Numerical Investigation of Two-Dimensional Oldroyd-B Fluid Flows Over A Straight Rectangular Domain

Authors

  • K. M. Helal Department of Mathematics, Comilla University, Cumilla, Bangladesh

DOI:

https://doi.org/10.3329/jsr.v12i3.44970

Abstract

In this paper, non-Newtonian viscoelastic Oldroyd-B fluid flows in two-dimensional rectangular domain is numerically investigated, where the flow between two rigid walls is driven by a pressure difference along -direction (horizontal). The numerical results of the nonlinear system of partial differential equations are obtained by decoupling the system into Navier-Stokes system and tensorial transport equation. Computational Fluid Dynamics (CFD) simulations are done by using the finite element method. The numerical simulations are presented in terms of the contours of velocity, pressure and extra stress tensor. The Hood-Taylor finite element method is used for the approximation of the velocity and the pressure while the discontinuous Galerkin method is used to approximate the stress tensor. All the meshes and simulations are carried out by the general finite element solver FreeFem++, which has been found as a potential tool to provide a reasonably good numerical simulations of complicated flow behavior.

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Author Biography

K. M. Helal, Department of Mathematics, Comilla University, Cumilla, Bangladesh

Assistant Professor

Department of Mathematics

Comilla University

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Published

2020-05-01

How to Cite

Helal, K. M. (2020). Numerical Investigation of Two-Dimensional Oldroyd-B Fluid Flows Over A Straight Rectangular Domain. Journal of Scientific Research, 12(3), 327–339. https://doi.org/10.3329/jsr.v12i3.44970

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Section

Section A: Physical and Mathematical Sciences