types of standard nanoparticles. On the other hand, this investigation demonstrates the accuracy of the adopted analytical ADM technique.

Sign in / Sign up

Export Citation Format

Share Document