On the Stability of a Convective Motion Generated by a Chemically Reacting Fluid in a Pipe

AIP Conference Proceedings: International Conference on Numerical Analysis and Applied Mathematics 2015 (ICNAAM 2015) 2016
Valentīna Koliškina, Andrejs Koliškins, Inta Volodko, Harijs Kalis

Linear stability analysis of a chemically reacting fluid motion in a pipe is performed in the present paper. The reaction rate has an Arrhenius form. The base flow and temperature distribution is obtained from the nonlinear heat equation coupled with the equations of motion. The stability of the flow with respect to asymmetric (spiral) perturbations is investigated numerically. The critical Grasshof number of the flow depends on two dimensionless parameters: the Prandtl number and the Frank-Kamenetsky parameter. The increase of both parameters has a destabilizing influence on the flow. It is shown that the second branch of a marginal stability curve corresponding to smaller critical Grasshof numbers appears as the Prandtl number increases.

Atslēgas vārdi
Arrhenius law; convective motion; linear stability
DOI
10.1063/1.4952264
Hipersaite
http://scitation.aip.org/content/aip/proceeding/aipcp/10.1063/1.4952264

Koliškina, V., Koliškins, A., Volodko, I., Kalis, H. On the Stability of a Convective Motion Generated by a Chemically Reacting Fluid in a Pipe. No: AIP Conference Proceedings: International Conference on Numerical Analysis and Applied Mathematics 2015 (ICNAAM 2015), Grieķija, Rhodes, 23.-29. septembris, 2015. Melville: American Institute of Physics Inc., 2016, 136.-140.lpp. ISBN 978-073541392-4. ISSN 0094-243X. Pieejams: doi:10.1063/1.4952264

Publikācijas valoda
English (en)