### 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 Dyke^{10}) of series analysis.

Original language | English |
---|---|

Pages (from-to) | 587-598 |

Number of pages | 12 |

Journal | Indian Journal of Pure and Applied Mathematics |

Volume | 35 |

Issue number | 5 |

Publication status | Published - 01-05-2004 |

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### All Science Journal Classification (ASJC) codes

- Mathematics(all)

### Cite this

*Indian Journal of Pure and Applied Mathematics*,

*35*(5), 587-598.

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*Indian Journal of Pure and Applied Mathematics*, vol. 35, no. 5, pp. 587-598.

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

Research output: Contribution to journal › Article

TY - JOUR

T1 - Analytic continuation of series solution representing flow between plates

AU - Bujurke, N. M.

AU - Pai, N. P.

AU - Katagi, N. N.

AU - Awati, V. B.

PY - 2004/5/1

Y1 - 2004/5/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=3142748621&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=3142748621&partnerID=8YFLogxK

M3 - Article

VL - 35

SP - 587

EP - 598

JO - Indian Journal of Pure and Applied Mathematics

JF - Indian Journal of Pure and Applied Mathematics

SN - 0019-5588

IS - 5

ER -