In the case of steady shear, a viscoelastic ﬂuid produces a streamwise elastic stress, creating a positive (ﬁrst) normal stress difference. 2 The primary (azimuthal) ﬂow in spherical Couette ﬂow is a type of of circular viscometric 3 ﬂow.
Turbulent Elasticity of the Solar Convective Zone and the Taylor Number Puzzle
A viscometric ﬂow is a simple shear ﬂow so that the relative-right Cauchy-Green tensor can be written as the sum of the unit tensor and the ﬁrst and second Rivlin-Eriksen tensors.
Turbulent Elasticity of the Solar Convective Zone and the Taylor Number Puzzle
It is the normal stress difference N1 (due to the elastic streamwise tension stress) of a viscoelastic ﬂuid under steady shear that is largely responsible for the secondary ﬂow reversal in viscometric ﬂows such as our laboratory example.
Turbulent Elasticity of the Solar Convective Zone and the Taylor Number Puzzle
Ax: Steady shear ﬂows, viscometric ﬂow; 83.80.
Friction and dilatancy in immersed granular matter
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