Similarity solutions for boundary layer flows with prescribed surface temperature

Je Chiang Tsai*

*此作品的通信作者

研究成果: 雜誌貢獻期刊論文同行評審

8 引文 斯高帕斯(Scopus)

摘要

We are concerned with the third-order nonlinear equation f + [(m + 1) / 2] f f - m f ′2 = 0 on (0, ∞), satisfying the boundary conditions f (0) = a ∈ R, f (0) = 1 and f (∞) = 0. The problem arises in the study of similarity solutions in two physically different contexts of fluid mechanics: free convection in a porous medium and flow adjacent to a stretching wall. We shall address two open questions: the first one is the uniqueness of bounded solutions for m ∈ (- 1 / 3, 0) and a < 0, and the second one is the structure of solutions for m ∈ (- 1 / 2, - 1 / 3) and a ≤ 0. Our results complement earlier results in the literature.

原文英語
頁(從 - 到)67-73
頁數7
期刊Applied Mathematics Letters
21
發行號1
DOIs
出版狀態已發佈 - 2008 1月
對外發佈

ASJC Scopus subject areas

  • 應用數學

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