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Affine invariants of annuli

100%

Cieślak W. , Szczygielska E.

tom 66

nr 1

A family of regular annuli is considered. Affine invariants of annuli are introduced.

On Poncelet’s porism

80%

Cieślak W. , Szczygielska E.

Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica

2010

tom 64

nr 2

We consider circular annuli with Poncelet’s porism property. We prove two identities which imply Chapple’s, Steiner’s and other formulas. All porisms can be expressed in the form in which elliptic functions are not used.

Steady streaming effect on the flow of a couple stress fluid through a constricted annulus

70%

Srinivasacharya D. , Srikanth D.

Archives of Mechanics

2012

tom Vol. 64, nr 2

137-137

The oscillatory flow of an incompressible couple stress fluid through an annulus with mild constriction at the outer wall is considered. The mean pressure drops and the mean wall shear stress are calculated across the constricted region. The steady streaming effect on the flow is presented. The variations in the mean pressure drop and wall shear stress with the size of the catheter, the velocity of the catheter and couple stress fluid parameter, are studied through graphs.