Analysis of steady viscous flow in slender tubes

N. M. Bujurke, N. N. Katagi, V. B. Awati

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

The computer extended perturbation series method is used to analyze the problem of steady viscous flow in slender tubes. The objective is to obtain an expansion in a power series of λ (= ε R, ε is a small parameter and R = M/Lμ is a streamwise Reynolds number) and look for its analytic continuation. Such an expansion was usually terminated at the second or third order term and consequently they have a very limited utility. Sufficiently large number of terms in the series, representing physical quantities are, generated for the detail analysis which enables to get converging Pade' sums for large λ. Domb-Sykes plot enables in finding singularity restricting the convergence of the series. Useful results valid up to λ = 15 are obtained for different derived quantities whereas in earlier findings, analysis could be done only up to λ = 10 resulting into a substantial improvement in the present study.

Original languageEnglish
Pages (from-to)836-851
Number of pages16
JournalZeitschrift fur Angewandte Mathematik und Physik
Volume56
Issue number5
DOIs
Publication statusPublished - 01-09-2005

Fingerprint

viscous flow
Viscous flow
Viscous Flow
Steady Flow
Tube
tubes
expansion
Series
power series
Reynolds number
plots
Levenberg-Marquardt
Analytic Continuation
Term
Power series
Small Parameter
perturbation
Singularity
Valid
Perturbation

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

Cite this

Bujurke, N. M. ; Katagi, N. N. ; Awati, V. B. / Analysis of steady viscous flow in slender tubes. In: Zeitschrift fur Angewandte Mathematik und Physik. 2005 ; Vol. 56, No. 5. pp. 836-851.
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Analysis of steady viscous flow in slender tubes. / Bujurke, N. M.; Katagi, N. N.; Awati, V. B.

In: Zeitschrift fur Angewandte Mathematik und Physik, Vol. 56, No. 5, 01.09.2005, p. 836-851.

Research output: Contribution to journalArticle

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