Convective Instability of Non-Isothermal Couette Flow between Two Rotating Cylinders caused by Internal Heat Generation in Accordance with the Arrhenius Lawon Mathematical Problems in Engineering, Aerospace and Sciences

AIP Conference Proceedings: 9th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences (AMiTaNS 2017) 2017
Andrejs Koliškins, Valentīna Koliškina

Linear stability of a steady non-isothermal Couette flow between two cylinders for the case where the inner cylinder is rotating with constant angular velocity ω while the outer cylinder is at rest is investigated. The base velocity vector has two components: the azimuthal component due to rotation and the vertical component due to internal heat sources distributed within the fluid in accordance with the Arrhenius law. The base flow velocity and temperature satisfy a nonlinear boundary value problem which is solved numerically. Linearized equations for the perturbed quantities are solved by means of the collocation method based on the Chebyshev polynomials. Numerical results show that the increase in ω destabilizes the flow. Thus, rotation can be considered as one of the factors that enhances instability.

Keywords
Chemically reacting fluid, Taylor-Couette flow, linear stability
DOI
10.1063/1.5007398
Hyperlink
http://aip.scitation.org/doi/abs/10.1063/1.5007398

Koliškins, A., Koliškina, V. Convective Instability of Non-Isothermal Couette Flow between Two Rotating Cylinders caused by Internal Heat Generation in Accordance with the Arrhenius Lawon Mathematical Problems in Engineering, Aerospace and Sciences. In: AIP Conference Proceedings: 9th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences (AMiTaNS 2017), Bulgaria, Albena, 21-26 June, 2017. Melville: American Institute of Physics, 2017, pp.080004-080007. ISBN 978-073541579-9. ISSN 0094-243X. Available from: doi:10.1063/1.5007398

Publication language
English (en)