Rotating Brinkman-Lapwood Convection with Modulation
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作者:
Om
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Jai Narain Vyas Univ, Fac Sci, Dept Math & Stat, Jodhpur 342005, Rajasthan, IndiaJai Narain Vyas Univ, Fac Sci, Dept Math & Stat, Jodhpur 342005, Rajasthan, India
Om
[1
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Bhadauria, B. S.
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Banaras Hindu Univ, Fac Sci, Dept Math, DST Ctr Interdisciplinary Math Sci, Varanasi 221005, Uttar Pradesh, IndiaJai Narain Vyas Univ, Fac Sci, Dept Math & Stat, Jodhpur 342005, Rajasthan, India
Bhadauria, B. S.
[2
]
Khan, A.
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Jai Narain Vyas Univ, Fac Sci, Dept Math & Stat, Jodhpur 342005, Rajasthan, IndiaJai Narain Vyas Univ, Fac Sci, Dept Math & Stat, Jodhpur 342005, Rajasthan, India
Khan, A.
[1
]
机构:
[1] Jai Narain Vyas Univ, Fac Sci, Dept Math & Stat, Jodhpur 342005, Rajasthan, India
[2] Banaras Hindu Univ, Fac Sci, Dept Math, DST Ctr Interdisciplinary Math Sci, Varanasi 221005, Uttar Pradesh, India
The purpose of this article is to analyze, theoretically, the effect of modulation on rotating Brinkman-Lapwood convection, i.e., buoyancy-driven convection in a sparse porous medium subjected to rotation. Darcy-Brinkman momentum equation with Coriolis term has been used to describe the flow. The system is considered rotating about an axis with non-uniform rotation speed. In particular, we assume that the rotation speed is varying sinusoidally with time. A linear stability analysis has been performed to find the critical Rayleigh number in modulated case. The effect of modulated rotation speed is found to have a stabilizing effect on the onset of convection for different values of modulation frequency and the other physical parameters involved.
机构:
Univ Napoli Federico II, Dipartimento Matemat & Applicaz Renato Caccioppoli, Via Cintia, I-80126 Naples, ItalyUniv Napoli Federico II, Dipartimento Matemat & Applicaz Renato Caccioppoli, Via Cintia, I-80126 Naples, Italy
Capone, Florinda
Gianfrani, Jacopo A.
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Univ Napoli Federico II, Dipartimento Matemat & Applicaz Renato Caccioppoli, Via Cintia, I-80126 Naples, ItalyUniv Napoli Federico II, Dipartimento Matemat & Applicaz Renato Caccioppoli, Via Cintia, I-80126 Naples, Italy
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Himachal Pradesh Univ, Dept Math & Stat, Summer Hill, Shimla 171005, IndiaHimachal Pradesh Univ, Dept Math & Stat, Summer Hill, Shimla 171005, India
Sharma, Pushap Lata
Bains, Deepak
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Himachal Pradesh Univ, Dept Math & Stat, Summer Hill, Shimla 171005, IndiaHimachal Pradesh Univ, Dept Math & Stat, Summer Hill, Shimla 171005, India
Bains, Deepak
Rana, Gian Chand
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NSCBM Govt Coll Hamirpur, Dept Math, Hamirpur 177005, Himachal Prades, India
NSCBMGC Hamirpur, Dept Math, Hamirpur 177005, Himachal Prades, IndiaHimachal Pradesh Univ, Dept Math & Stat, Summer Hill, Shimla 171005, India
机构:
Wenzhou Kean Univ, Coll Sci Math & Technol, Sch Math Sci, Wenzhou 325060, Peoples R China
Wenzhou Kean Univ, WKU Ctr Appl Math Modelling & Computat, Wenzhou 325060, Peoples R ChinaWenzhou Kean Univ, Coll Sci Math & Technol, Sch Math Sci, Wenzhou 325060, Peoples R China
Rana, Puneet
Zhu, Xinyi
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Wenzhou Kean Univ, Coll Sci Math & Technol, Sch Math Sci, Wenzhou 325060, Peoples R China
Wenzhou Kean Univ, WKU Ctr Appl Math Modelling & Computat, Wenzhou 325060, Peoples R ChinaWenzhou Kean Univ, Coll Sci Math & Technol, Sch Math Sci, Wenzhou 325060, Peoples R China
Zhu, Xinyi
Agarwal, Shilpi
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Mahatma Gandhi Govt Arts Coll, Pondicherry, IndiaWenzhou Kean Univ, Coll Sci Math & Technol, Sch Math Sci, Wenzhou 325060, Peoples R China