Open AccessStability of Viscous Flow in a Curved Porous Channel with Radial Flow
Author(s) -
Sadhana Pandey Prof. Ashok Kumar Singh and Dr. Alok Tripathi
Publication year - 2020
Publication title -
international journal of modern trends in science and technology
Language(s) - English
Resource type - Journals
ISSN - 2455-3778
DOI - 10.46501/ijmtst060936
Subject(s) - mechanics , flow (mathematics) , galerkin method , amplitude , pressure gradient , stability (learning theory) , open channel flow , linear stability , physics , hele shaw flow , mathematics , geometry , instability , thermodynamics , optics , computer science , finite element method , machine learning
In this paper, we present a linear hydrodynamic stability analysis of the fluid, flowing in a porous curvedchannel. The motion is due to Pressure gradient acting round the curved channel and an imposed radial flow.The analytical solution of the eigen value problem is obtained by using the Galerkin’s method, for the widegap case. Results for critical wave number and Dean Number are obtained and are compared with earlierresult. The agreement is very good. Also, the stability curve, amplitude of the radial velocity and thecell-pattern are shown on graphs. The results show that the flow is strongly stabilized by an outward radialflow and weakly stabilized by a strong inward radial flow, while it is destabilized by a weak inward radialflow. In presence of outward flow, wide gap systems show stronger stability than the small gap system.