Computer extended series solution for flow in a narrow channel of varying gap

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

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

The problem of steady two-dimensional laminar incompressible flow of a Newtonian fluid in a long narrow channel of varying gap is considered. The similarity transformation reduces the governing equations into nonlinear ordinary differential equation. The resulting equation is solved using long series with polynomial coefficients. Thirty-one effective terms in the perturbation series representing coefficients of pressure gradient for various cases of bearings are obtained. Analytic continuations of series solution unravel the rich spectrum of flow structure which could not be fully revealed in earlier asymptotic as well as pure numerical studies. The qualitative features obtained are comparable to pure numerical results besides this the present analysis enables to extend the study up to αRe = 50 to ∞. The variations of velocity profiles and pressure gradient for different boundary conditions as functions of αRe are analyzed.

Original languageEnglish
Pages (from-to)54-69
Number of pages16
JournalApplied Mathematics and Computation
Volume186
Issue number1
DOIs
Publication statusPublished - 01-03-2007

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Series Solution
Pressure Gradient
Pressure gradient
Bearings (structural)
Series
Similarity Transformation
Incompressible flow
Analytic Continuation
Newtonian Fluid
Nonlinear Ordinary Differential Equations
Laminar Flow
Coefficient
Flow structure
Velocity Profile
Incompressible Flow
Nonlinear equations
Ordinary differential equations
Numerical Study
Governing equation
Polynomials

All Science Journal Classification (ASJC) codes

  • Computational Mathematics
  • Applied Mathematics

Cite this

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Computer extended series solution for flow in a narrow channel of varying gap. / Bujurke, N. M.; Awati, V. B.; Katagi, N. N.

In: Applied Mathematics and Computation, Vol. 186, No. 1, 01.03.2007, p. 54-69.

Research output: Contribution to journalArticle

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