Similarity solutions of the boundary layer equations for a nonlinearly stretching sheet

F. Talay Akyildiz, Dennis A. Siginer, K. Vajravelu, J. R. Cannon, Robert A. Van Gorder

Research output: Contribution to journalArticle

22 Citations (Scopus)

Abstract

Consideration is given to a class of nonlinear third-order differential equations arising in fluid flow over a nonlinearly stretching sheet. Existence of a solution of the nonlinear third-order differential equation over 0<η<∞ is established in this paper, answering the open question of Vajravelu and Cannon (Appl. Math. Comput. 2006; 181:609-618). That is, we prove with estimates independent of R for solutions of the third-order differential equation on [0,R]. The existence of a solution on 0<η<∞ follows from the Ascoli-Arzela Theorem. Furthermore, numerical solutions are obtained and presented through graphs, and the influence of the physical parameter on the flow characteristics is discussed.

Original languageEnglish
Pages (from-to)601-606
Number of pages6
JournalMathematical Methods in the Applied Sciences
Volume33
Issue number5
DOIs
Publication statusPublished - Mar 30 2010

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Stretching Sheet
Third Order Differential Equation
Similarity Solution
Stretching
Boundary Layer
Boundary layers
Differential equations
Nonlinear Differential Equations
Arzela-Ascoli Theorem
Fluid Flow
Flow of fluids
Numerical Solution
Graph in graph theory
Estimate

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Engineering(all)

Cite this

Akyildiz, F. Talay ; Siginer, Dennis A. ; Vajravelu, K. ; Cannon, J. R. ; Van Gorder, Robert A. / Similarity solutions of the boundary layer equations for a nonlinearly stretching sheet. In: Mathematical Methods in the Applied Sciences. 2010 ; Vol. 33, No. 5. pp. 601-606.
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Similarity solutions of the boundary layer equations for a nonlinearly stretching sheet. / Akyildiz, F. Talay; Siginer, Dennis A.; Vajravelu, K.; Cannon, J. R.; Van Gorder, Robert A.

In: Mathematical Methods in the Applied Sciences, Vol. 33, No. 5, 30.03.2010, p. 601-606.

Research output: Contribution to journalArticle

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