Open AccessInstability in Casson nanofluids for Darcy-Brinkman model
Author(s) -
Mamta Devi,
Jyoti Sharma,
Urvashi Gupta
Publication year - 2022
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/1225/1/012011
Subject(s) - nanofluid , instability , convective instability , mechanics , convection , porous medium , momentum (technical analysis) , rayleigh number , physics , mathematics , classical mechanics , thermodynamics , materials science , natural convection , porosity , heat transfer , economics , finance , composite material
The convective instability of Casson nanofluids saturating porous medium is investigated analytically and numerically. Darcy-Brinkman law is utilized to frame the momentum equation for the system. The governing equations are simplified using normal mode analysis and linear stability theory. The present study finds the expressions of thermal Rayleigh number for various boundaries and discusses the convective instability under various effects with the help of Wolfram Mathematica software. Out of all the boundaries, the instability of the layer is found to be least for both rigid boundaries. It is established that the convection in the fluid gets delayed due to porosity effects while non-Newtonian property and nano scale effects contribute significantly in making the layer unstable.