Academic Journals Database
Disseminating quality controlled scientific knowledge

NUMERICAL ANALYSIS OF THE VISCOELASTIC FLUID IN PLANE POISEUILLE FLOW

ADD TO MY LIST
 
Author(s): N. Khorasani | B. Mirzalou

Journal: International Journal of Advances in Engineering and Technology
ISSN 2231-1963

Volume: 3;
Issue: 1;
Start page: 572;
Date: 2012;
VIEW PDF   PDF DOWNLOAD PDF   Download PDF Original page

Keywords: Viscoelastic | Poiseuille flow | Johnson-Segalman | Galerkin | Chandrasekhar

ABSTRACT
The state of flow parameters and bifurcation pictures is evaluated for the flow of a nonlinear viscoelastic fluid in a closed channel. The fluid’s constitutive equation is assumed to be a derivative of Oldroyd-B and the flow is in between two parallel planes driven by a controlled pressure gradient. In simulation, a set of coupled ordinary differential equations with high degree of non-linearity is resulted. The shear stress/ shear rate curve of the fluid has a maximum and a minimum in the steady state condition. The velocity and stress are represented by orthogonal functions in the direction of the flow and transverse to it. The flow field is obtained from the conservation and constitutive equations truncated by Chebychev functions. Normal stress effects are also taken into account. The steady state and transient solutions are obtained for different Weissenberg numbers. It is observed that for a certain Weissenberg number, the system exchanges its stability with a deviation flow. At a second critical number however, the deviation flow diminishes. Finally, it is found that the flow responds oscillatorily when the Reynolds number is small, and monotically at large Reynolds number.
Save time & money - Smart Internet Solutions      Why do you need a reservation system?