Plenary Lecture

Numerical Methods to Boundary Layer Problems for Non-Newtonian Media

Professor Gabriella Bognar
Department of Analysis
Faculty of Mechanical Engineering and Informatics
University of Miskolc
Hungary
E-mail: matvbg@uni-miskolc.hu

Abstract: Fluid mechanics plays a much more important role than ever before since Prandtl proposed the boundary layer theory. So far, this theory has been widely used in metallurgical industry, material industry, and petrochemical industry.
We consider the two-dimensional steady flow of a non-Newtonian fluid of constant density modeled by a power law fluid due to Ostwald-de Waele over a plate moving continuously with a constant velocity in an otherwise quiescent fluid medium, or over a steady plate placed into a fluid flow. The boundary layer equations, the continuity and momentum equations, and the appropriate boundary conditions are considered.
Similarity analysis of the boundary flow over a flat surface in a non-Newtonian fluid is considered. Introducing the stream function in governing partial differential equations of mathematical models of various physical processes and similarity analysis is applied to obtain the corresponding boundary value problems. We study the applicability of different numeric techniques for the determination of the velocity profiles to different problems.

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 120 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.

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