caa a22 4500 477077404 CHVBK 20180405111442.0 cr unu---uuuuu 170330e19960301xx s 000 0 eng 10.1007/BF00118829 doi (NATIONALLICENCE)springer-10.1007/BF00118829 The Lorentz reciprocal theorem for micropolar fluids [Elektronische Daten] [Howard Brenner, Ali Nadim] A generalization of the Lorentz reciprocal theorem is developed for the creeping flow of micropolar fluids in which the continuum equations involve both the velocity and the internal spin vector fields. In this case, the stress tensor is generally not symmetric and conservation laws for both linear and angular momentum are needed in order to describe the dynamics of the fluid continuum. This necessitates the introduction of constitutive equations for the antisymmetric part of the stress tensor and the so-called couple-stress in the medium as well. The reciprocal theorem, derived herein in the limit of negligible inertia and without external body forces and couples, provides a general integral relationship between the velocity, spin, stress and couple-stress fields of two otherwise unrelated micropolar flow fields occurring in the same fluid domain. Kluwer Academic Publishers, 1996 Brenner Howard Department of Chemical Engineering, Mass. Inst. of Tech., 02139, Cambridge, MA, U.S.A. aut Nadim Ali Department of Aerospace and Mechanical Engineering, Boston University, 02215, Boston, MA, U.S.A. aut Journal of Engineering Mathematics Kluwer Academic Publishers; http://www.wkap.nl 30/1-2(1996-03-01), 169-176 0022-0833 30:1-2<169 1996 30 10665 https://doi.org/10.1007/BF00118829 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00118829 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Brenner Howard Department of Chemical Engineering, Mass. Inst. of Tech., 02139, Cambridge, MA, U.S.A aut NATIONALLICENCE 700 1- Nadim Ali Department of Aerospace and Mechanical Engineering, Boston University, 02215, Boston, MA, U.S.A aut NATIONALLICENCE 773 0- Journal of Engineering Mathematics Kluwer Academic Publishers; http://www.wkap.nl 30/1-2(1996-03-01), 169-176 0022-0833 30:1-2<169 1996 30 10665 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer