Inner-outer matching solution of Blasius equation by DTM

Aytac Arikoglu*, Ibrahim Ozkol

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)

Abstract

Purpose - To study the flow of a two-dimensional, steady, incompressible and constant property fluid over a semi-infinite flat plate represented by the well-known Blasius equation. Design/methodology/approach - Differential transform method was used to solve this equation. The solution is based on matching of the inner and outer solutions. Findings - It is observed that the inner solution diverges at η ≅ 5:5 and the outer solution developed for η ≥ 5:5 should be matched with the inner one. Originality/value - It is the first time, for the best of the authors' knowledge, the missing boundary condition f″(0), related to surface friction, is obtained in a closed form. Also, the matching technique implemented in this study can be used for this type of physical length sensitive problems.

Original languageEnglish
Pages (from-to)298-301
Number of pages4
JournalAircraft Engineering and Aerospace Technology
Volume77
Issue number4
DOIs
Publication statusPublished - 2005

Keywords

  • Boundary layers
  • Flow
  • Flow measurement

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