On the stability of a convective motion generated by a chemically reacting fluid in a pipe

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 flo...

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Bibliographic Details
Main Authors: Koliskina, V., Kolyshkin, A., Volodko, I., Kalis, H.
Format: Conference Proceeding
Language:English
Subjects:
Base flow
Dimensionless numbers
Equations of motion
Flow stability
Motion stability
Organic chemistry
Parameters
Pipes
Prandtl number
Stability analysis
Temperature distribution
Thermodynamics
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Summary: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.
ISSN:0094-243X
1551-7616
DOI:10.1063/1.4952264