Thermodynamics of micropolar Bingham fluids

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• 作者：V.V. Shelukhin ; ^a ; ^b ; ^{shelukhin@list.ru} ; V.V. Neverov^a ; ^b
• 关键词：Bingham fluid ; Micropolar fluid ; Yield stress ; Thermodynamics
• 刊名：Journal of Non-Newtonian Fluid Mechanics
• 出版年：2016
• 出版时间：December 2016
• 年：2016
• 卷：238
• 期：Complete
• 页码：16-23
• 全文大小：659 K
• 卷排序：238

文摘

Equations of micropolar fluids are generalized to allow for yield stresses. There are two yield stresses related to the Cauchy stress tensor and to the couple stress tensor; the first is not symmetric one. The equations derived take into account variable concentration of polar particles. Conservation laws and constitutive equations agree with basic thermodynamic principles. Among the constitutive equations is the generalized Fick law stating that the concentration flux can depend on micro-gyration. Starting from the steady flow equations, we confirm the Segre–Silberberg effect.