1973
DOI: 10.1016/0020-7225(73)90038-4
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Microcontinuum fluid mechanics—A review

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Cited by 663 publications
(334 citation statements)
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“…The theory of thermomicropolar fluids was also developed by Eringen [10] by extending the theory of micropolar fluids. Further, a comprehensive review of the subject including some applications of micropolar fluid mechanics has been given by Ariman et al [11]. They studied the inadequacy of the classical Navier-Stokes theory to describe rheological complex fluids such as liquids crystals, which has led to the development of micro continuum fluid mechanics as an extension of the classical theory.…”
Section: Introductionmentioning
confidence: 99%
“…The theory of thermomicropolar fluids was also developed by Eringen [10] by extending the theory of micropolar fluids. Further, a comprehensive review of the subject including some applications of micropolar fluid mechanics has been given by Ariman et al [11]. They studied the inadequacy of the classical Navier-Stokes theory to describe rheological complex fluids such as liquids crystals, which has led to the development of micro continuum fluid mechanics as an extension of the classical theory.…”
Section: Introductionmentioning
confidence: 99%
“…Assuming that the difference in temperature within the flow is small such that 4 ' T can be expressed as a linear combination of the temperature, we expand 4 ' T in Taylor's series about 4 ' T  as follows:…”
Section: Formulation Of the Problemmentioning
confidence: 99%
“…Such applications include polymeric fluids, real fluids with suspensions, liquid crystal, animal blood, and exotic lubricants. Extensive reviews of theory ofmicropolar fluids and its applications can be found in review articles by Ariman et al [4,5] and recent books by Łukaszewicz [6] and Eringen [7].…”
Section: Introductionmentioning
confidence: 99%
“…The generalization is formalized by inclusion of the curvature radius of the velocity fluctuation streamlines R into the set of arguments of the probability distribution, specifying the applied averaging. The closure problem, immanent to any average turbulence description, is solved in the RAT theory in agreement with the methodology applied in formulation of descriptions of micropolar fluids [17][18][19][20]. The methodology connects the generalized forces of the description linearly with the corresponding generalized velocities.…”
Section: The Rat Theorymentioning
confidence: 99%