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.
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12 October 2017
APPLICATION OF MATHEMATICS IN TECHNICAL AND NATURAL SCIENCES: 9th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences - AMiTaNS’17
21–26 June 2017
Albena, Bulgaria
Research Article|
October 12 2017
Convective instability of non-isothermal Couette flow between two rotating cylinders caused by internal heat generation in accordance with the Arrhenius law
A. Kolyshkin;
A. Kolyshkin
a)
Riga Technical University
, 2 Daugavgrivas str., Riga, Latvia
, LV 1007
Search for other works by this author on:
V. Koliskina
V. Koliskina
b)
Riga Technical University
, 2 Daugavgrivas str., Riga, Latvia
, LV 1007
Search for other works by this author on:
a)
Corresponding author: andrejs.koliskins@rtu.lv
AIP Conf. Proc. 1895, 080004 (2017)
Citation
A. Kolyshkin, V. Koliskina; Convective instability of non-isothermal Couette flow between two rotating cylinders caused by internal heat generation in accordance with the Arrhenius law. AIP Conf. Proc. 12 October 2017; 1895 (1): 080004. https://doi.org/10.1063/1.5007398
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