Temat: oscillatory motions - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Upper Bounds for the Complex Growth Rate of a Disturbance in Ferrothermohaline Convection
Autorzy:: Ram, Kaka
Prakash, Jyoti
Kumari, Kultaran
Kumar, Pankaj
Powiązania:: https://bibliotekanauki.pl/articles/2086773.pdf
Data publikacji:: 2022
Wydawca:: Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
Tematy:: linear stability
ferrofluid
oscillatory motions
ferrothermohaline convection
Opis:: It is proved analytically that the complex growth rate σ= σr+iσi (σr and σi are the real and imaginary parts of σ, respectively) of an arbitrary oscillatory motion of neutral or growing amplitude in ferrothermohaline convection in a ferrofluid layer for the case of free boundaries is located inside a semicircle in the right half of the σrσi-plane, whose center is at the origin (formula) where Rs is the concentration Rayleigh number, Pr′ is the solutal Prandtl number, M1′ is the ratio of magnetic flux due to concentration fluctuation to the gravitational force, and M5 is the ratio of concentration effect on magnetic field to pyromagnetic coefficient. Further, bounds for the case of rigid boundaries are also derived separately.
Źródło:: Studia Geotechnica et Mechanica; 2022, 44, 2; 114--122
0137-6365
2083-831X
Pojawia się w:: Studia Geotechnica et Mechanica
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: The onset of convection in a rotating multicomponent fluid layer
Autorzy:: Prakash, J.
Singh, V.
Kumar, R.
Kumari, K.
Powiązania:: https://bibliotekanauki.pl/articles/281283.pdf
Data publikacji:: 2016
Wydawca:: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:: multicomponent convection
principle of exchange of stabilities
oscillatory motions
complex growth rate
concentration Rayleigh number
Lewis number
Opis:: The onset of convective instability is analysed in a rotating multicomponent fluid layer in which density depends on n stratifying agents (one of them is heat) having different diffusivities. Two problems have been analysed mathematically. In the first problem, a sufficient condition is derived for the validity of the principle of the exchange of stabilities. Further, when the complement of this condition holds good, oscillatory motions of neutral or growing amplitude can exist, and thus it is important to derive upper bounds for the complex growth rate of such motions when at least one of the bounding surfaces is rigid so that exact solutions of the problem in closed form are not obtainable. Thus, as the second problem, bounds for the complex growth rates are also obtained. Above results are uniformly valid for quite general nature of the bounding surfaces.
Źródło:: Journal of Theoretical and Applied Mechanics; 2016, 54, 2; 477-488
1429-2955
Pojawia się w:: Journal of Theoretical and Applied Mechanics
Dostawca treści:: Biblioteka Nauki

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