scholarly journals On the Stability of a Steady Convective Flow in a Vertical Layer of a Chemically Reacting Fluid

2021 ◽  
Author(s):  
A. Gritsans ◽  
V. Koliskina ◽  
A. Kolyshkin ◽  
F. Sadyrbaev

The thermal stability of an exothermic chemically reacting slab with time-periodic surface temperature variation is examined. It is shown, on the basis of a good approximation due to Boddington, Gray and Walker, that the behaviour depends on the solutions of an ordinary differential equation of first order. The equation contains a modified amplitude, for small values of which it can be reduced to a particular form of Hill’s equation. Critical values of the Frank-Kamenetskii parameter, as a function of the amplitude ϵ and frequency ω of the surface temperature oscillations, are derived from the latter equation. For ω = 2π and 0 ≼ ϵ ≼ 2 the values are in good agreement with previously calculated ones.


1977 ◽  
Vol 32 (6) ◽  
pp. 688-690
Author(s):  
G. Z. Gershuni ◽  
O. N. Dement'ev ◽  
E. M. Zhukhovitskii

2019 ◽  
Vol 48 (4) ◽  
pp. 1345-1369 ◽  
Author(s):  
Nepal C. Roy ◽  
Anwar Hossain ◽  
Rama S. R. Gorla

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