A Graphical Technique for Solving the Couette-Poiseuille Problem for Generalized Newtonian Fluids

  • Péter Nagy-György Department of Hydrodynamic Systems, Faculty of Mechanical Engineering, Budapest University of Technology and Economics, Hungary
  • Csaba Hős Department of Hydrodynamic Systems, Faculty of Mechanical Engineering, Budapest University of Technology and Economics, Hungary

Abstract

This paper addresses the mixed Couette-Poiseuille problem, that is the flow between two parallel plates, in the presence of simultaneous pressure gradient and wall motion. Instead of the wall-normal coordinate y, we use the local shear stress as our primary variable and rewrite the corresponding formulae for the velocity profile, flow rate, etc. This gives rise to a graphical technique for solving the problem in the case of arbitrary (possibly measured) generalized Newtonian fluid rheology. We demonstrate the use of the proposed technique on two problems: (a) Bingham fluid and (b) a non-Newtonian fluid with general, nonmonotonous viscosity function.

Keywords: generalized Couette flow, Poiseuille flow, non-Newtonian liquid, graphical solution, Bingham fluid
Published online
2018-05-15
How to Cite
Nagy-György, P. and Hős, C. (2019) “A Graphical Technique for Solving the Couette-Poiseuille Problem for Generalized Newtonian Fluids”, Periodica Polytechnica Chemical Engineering, 63(1), pp. 200-209. doi: https://doi.org/10.3311/PPch.11817.
Section
Articles