Plenary Lecture
The Solutions to the Boundary Layer Problems on the Half-Line
Professor Gabriella Bognar
Department of Analysis
Faculty of Mechanical Engineering and Informatics
University of Miskolc
Hungary
E-mail: matvbg@uni-miskolc.hu
Abstract: Fluid flow considerations are important in a wide variety of manufacturing processes, e.g., in extrusion, casting and crystal growing. Because of the importance of materials processing, considerable effort has been devoted at the transport phenomena in such processes. For the mathematical modeling the governing equations for fluid flow and the associated heat transfer are derived from the basic conservation principles for mass, momentum and energy. It follows from the complexity of these equations and the boundary conditions that analytical methods can be used to obtain solutions only in a few cases. These solutions are valuable since they provide results that can be applied for verifying numerical models and they give physical insight into the basic mechanisms.
We introduce the similarity analysis to the boundary flow over a flat surface in non-Newtonian fluids. The governing partial differential equations of mathematical models are transformed to boundary value problems for similar ordinary differential equations. We are studying the behavior of the solutions to different problems: boundary layer flow past a stationary surface or boundary layer flow over a solid surface continuously moving in a fluid.
Brief Biography of the Speaker: Professor Bognar received the M.Sc. in Mechanical Engineering from University of Miskolc, Miskolc, Hungary, Ph.D. and 'Candidate' degree in mathematics from the Hungarian Academy of Sciences. Since her graduation she has been teaching different subjects of mathematics for undergraduate, graduate and doctoral students at University of Miskolc. She was conferred the postdoctoral lecture qualification (Dr. habil) in 2006. Her research interests include boundary and eigenvalue problems of nonlinear ordinary and partial differential equations. Gabriella Bognar has authored/edited 11 books, and published over 80 research papers. She also serves as the Vice Dean for Research and International Affairs at the Faculty of Mechanical Engineering and Informatics, University of Miskolc.