Journal ArticleDOI
Generalized couette flow of a dipolar fluid between two parallel plates
M. Emin Erdogan,Ihsan T. Gürgöze +1 more
TLDR
In this paper, a solution du problem de l'ecoulement d'un fluide dipolaire entre deux plaques paralleles, dont l'une est en mouvement et l'autre fixe, en presence of a gradient de pression is presented.Abstract:
Dans ce travail, on presente une solution du probleme de l'ecoulement d'un fluide dipolaire entre deux plaques paralleles, dont l'une est en mouvement et l'autre fixe, en presence d'un gradient de pression. On trouve qu'il n'y a pas d'effet dipolaire sur l'ecoulement si le gradient de pression n'est pas applique, et que pour un fluide dipolaire avec λ=0, λ etant le rapport entre l'espace des deux plaques et la constante dipolaire du fluide, le profil de vitesse n'est pas affecte par le gradient de pression.read more
Citations
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Journal ArticleDOI
Applications of microcontinuum fluid mechanics
TL;DR: The published applications of these microfluid theories to real and ideal flow problems have been reviewed briefly and these short reviews are presented in tabular form for easy reference.
Journal ArticleDOI
On the unsteady unidirectional flows generated by impulsive motion of a boundary or sudden application of a pressure gradient
TL;DR: In this article, exact solutions of the time-dependent Navier-Stokes equations are discussed for flows impulsively started from rest by the motion of a boundary or two boundaries or by sudden application of a pressure gradient.
Journal ArticleDOI
On some unsteady flows of a non-Newtonian fluid
M. Emin Erdoğan,C. Erdem İmrak +1 more
TL;DR: In this paper, it was shown that the stress at time zero on the stationary boundary for the flows generated by impulsive motion of a boundary or two boundaries is finite for a fluid of second grade and infinite for a Newtonian fluid.
Journal ArticleDOI
On unsteady unidirectional flows of a second grade fluid
M. Emin Erdogˇan,C. Erdem İmrak +1 more
TL;DR: In this article, the authors compared the properties of unsteady unidirectional flows of a second-grading fluid with those of a Newtonian fluid and showed that the required time to attain the asymptotic value of the velocity is longer than that for a second grade fluid and that the no-slip boundary condition is not sufficient for steady flows so that an additional condition is needed.
References
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Book
Boundary layer theory
TL;DR: The flow laws of the actual flows at high Reynolds numbers differ considerably from those of the laminar flows treated in the preceding part, denoted as turbulence as discussed by the authors, and the actual flow is very different from that of the Poiseuille flow.
Journal ArticleDOI
Couple Stresses in Fluids
Vijay K. Stokes,Vijay K. Stokes +1 more
TL;DR: The effects of couple stresses in fluids are considered in this paper, where a series of boundary value problems are solved to indicate the effects of the couple stresses as well as for experiments measuring the various material constants.
Book ChapterDOI
Multipolar continuum mechanics
A. E. Green,Ronald S. Rivlin +1 more
TL;DR: A general theory of multipolar displacement and velocity fields with corresponding multipolar body and surface forces and multipolar stresses is developed using an energy principle, an entropy production inequality and invariance conditions under superposed rigid body motions as mentioned in this paper.
Journal ArticleDOI
Simple force and stress multipoles
A. E. Green,Ronald S. Rivlin +1 more
TL;DR: Mindlin and Tiersten as mentioned in this paper derived a constitutive equation for finite deformation in which it is assumed that a strain energy function exists for the material which depends only on the first and second order deformation gradients.
Journal ArticleDOI
Couple Stresses in Fluids
Teoman Ariman,Ahmet S. Cakmak +1 more
TL;DR: In this article, applications of couple stress and micropolar theories to the problems of Couette and Poiseuille flows between two parallel plates are discussed and the results are compared.