Numerical Solution for Accelerated Rotating Disk in a Viscous Fluid

• 作者: Farooq Ahmad Mohammad Shafique Sajjad Hussain Sifat Hussain
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: NEWTONIAN FLUIDS Numerical Analysis Rotating DISK
• 年，卷（期）: 2013,（6）
• 页码范围: 899-902
• 页数: 4页
• 分类号: O1

摘要

The problem of a disk rotating in a viscous fluid has been investigated. The disk is accelerated with angular velocity proportional to time. Employing suitable similarity transformations the governing partial differential equations are transformed in to ordinary differential form. The resulting equations are solved numerically using SOR method and Simpson’s (1/3) rule. The results have been improved by using Richardson’s extrapolation. The effect of the non-dimensional parameter s which measures unsteadiness is observed on velocity components, skin friction coefficient and torque of the disk.