Computer extended series for squeezing flow between plates

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

Research output: Contribution to journalArticle

8 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 languageEnglish
Pages (from-to)173-187
Number of pages15
JournalFluid Dynamics Research
Volume16
Issue number2-3
DOIs
Publication statusPublished - 01-01-1995

Fingerprint

Skin friction
Pressure gradient
compressing
Ordinary differential equations
Navier Stokes equations
Fluids
skin friction
incompressible fluids
parallel plates
pressure gradients
Navier-Stokes equation
differential equations
gradients

All Science Journal Classification (ASJC) codes

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

Cite this

Bujurke, N. M. ; Achar, P. K. ; Pai, N. P. / Computer extended series for squeezing flow between plates. In: Fluid Dynamics Research. 1995 ; Vol. 16, No. 2-3. pp. 173-187.
@article{78c735c290fd473c874c4a2559116a41,
title = "Computer extended series for squeezing flow between plates",
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 Pad{\'e} approximants and other useful techniques (Van Dyke, 1974) of series analyses.",
author = "Bujurke, {N. M.} and Achar, {P. K.} and Pai, {N. P.}",
year = "1995",
month = "1",
day = "1",
doi = "10.1016/0169-5983(94)00058-8",
language = "English",
volume = "16",
pages = "173--187",
journal = "Fluid Dynamics Research",
issn = "0169-5983",
publisher = "IOP Publishing Ltd.",
number = "2-3",

}

Computer extended series for squeezing flow between plates. / Bujurke, N. M.; Achar, P. K.; Pai, N. P.

In: Fluid Dynamics Research, Vol. 16, No. 2-3, 01.01.1995, p. 173-187.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Computer extended series for squeezing flow between plates

AU - Bujurke, N. M.

AU - Achar, P. K.

AU - Pai, N. P.

PY - 1995/1/1

Y1 - 1995/1/1

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.

UR - http://www.scopus.com/inward/record.url?scp=0029163664&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0029163664&partnerID=8YFLogxK

U2 - 10.1016/0169-5983(94)00058-8

DO - 10.1016/0169-5983(94)00058-8

M3 - Article

VL - 16

SP - 173

EP - 187

JO - Fluid Dynamics Research

JF - Fluid Dynamics Research

SN - 0169-5983

IS - 2-3

ER -