Malaysian Journal of Mathematical Sciences, May 2017, Vol. 11, No. 2
Qualitative Analysis of Stationary Generalized Viscoplastic Fluid Flows
Elborhamy, M.
Corresponding Email: mmaelborhamy@yahoo.com
Received date: 12 November 2016
Accepted date: 23 February 2017
Abstract:
In this article, we consider the qualitative analysis of the generalized stationary regularized viscoplastic fluid equations with highly nonlinear
viscosity. The existence and uniqueness of weak solutions are proved using the theory of monotone operators. Under certain conditions, the
contractive property of the viscoplastic operator is used to be a tool to show the stability of solutions for the Dirichlet's problem with sources. Some technical properties are proved which have good fitting with the experimental results for some types of flows. A novel viscoplastic model is proposed to avoid the singularity of the nonlinear viscoplastic viscosity.
Keywords: Generalized viscoplastic fluid, Fixed point theorems, Monotone Operators
Indexing
