Computer extended series for squeezing flow between plates

N. M. Bujurke; P. K. Achar; N. P. Pai

doi:10.1016/0169-5983(94)00058-8

Computer extended series for squeezing flow between plates

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

Department of Mathematics, Manipal Institute of Technology, Manipal

Research output: Contribution to journal › Article › peer-review

15 Citations (Scopus)

Abstract

The flow of an incompressible fluid between two parallel plates due to the normal motion of the plate is investigated. The problem admits similarity solutions, thereby reducing unsteady Navier-Stokes equations to a nonlinear ordinary differential equation of order four involving the small parameter S. A proposed new semi-analytic semi-numerical scheme is convenient in obtaining computer extension of a series solution involving a small parameter, S. The series so generated yields expressions for skin friction and pressure gradient which are analyzed using Padé approximants and other useful techniques (Van Dyke, 1974) of series analyses.

Original language	English
Pages (from-to)	173-187
Number of pages	15
Journal	Fluid Dynamics Research
Volume	16
Issue number	2-3
DOIs	https://doi.org/10.1016/0169-5983(94)00058-8
Publication status	Published - 01-01-1995

All Science Journal Classification (ASJC) codes

Mechanical Engineering
Physics and Astronomy(all)
Fluid Flow and Transfer Processes

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10.1016/0169-5983(94)00058-8

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AU - Achar, P. K.

AU - Pai, N. P.

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N2 - The flow of an incompressible fluid between two parallel plates due to the normal motion of the plate is investigated. The problem admits similarity solutions, thereby reducing unsteady Navier-Stokes equations to a nonlinear ordinary differential equation of order four involving the small parameter S. A proposed new semi-analytic semi-numerical scheme is convenient in obtaining computer extension of a series solution involving a small parameter, S. The series so generated yields expressions for skin friction and pressure gradient which are analyzed using Padé approximants and other useful techniques (Van Dyke, 1974) of series analyses.

AB - The flow of an incompressible fluid between two parallel plates due to the normal motion of the plate is investigated. The problem admits similarity solutions, thereby reducing unsteady Navier-Stokes equations to a nonlinear ordinary differential equation of order four involving the small parameter S. A proposed new semi-analytic semi-numerical scheme is convenient in obtaining computer extension of a series solution involving a small parameter, S. The series so generated yields expressions for skin friction and pressure gradient which are analyzed using Padé approximants and other useful techniques (Van Dyke, 1974) of series analyses.

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JO - Fluid Dynamics Research

JF - Fluid Dynamics Research

IS - 2-3

ER -

Computer extended series for squeezing flow between plates

Abstract

All Science Journal Classification (ASJC) codes

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