TITLE:
The Oscillatory Motion of Oldroyd-B Fluid by Incorporating Some of the Mechanical Factors
AUTHORS:
Amir Khan, Gul Zaman, Yongjin Li, Saeed Ahmad, Altaf Hussain
KEYWORDS:
Oldroyd-B Fluid, Brownian Force, Finite Difference, Oscillatory Flows
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.5 No.12,
December
29,
2017
ABSTRACT: The aim of this paper is to present a numerical
study of oscillatory motion of Oldroyd-B fluid in a uniform magnetic field
through a small circular pipe. First, we derive the orientation stress tensor
by considering the Brownian force. Then, the orientation stress tensor is
incorporated by taking Hookean dumbbells on Brownian configuration fields in
the Oldroyd-B model. The Oldroyd-B model is then reformulated coupled with the
momentum equation and the total stress tensor. Finally, we analyze the
orientation stress tensor in the pipe by the numerical simulations of the model
and showed that the effect of orientation stress tensor is considerable
although the Brownian force is sufficiently small.