number [4] or flows at early times after an impulsive start [5]. Experimental techniques have become very sophisti-Flow over elliptic cylinders can be considered prototypical of flow over a range of bluff bodies since the geometry allows one to study cated in recent years but an extensive spatial an
NUMERICAL SIMULATION OF LAMINAR FLOW PAST A TRANSVERSELY VIBRATING CIRCULAR CYLINDER
β Scribed by B.S VARAPRASAD PATNAIK; P.A ASWATHA NARAYANA; K.N SEETHARAMU
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 255 KB
- Volume
- 228
- Category
- Article
- ISSN
- 0022-460X
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β¦ Synopsis
Flow past a transversely vibrating circular cylinder is numerically simulated by solving the Navier}Stokes equations and by implementing a modi"ed velocity correction method. Galerkin weighted residual formulation is employed for the spatial discretization along with a second order Runge}Kutta time integration. Primitive variables are approximated by polynomial basis functions de"ned over three-noded linear triangular elements. The frame of reference is "xed with respect to the vibrating body and the additional acceleration term arising out of this non-inertial transformation is added to the >-momentum equation. The in#uence of the cylinder vibration on the wake patterns, phase plane, lift and drag forces, etc., is investigated. The synchronization regime or the &&lock-in'' boundaries are also established from the present numerical simulations. 1999 Academic Press *u *x # *v *y "0, (2) 460 B. S. V. PATNAIK ET AL. *u *t #u *u *x #v *u *y "! *p *x # 1 Re u (3) *v *t #u *v *x #v *v *y "! *p *y #
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