TITLE:
The Accelerated Rotating Disk in a Micropolar Fluid Flow
AUTHORS:
Sajjad Hussain, Muhammad Anwar Kamal, Farooq Ahmad
KEYWORDS:
Micropolar Fluids; Numerical Analysis; Rotating Disk
JOURNAL NAME:
Applied Mathematics,
Vol.5 No.1,
January
16,
2014
ABSTRACT: The problem of a
micropolar fluid about an accelerated disk rotating with angular velocity Ω proportional to time has been studied. By
means of the usual similarity transformations, the governing equations are
reduced to ordinary non-linear differential equations and then solved
numerically, using SOR method and Simpson’s (1/3) rule for s ≥ 0,
where s is non-dimensional parameter
which measures unsteadiness. The calculations have been carried out using three
different grid sizes to check the accuracy of the results. The results have
been improved by using Richardson’s
extrapolation.