Analytic continuation of series solution representing flow between plates

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

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

The flow of an incompressible fluid between two rectangular and circular plates is reinvestigated. The problem admits similarity solutions there by reducing unsteady Navier-Stokes equations to non-linear ordinary differential equation of order four involving a small parameter α=h(t)h(t)/v. The proposed new semi-analytic semi-numerical scheme is convenient in obtaining analytic continuation of series solution. The series so generated yields expression for pressure gradient and it is analyzed using Pade' approximants and other useful techniques (Van Dyke10) of series analysis.

Original languageEnglish
Pages (from-to)587-598
Number of pages12
JournalIndian Journal of Pure and Applied Mathematics
Volume35
Issue number5
Publication statusPublished - 01-05-2004

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Analytic Continuation
Series Solution
Pressure gradient
Ordinary differential equations
Navier Stokes equations
Circular Plate
Fluids
Series
Rectangular Plate
Similarity Solution
Padé Approximants
Pressure Gradient
Nonlinear Ordinary Differential Equations
Incompressible Fluid
Small Parameter
Numerical Scheme
Navier-Stokes Equations

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

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Analytic continuation of series solution representing flow between plates. / Bujurke, N. M.; Pai, N. P.; Katagi, N. N.; Awati, V. B.

In: Indian Journal of Pure and Applied Mathematics, Vol. 35, No. 5, 01.05.2004, p. 587-598.

Research output: Contribution to journalArticle

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