Effect of temperature dependent viscosity on the thermal instability of two-dimensional stagnation point flow
Year: 2015
Type: article
Abstract: This paper presents numerical study of thermal instability of a two-dimensional stagnation point flow when the fluid viscosity is assumed to vary as a linear function of temperature. Similarity transformation was used to reduce the partial differential boundary layer equations to a non linear system of coupled ordinary differential equations before solving it numerically using the fourth order Runge-Kutta method with shooting technique. The linear stability of the basic flow to three-dimensional disturbances is then investigated by making use of the normal mode decomposition within the Görtler-Hammerlin framework. The equations of linear stability theory create an eigenvalue problem which is solved numerically by means of a pseudo spectral collocation method using Laguerre’s polynomials. The numerical experiment reveals that temperature-dependent viscosity affects significantly the onset of thermal instability. It is found that the increase in the temperature-dependent fluid viscosity acts to increase the stability of the basic flow.
Source: Mechanics & Industry
DOI: 10.1051/meca/2015031
Institution: University of Béjaïa
Language: English
Subfield: Computational Mechanics
Field: Engineering
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $1,243
OpenAlex ID: W810751473