Computer extended series solution to viscous flow between rotating discs

N. M. Bujurke, N. P. Pal, P. K. Achar

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

The problem of injection (suction) of a viscous incompressible fluid through a rotating porous disc onto a rotating co-axial disc is studied using computer extended series. The universal coefficients in the low Reynolds number perturbation expansion are generated by delegating the routine complex algebra to computer. Various cases leading to specific types of flows are studied. Analytic continuation of the series solution yields results which agree favourably with pure numerical findings up to moderately large Reynolds number. The precise variation of lift as a function of R is established in each case.

Original languageEnglish
Pages (from-to)353-369
Number of pages17
JournalProceedings of the Indian Academy of Sciences - Mathematical Sciences
Volume105
Issue number3
DOIs
Publication statusPublished - 01-08-1995

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Rotating Disk
Series Solution
Viscous Flow
Rotating
Perturbation Expansion
Low Reynolds number
Coaxial
Analytic Continuation
Suction
Viscous Fluid
Incompressible Fluid
Reynolds number
Injection
Algebra
Series
Coefficient

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

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Computer extended series solution to viscous flow between rotating discs. / Bujurke, N. M.; Pal, N. P.; Achar, P. K.

In: Proceedings of the Indian Academy of Sciences - Mathematical Sciences, Vol. 105, No. 3, 01.08.1995, p. 353-369.

Research output: Contribution to journalArticle

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