Thesis topic proposal
Gabriella Vadászné Bognár
Similarity solutions of MHD flow in non-Newtonian power-law fluid


Institute: University of Miskolc
mechanical engineering
István Sályi Doctoral School of Mechanical Engineering Sciences

Thesis supervisor: Gabriella Vadászné Bognár
Location of studies (in Hungarian): Department of Machine and Product Design
Abbreviation of location of studies: GET

Description of the research topic:

The problem of the MHD boundary layer flow of power law non-Newtonian fluids with various boundary conditions will be studied. Similarity transformations are possible for momentum and heat equation of viscous fluids. Under appropriate assumptions, partial differential equations are transformed into an autonomous third-order nonlinear degenerate ordinary differential equation with boundary conditions. Using a shooting method the skin friction parameters, which are found to depend on the values of the power law index n. it is involved in the drag coefficient,, velocity and thermal properties are examined. Some solutions will be presented graphically to illustrate the results and the behaviors of the solutions.

Suggested publications:

[1] Bognar G, Similarity solution of boundary layer flows for non-Newtonian fluids, INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION 10:(11-12)pp. 1555-1566. (2009) https://doi.org/10.1515/IJNSNS.2009.10.11-12.1555
[2] Bognár G, On similarity solutions of MHD flow over a nonlinear stretching surface in non-Newtonian power-law fluid, ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS Proceedings:(6)pp. 1-12. (2016)
[3] Bognár G, On similarity solutions to boundary layer problems with upstream moving wall in non-Newtonian power-law fluids IMA JOURNAL OF APPLIED MATHEMATICS 77:(4) pp. 546-562. (2012) https://doi.org/10.1093/imamat/hxr033
[4] Vadászné Bognár Gabriella, Analysis of tribological phenomena in viscous fluid flows over solid surfaces: Thesis 2013.

Number of students who can be accepted: 2

Deadline for application: 2018-06-30

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