JP Journal of Heat and Mass Transfer
Volume 18, Issue 2, Pages 315 - 329
(December 2019) http://dx.doi.org/10.17654/HM018020315 |
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LINEAR STABILITY OF A CONVECTIVE FLOW IN AN ANNULUS WITH A NONLINEAR HEAT SOURCE
Ilmars Iltins, Marija Iltina, Andrei Kolyshkin and Valentina Koliskina
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Abstract: Linear stability of a convective motion in a tall vertical annulus is analyzed in the paper. The base flow is generated by a non-linear heat source. The base flow velocity and temperature distributions are obtained numerically solving the system of the Navier-Stokes equations under the Boussinesq approximation. Linear stability problem is solved for axisymmetric and asymmetric perturbations by a collocation method based on the Chebyshev polynomials. Numerical results show that there are three destabilizing factors: (1) the increase of the gap between the cylinders, (2) the increase of the Frank-Kamenetsky parameter characterizing the rate and intensity of a chemical reaction and (3) the increase of the Prandtl number. |
Keywords and phrases: linear stability, nonlinear heat sources, Arrhenius law.
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