A comparison of Adomian and generalized Adomian methods in solving the nonlinear problem of flow in convergent-divergent channels

Sari, Mohamed Rafik; Kezzar, Mohamed; Adjabi, Rachid

doi:10.12988/ams.2014.39495

Cited by 4 publications

(4 citation statements)

References 39 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…There are multiple numerical techniques like bvp4c, Keller box, spectral relaxation method [33][34][35][36][37][38][39][40][41][42][43] in literature but GDM algorithm [21,28,[44][45][46][47][48] is another best and unique numerical technique used in this current study. we write Equations ( 10) and ( 11) are…”

Section: Gdm Solutionsmentioning

confidence: 99%

Insight into the dynamics of slip and radiative effect on magnetohydrodynamic flow of hybrid ferroparticles over a porous deformable sheet

Gherieb,

Kezzar,

Ayub

et al. 2024

Z Angew Math Mech

View full text Add to dashboard Cite

In the present work, we explored the magnetohydrodynamic boundary layer flow in the presence of pressure gradient across a flat plate. The effects of the slip velocity conditions, thermal Radiation the addition of hybrid Ferroparticles (i.e., a mixture of two types of magnetic nanoparticles for example, (magnetite (Fe3O4) and cobalt ferrite (CoFe2O4)) in base fluid (H2O ) and Porous wall (suction/ injection) are also considered in this study. Basic partial differential equations are transformed into nonlinear ordinary differential equations using the appropriate similarity transformations. Then, this equation was treated numerically by using the Runge–Kutta–Fehlberg 4th–5th order method with the shooting technique and analytically via an efficient method called the Generalized Decomposition Method. The effects of various physical parameters on the velocity and temperature profiles are shown graphically. It is found that the incorporation of hybrid nanoparticles demonstrates a relatively substantial impact on the behavior of dynamic and thermal field; outperforming both non‐hybrid nanoparticles and regular fluid in terms of speed and temperature enhancement. The slip and permeability parameters significantly alter the flow structure. The positive values of the slip and permeability parameters enhance the flow velocity and reduce the temperature, leading to the desired flow behavior. Conversely, adopting negative values of these parameters reverses the effect. Furthermore, the radiation parameter enhances the temperature distribution. Additionally, the boundary layer separation tends to disappear with the increase in the magnetic parameter. The results obtained clearly show the accuracy of the proposed method and also indicate an excellent agreement between analytical and numerical data.

show abstract

Section: Gdm Solutionsmentioning

confidence: 99%

Insight into the dynamics of slip and radiative effect on magnetohydrodynamic flow of hybrid ferroparticles over a porous deformable sheet

Gherieb,

Kezzar,

Ayub

et al. 2024

Z Angew Math Mech

View full text Add to dashboard Cite

show abstract

“…The integrals in Eqs. (10) and (11) are evaluated numerically (from − to for and from r s to R for r) and variations of and with h/R (including some algebraic expressions) are presented in the next section. A relationship between the correction factors for momentum and energy fluxes is established and compared with data reported in the literature.…”

Section: Solutionmentioning

confidence: 99%

“…Mazumdar and Dubey [10] obtained an approximate analytical solution to the same problem by assuming a function for isovelocity contours and then solving the momentum equation. Recent analytical solutions for Jeffery-Hamel flow are reported by Sari et al [11] and Kezzar and Sari [12] by application of the Adomian and generalized decomposition methods.…”

Section: Introductionmentioning

confidence: 99%

An approximate analytic solution of uniform laminar flow in a circular open channel

Kaya

Özcan

2021

J Braz. Soc. Mech. Sci. Eng.

View full text Add to dashboard Cite

An approximate analytic solution of the Navier-Stokes equations for laminar flow in a circular open channel is presented. The solution is valid for the case of incompressible steady uniform flow in a low-filled channel. (The depth ratio, which is flow depth divided by channel radius, is smaller than one.) The solution is compared with a recently reported exact theoretical solution and found to be in reasonably good agreement. Expressions for variation of the correction factors for momentum and kinetic energy fluxes with flow depth are presented. A correlation between the momentum and kinetic energy flux correction factors is proposed and compared with data reported in the literature.

show abstract

“…Seyyedi et al proposed an integral solution for the flow of laminar fluid over a semi‐infinite plate. Moreover, the effects of radiation and Joule dissipation on the flow of MHD hybrid nanofluid flow have been investigated by Chamkha et al Moreover, Sari et al have worked on the solution procedure of Adomian decomposition method (ADM) for various physical significance of fluid flow problems.…”

Section: Introductionmentioning

confidence: 99%

Cu‐water and Cu‐kerosene micropolar nanofluid flow over a permeable stretching sheet

Mohapatra

Mishra

Jena

2019

Heat Trans. Asian Res.

View full text Add to dashboard Cite

This manuscript is a mathematical expression for micropolar nanofluid flow phenomena past a stretching permeable sheet. Here, the micropolar nanofluid, which is water and kerosene based, contains Copper nanoparticles. The similarity approach has been adopted to obtain the ordinary differential equations from the respective basic equations. Using an analytical method, that is, the Adomian decomposition method (ADM), the nonlinear coupled ordinary equations are solved. From the computational aspect, it is ensured that results of shooting technique and ADM (present method) yield same results for special cases. Computations are obtained for velocity, microrotation, and temperature profiles for different pertinent parameters along with skin friction and Nusselt number. The major outcomes are: the Cu‐water nanofluid velocity dominates over the Cu‐kerosene nanofluid velocity and temperature and further, thermal radiation is favorable to enhance the fluid temperature.

show abstract

A comparison of Adomian and generalized Adomian methods in solving the nonlinear problem of flow in convergent-divergent channels

Cited by 4 publications

References 39 publications

Insight into the dynamics of slip and radiative effect on magnetohydrodynamic flow of hybrid ferroparticles over a porous deformable sheet

Insight into the dynamics of slip and radiative effect on magnetohydrodynamic flow of hybrid ferroparticles over a porous deformable sheet

An approximate analytic solution of uniform laminar flow in a circular open channel

Cu‐water and Cu‐kerosene micropolar nanofluid flow over a permeable stretching sheet

Contact Info

Product

Resources

About