On the upper limits for complex growth rate in rotatory electrothermoconvection in a dielectric fluid layer saturating a sparsely distributed porous medium

• Autorzy: Kumar Jitender , Kumari Chitresh , Prakash Jyoti

Identyfikatory

DOI

10.2478/sgem-2024-0008

• Języki publikacji: EN

Abstrakty

EN

It is proved analytically that the complex growth rate n = n_r + in_i (n_r and n_i are the real and imaginary parts of n , respectively) of an arbitrary neutral or unstable oscillatory disturbance of growing amplitude in rotatory electrothermoconvection in a dielectric fluid layer saturating a sparsely distributed porous medium heated from below, for the case of free boundaries, is located inside a semicircle in the right half of the n_rn_i − plane, whose centre is at the origin and radius = [formula], where T_a is the modified Taylor’s number, P_r is the modified Prandtl number, R_ea is electric Rayleigh number and A is the ratio of heat capacities. The upper limits for the case of rigid boundaries are derived separately. Furthermore, similar results are also derived for the same configuration when heated from above.

Słowa kluczowe

EN

linear stability analysis; dielectric fluid; oscillatory instability; complex growth rate; electrothermoconvection

• Wydawca: De Gruyter
• Czasopismo: Studia Geotechnica et Mechanica
• Rocznik: 2024
• Tom: Vol. 46, nr 3
• Strony: 135--146
• Opis fizyczny: Bibliogr. 36 poz., rys.

Twórcy

autor

Kumar Jitender

• Department of Mathematics, Baba Balak Nath College, Hamirpur, Himachal Pradesh, 176039, India

autor

Kumari Chitresh

• 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

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