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Theory of Micropolar Fluids [PDF]
Indiana University Mathematics Journal, 1966 Abstract : Equations of motion, constitutive equations and boundary conditions are derived for a class of fluids named micropolar fluids. These fluids respond to micro-rotational motions and spin inertia and therefore can support couple stress and distributed body couples.
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Rayleigh-Benard convection in a micropolar ferromagnetic fluid [PDF]
, 2002 The problem of Rayleigh-Benard convection in a micropolar ferromagnetic fluid layer permeated by a uniform, vertical magnetic field is investigated analytically with free-free, isothermal, spin-vanishing, magnetic boundaries. The influence of the various
Abraham, A.
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A Regularity Criterion for the Magneto-Micropolar Fluid Equations in B˙∞,∞−1
Discrete Dynamics in Nature and Society, 2013 The paper is dedicated to study of the Cauchy problem for the magneto-micropolar fluid equations in three-dimensional spaces. A new logarithmically improved regularity criterion for the magneto-micropolar fluid equations is established in terms of the ...
Zhihao Tang, Gang Wang, Haiwa Guan
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Tribology Online, 2014 In this paper, a theoretical study of the combined effects of viscosity variation and surface roughness on the squeeze film performance of journal bearings lubricated with micropolar fluid is made.
Neminath Bhujappa Naduvinamani +3 more
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Journal of Mechanical Engineering and Sciences, 2022 Micropolar fluid is one type of non-Newtonian fluid which consists of non-deformable spherical particles that suspended in viscous medium. In this paper, the problem of two-dimensional boundary layer flow over a permeable shrinking sheet with time ...
J. G. Tan , Y.Y. Lok , I. Pop
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A control volume-based finite element method for plane micropolar elasticity [PDF]
, 2008 This paper describes the development of a numerical procedure for predicting deformations and stresses in a loaded two-dimensional membrane exhibiting micropolar or Cosserat constitutive behaviour. The procedure employs a conventional finite element (FE)
Wheel, M.A.
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Abstract and Applied Analysis, 2012 This paper is devoted to the regularity criterion of the three-dimensional micropolar fluid equations. Some new regularity criteria in terms of the partial derivative of the pressure in the Lebesgue spaces and the Besov spaces are obtained which improve ...
Yan Jia, Jing Zhang, Bo-Qing Dong
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A regularity criterion for the three-dimensional micropolar fluid system in homogeneous Besov spaces
Electronic Journal of Qualitative Theory of Differential Equations, 2016 By establishing a new trilinear estimate, we show a regularity criterion for the three dimensional micropolar fluid system via the velocity in homogeneous Besov spaces. This improves [B. Q. Dong, Z. L.
Zujin Zhang
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Results in Physics, 2020 The behavior of the pulsatile flow of non-Newtonian micropolar-Casson fluid in a constricted channel influenced by Lorentz force following Darcy's law is examined.
Amjad Ali +3 more
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Note on a Micropolar Gas-Kinetic Theory
, 2002 The micropolar fluid mechanics and its transport coefficients are derived from the linearized Boltzmann equation of rotating particles. In the dilute limit, as expected, transport coefficients relating to microrotation are not important, but the results ...
AC Eringen +14 more
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