Analysis of fluid flow between two rotating disks

Sampath Kumar, Nityanand P. Pai, Aditya Ramnarayan

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)161-172
Number of pages12
JournalJournal of Advanced Research in Fluid Mechanics and Thermal Sciences
Volume58
Issue number2
Publication statusPublished - 01-06-2019

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Rotating disks
Angular velocity
Navier Stokes equations
Flow of fluids
Differential equations
Torque
Fluids

All Science Journal Classification (ASJC) codes

  • Fluid Flow and Transfer Processes

Cite this

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

In: Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, Vol. 58, No. 2, 01.06.2019, p. 161-172.

Research output: Contribution to journalArticle

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