Analysis of Fluid Flow Between Two Rotating Disks

Sampath Kumar; NityanandP Pai; Aditya Ramnarayan

Authors

Sampath Kumar Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal, India
NityanandP Pai Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal, India
Aditya Ramnarayan Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal, India

Keywords:

Navier-stokes equation, computer extended series, normal force and torques, Euler transformation, reversion

Abstract

The viscous incompressible fluid is considered between two disks which are spaced a distance and rotating with angular velocities. The governing Navier-Stokes equations reducedto 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 specific parameter decreasing in magnitude and alternating sign. By Domb-sykes plot, the singularity is identified. The series is recasted using Euler transformation. But the specific coefficients decreasing in magnitude having fixed sign pattern is recasted using reversion.