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Section's Home Events Seminars in 2002 2D Model for Soft Tissue
SEMINARS IN 2002

Title
Two-Dimensional Rayleigh Model for Bubble Evolution in Soft Tissue Using Finite Elements

Date: May 30, 2002
Thursday
Time: 2:30-3:30 PM
Place: Univ of Manitoba
Wallace Bldg.
Rm 221
Winnipeg
Contacts
Speaker
Menahem Friedman, Ph.D.

Nuclear Research Center Ð Negev
Department of Physics
Israel

email: kinsner@ee.umanitoba.ca

Organizers & Sponsors
  • Department of Electrical & Computer Engineering (Dr. Shwedyk)
  • IEEE Communications Chapter

    Fees
    IEEE Members: Students
    Professionals    		 Free
    Free    		 General Public: Students
    Professionals    		 Free
    Free

    Parking
  • Free in front of the school

    Attendance: 40
    • SYNOPSIS
    Abstract:  The understanding of vapor bubble generation in a soft tissue near a fiber-optic tip has in the past required two-dimensional (2D) hydrodynamic simulations. For 1D spherical bubble expansions a simplified and useful Rayleigh-type model can be applied. For 2D bubble evolution, such a model has not been developed. In this work we develop a Rayleigh-type model for 2D bubble expansion that is much faster and simpler than 2D hydrodynamic simulations and can be applied toward the design and understanding of fiber based medical therapies. The model is based on a flow potential representation of the hydrodynamic motion and is described by a Laplace equation with a moving boundary condition at the bubble surface. In order for the Rayleigh-type 2D model to approximate bubble evolution in soft tissue, we include viscosity and surface tension to the fluid description. We show that the 1D Rayleigh equation is a special case of our model. The Laplace equation is solved for each time step by a finite element solver, using a fast triangular unstructured mesh generator. Our simulations include features of bubble evolution as seen in experiments and are in good agreement with 2D hydrodynamic simulations.

    Bio:  Dr. Menahem Friedman was born in Jerusalem, Israel. He received his M.Sc. in Mathematics from the Hebrew University in Jerusalem and his Ph.D. degree from the Weizmann Institute in Rehovot, Israel. During 1967-69 he was at the University of Minnesota on a post-doctoral program. Since 1969 he has been a Senior Research Scientist at the Nuclear Research Center Ð Negev (NRCN), and associated with Ben Gurion University in Beer Sheva, Israel, through teaching and research. He has published numerous papers on numerical analysis, physics and artificial intelligence. He wrote two books: Fundamentals of Computer Numerical Analysis and Introduction to Pattern Recognition (both co-authored with Prof. A. Kandel, University of Southern Florida, Tampa, FL).

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