The paper treats the stability of a periodic unidirectional two-dimensional flow of micropolar fluid. An exact value of the critical Reynolds number R(c) is found for a wide class of such flows. As well as for the Newtonian fluid, the secondary flow proves to be a large-scale coherent vortex structure near the stability threshold, R - R(c) << 1.
机构:
Zhejiang Normal Univ, Coll Math Phys & Informat Engn, Jinhua 321004, Peoples R ChinaZhejiang Normal Univ, Coll Math Phys & Informat Engn, Jinhua 321004, Peoples R China
He, Xiaowei
Fan, Jishan
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Nanjing Forestry Univ, Dept Appl Math, Nanjing 210037, Peoples R ChinaZhejiang Normal Univ, Coll Math Phys & Informat Engn, Jinhua 321004, Peoples R China
机构:
Umm Al Qura Univ, Fac Appl Sci, Dept Math Sci, POB14035, Mecca 21955, Saudi ArabiaUmm Al Qura Univ, Fac Appl Sci, Dept Math Sci, POB14035, Mecca 21955, Saudi Arabia
Alghamdi, Ahmad M.
Gala, Sadek
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ENS Mostaganem, Dept Math, Box 227, Mostaganem 27000, Algeria
Univ Catania, Dipartimento Matemat & Informat, 6,Viale Andrea Doria, I-95125 Catania, ItalyUmm Al Qura Univ, Fac Appl Sci, Dept Math Sci, POB14035, Mecca 21955, Saudi Arabia
Gala, Sadek
Ragusa, Maria Alessandra
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Univ Catania, Dipartimento Matemat & Informat, 6,Viale Andrea Doria, I-95125 Catania, Italy
RUDN Univ, 6 Miklukho Maklay St, Moscow 117198, RussiaUmm Al Qura Univ, Fac Appl Sci, Dept Math Sci, POB14035, Mecca 21955, Saudi Arabia