Note on unsteady viscous flow on the outside of an expanding or contracting cylinder

作者：Fang Tiegang^*; Zhang Ji; Zhong Yongfang

来源：Communications in Nonlinear Science & Numerical Simulation, 2012, 17(8): 3124-3128.

DOI：10.1016/j.cnsns.2011.12.013

• Navier-Stokes equations
• Expanding/contracting cylinder
• Similarity solution
• Unsteady flow
• Exact solution

In this paper, the viscous flow on the outside of an expanding or contracting cylinder is studied. The governing Navier-Stokes equations are transformed into a similarity equation, which is solved by a shooting method. The solution is an exact solution to the unsteady Navier-Stokes equations. Results show both trivial and non-trivial solutions. For trivial solutions, there is no axial flow induced during the cylinder expansion or contraction. However, for the non-trivial solutions which only exist for cylinder expansion, an axial flow is generated and its strength increases with the increase in expansion speed.

• 出版日期2012-8