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Analytic Approximate Solutions to the Boundary Layer Flow Equation over a Stretching Wall with Partial Slip at the Boundary.

Ene RD, Marinca V, Marinca B - PLoS ONE (2016)

Bottom Line: The governing equations are reduced to nonlinear ordinary differential equation by means of similarity transformations.Some examples are considered and the effects of different parameters are shown.OHPM is a very efficient procedure, ensuring a very rapid convergence of the solutions after only two iterations.

View Article: PubMed Central - PubMed

Affiliation: Department of Mathematics, University Politehnica Timişoara, Timişoara, Romania.

ABSTRACT
Analytic approximate solutions using Optimal Homotopy Perturbation Method (OHPM) are given for steady boundary layer flow over a nonlinearly stretching wall in presence of partial slip at the boundary. The governing equations are reduced to nonlinear ordinary differential equation by means of similarity transformations. Some examples are considered and the effects of different parameters are shown. OHPM is a very efficient procedure, ensuring a very rapid convergence of the solutions after only two iterations.

No MeSH data available.


Related in: MedlinePlus

Variation of horizontal velocity  with η for different values of slip parameter λ and for S = 0.5: —— numerical solution ………. OHPM solution.
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pone.0149334.g001: Variation of horizontal velocity with η for different values of slip parameter λ and for S = 0.5: —— numerical solution ………. OHPM solution.

Mentions: In Figs 1, 2 and 3 are plotted the profiles of the horizontal velocity for S = 0.5, 1 and 2 respectively and for different values of the slip parameter λ. The horizontal velocity curves decrease with increasing of η and vanishes near by η = 5. With the increasing of slip parameter λ, the horizontal velocity decreases initially until η = 3 and then at a for distance from the wall it increases slightly.


Analytic Approximate Solutions to the Boundary Layer Flow Equation over a Stretching Wall with Partial Slip at the Boundary.

Ene RD, Marinca V, Marinca B - PLoS ONE (2016)

Variation of horizontal velocity  with η for different values of slip parameter λ and for S = 0.5: —— numerical solution ………. OHPM solution.
© Copyright Policy
Related In: Results  -  Collection

License
Show All Figures
getmorefigures.php?uid=PMC4816397&req=5

pone.0149334.g001: Variation of horizontal velocity with η for different values of slip parameter λ and for S = 0.5: —— numerical solution ………. OHPM solution.
Mentions: In Figs 1, 2 and 3 are plotted the profiles of the horizontal velocity for S = 0.5, 1 and 2 respectively and for different values of the slip parameter λ. The horizontal velocity curves decrease with increasing of η and vanishes near by η = 5. With the increasing of slip parameter λ, the horizontal velocity decreases initially until η = 3 and then at a for distance from the wall it increases slightly.

Bottom Line: The governing equations are reduced to nonlinear ordinary differential equation by means of similarity transformations.Some examples are considered and the effects of different parameters are shown.OHPM is a very efficient procedure, ensuring a very rapid convergence of the solutions after only two iterations.

View Article: PubMed Central - PubMed

Affiliation: Department of Mathematics, University Politehnica Timişoara, Timişoara, Romania.

ABSTRACT
Analytic approximate solutions using Optimal Homotopy Perturbation Method (OHPM) are given for steady boundary layer flow over a nonlinearly stretching wall in presence of partial slip at the boundary. The governing equations are reduced to nonlinear ordinary differential equation by means of similarity transformations. Some examples are considered and the effects of different parameters are shown. OHPM is a very efficient procedure, ensuring a very rapid convergence of the solutions after only two iterations.

No MeSH data available.


Related in: MedlinePlus