Skip to main content

A Generalized Model for Transitional Blade Tip Vortices

Buy Article:

$30.00 plus tax (Refund Policy)

A mathematical model is proposed to represent the induced velocity of a rotor blade tip vortex at any vortex Reynolds number. Rotating‐wings operate at conditions where the tip vortex Reynolds number is in the intermediate (transitional) regime when the vortex is neither fully laminar nor turbulent. An analytical model for a transitional vortex has been developed using an eddy viscosity intermittency function in such a way that this function smoothly and continuously models the eddy viscosity variation across the vortex from its inner rotational region into the outer potential flow region. This intermittency function is developed based on Richardson number concept, which brings in the effects of swirling flow (rotation) on turbulence present inside the vortex boundaries. This model is then incorporated into the Navier‐Stokes equations governing the development of an axisymmetric vortex flow. A unique aspect of the proposed model is the Reynolds number dependency of the final solutions. Furthermore, because the solutions satisfy the Navier‐Stokes equations, vortex velocity profiles can be solved for any given vortex Reynolds number. The model is shown to correctly reduce to the solution for a laminar (Lamb‐Oseen) model for very low Reynolds numbers. The proposed model is validated using tip vortex flow measurements for a hovering rotor.
No Reference information available - sign in for access.
No Citation information available - sign in for access.
No Supplementary Data.
No Data/Media
No Metrics

Document Type: Research Article

Affiliations: Alfred Gessow Rotorcraft Center, Department of Aerospace Engineering, Glenn L. Martin Institute of Technology, University of Maryland, College Park, MD

Publication date: 2006-01-01

More about this publication?
  • The Journal of the American Helicopter Society is the world's only scientific journal dedicated to vertical flight technology. It is a peer-reviewed technical journal published quarterly by AHS International and presents innovative papers covering the state-of-the-art in all disciplines of rotorcraft design, research and development. (Please note that AHS members receive significant discounts on articles and subscriptions.)

    Journal subscribers who are AHS members log in here if you are not already logged in.

    Authors can find submission guidelines and related information on the AHS website.

  • Access Key
  • Free content
  • Partial Free content
  • New content
  • Open access content
  • Partial Open access content
  • Subscribed content
  • Partial Subscribed content
  • Free trial content
Cookie Policy
X
Cookie Policy
Ingenta Connect website makes use of cookies so as to keep track of data that you have filled in. I am Happy with this Find out more