Upper Bounds for the Complex Growth Rate of a Disturbance in Ferrothermohaline Convection

• Autorzy: Ram Kaka , Prakash Jyoti , Kumari Kultaran , Kumar Pankaj

Identyfikatory

DOI

10.2478/sgem-2022-0005

• Języki publikacji: EN

Abstrakty

EN

It is proved analytically that the complex growth rate σ= σ_r+iσ_i (σ_r and σ_i 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 σ_rσ_i-plane, whose center is at the origin and (formula) where R_s is the concentration Rayleigh number, P_r′ 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.

Słowa kluczowe

EN

linear stability; ferrofluid; oscillatory motion; ferrothermohaline convection

• Wydawca: De Gruyter
• Czasopismo: Studia Geotechnica et Mechanica
• Rocznik: 2022
• Tom: Vol. 44, nr 2
• Strony: 114--122
• Opis fizyczny: Bibliogr. 31 poz., rys.

Twórcy

autor

Ram Kaka

• Department of Mathematics and Statistics, Himachal Pradesh University, Summer Hill, Shimla 171005, India

autor

Prakash Jyoti

• Department of Mathematics and Statistics, Himachal Pradesh University, Summer Hill, Shimla 171005, India

autor

Kumari Kultaran

• Department of Mathematics and Statistics, Himachal Pradesh University, Summer Hill, Shimla 171005, India

autor

Kumar Pankaj

• Department of Mathematics, Central University of Himachal Pradesh, Dharamshala, District Kangra-176215, India

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