### Abstract

The viscous incompressible fluid is considered between two disks which are spaced a distance H√ (1-αt) and rotating with angular velocities. The governing Navier-Stokes equations reduced to a pair of nonlinear differential equations. We obtain the solution to these equations by computer extended perturbation series solution with special reference to normal forces and torques. The coefficient of the parameter (-g'(0)) decreasing in magnitude and alternating sign. By Domb-sykes plot, the singularity is identified. The series is recasted using Euler transformation. But the coefficients of f'''(0) decreasing in magnitude having fixed sign pattern is recasted using reversion.

Original language | English |
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Pages (from-to) | 161-172 |

Number of pages | 12 |

Journal | Journal of Advanced Research in Fluid Mechanics and Thermal Sciences |

Volume | 58 |

Issue number | 2 |

Publication status | Published - 01-06-2019 |

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### All Science Journal Classification (ASJC) codes

- Fluid Flow and Transfer Processes

### Cite this

*Journal of Advanced Research in Fluid Mechanics and Thermal Sciences*,

*58*(2), 161-172.

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*Journal of Advanced Research in Fluid Mechanics and Thermal Sciences*, vol. 58, no. 2, pp. 161-172.

**Analysis of fluid flow between two rotating disks.** / Kumar, Sampath; Pai, Nityanand P.; Ramnarayan, Aditya.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Analysis of fluid flow between two rotating disks

AU - Kumar, Sampath

AU - Pai, Nityanand P.

AU - Ramnarayan, Aditya

PY - 2019/6/1

Y1 - 2019/6/1

N2 - The viscous incompressible fluid is considered between two disks which are spaced a distance H√ (1-αt) and rotating with angular velocities. The governing Navier-Stokes equations reduced to a pair of nonlinear differential equations. We obtain the solution to these equations by computer extended perturbation series solution with special reference to normal forces and torques. The coefficient of the parameter (-g'(0)) decreasing in magnitude and alternating sign. By Domb-sykes plot, the singularity is identified. The series is recasted using Euler transformation. But the coefficients of f'''(0) decreasing in magnitude having fixed sign pattern is recasted using reversion.

AB - The viscous incompressible fluid is considered between two disks which are spaced a distance H√ (1-αt) and rotating with angular velocities. The governing Navier-Stokes equations reduced to a pair of nonlinear differential equations. We obtain the solution to these equations by computer extended perturbation series solution with special reference to normal forces and torques. The coefficient of the parameter (-g'(0)) decreasing in magnitude and alternating sign. By Domb-sykes plot, the singularity is identified. The series is recasted using Euler transformation. But the coefficients of f'''(0) decreasing in magnitude having fixed sign pattern is recasted using reversion.

UR - http://www.scopus.com/inward/record.url?scp=85067959197&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85067959197&partnerID=8YFLogxK

M3 - Article

VL - 58

SP - 161

EP - 172

JO - Journal of Advanced Research in Fluid Mechanics and Thermal Sciences

JF - Journal of Advanced Research in Fluid Mechanics and Thermal Sciences

SN - 2289-7879

IS - 2

ER -