On computation of the three-dimensional flow past a stretching sheet

A non-iterative numerical scheme is presented which computes the steady, three-dimensional flow of a viscous, incompressible fluid past a stretching sheet in a single integration. It also eliminates the possible error caused by taking the value of numerical infinity (representing the unbounded domai...

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Veröffentlicht in:Applied mathematics and computation Jg. 188; H. 2; S. 1244 - 1250
1. Verfasser: Ariel, P. Donald
Format: Journal Article
Sprache:Englisch
Veröffentlicht: New York, NY Elsevier Inc 15.05.2007
Elsevier
Schlagworte:
Ackroyd’s method
Exact sciences and technology
Mathematical analysis
Mathematics
Measure and integration
Non-iterative algorithm
Numerical analysis
Numerical analysis. Scientific computation
Samuel and Hall’s scheme
Sciences and techniques of general use
Series of exponentials
Stretching sheet
Samuel and Hall’s scheme
Non-iterative algorithm
Stretching sheet
Series of exponentials
Ackroyd’s method
Integration
Error estimation
Ackroyd's method
Viscous fluid
Samuel and Hall's scheme
Iterative method
Numerical method
Non-iteralive algorithm
Algorithm
Convergence
Numerical analysis
Three dimensional flow
Applied mathematics
Incompressible fluid
ISSN:0096-3003, 1873-5649
Online-Zugang:Volltext
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Beschreibung
Zusammenfassung:A non-iterative numerical scheme is presented which computes the steady, three-dimensional flow of a viscous, incompressible fluid past a stretching sheet in a single integration. It also eliminates the possible error caused by taking the value of numerical infinity (representing the unbounded domain of the flow) as a finite number. The solutions are developed in terms of a parameter K in the interval [0, 1], from which the appropriate flow parameters can be readily obtained. The scheme makes implicit use of infinite series of exponentials for velocity components along the sheet. The issue of convergence of these series is also discussed.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2006.10.083