Stokes' first problem for micropolar fluids Academic Article uri icon

abstract

  • The flow induced in a quiescent micropolar fluid by a doubly infinite plate accelerated suddenly from rest to a constant velocity is investigated in the present paper. The local balance equations according to Eringen's model are non-dimensionalized and solved in the Laplace transform domain. The Laplace transforms for velocity and microrotation are then inverted in some special cases analytically and in the general case numerically, by applying the Valk-Abate procedure. Comparing to the monotonically decaying error-function velocity profile of the Newtonian case, in a micropolar fluid also non-monotonic behavior with backflow may occur. In the case of microrotation, in addition to the monotonic decay, some special features, such as the inversion and overshoot phenomena, have been found. 2010 The Japan Society of Fluid Mechanics and IOP Publishing Ltd.

published proceedings

  • FLUID DYNAMICS RESEARCH

author list (cited authors)

  • Magyari, E., Pop, I., & Valko, P. P.

citation count

  • 9

complete list of authors

  • Magyari, Eugen||Pop, Ioan||Valko, Peter P

publication date

  • April 2010