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Lopsided elastic dumbbell suspension
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We derive the constitutive equation for a suspension of lopsided Hookean dumbbells. By lopsided, we mean that one bead is larger than the other. We find that all results derived for symmetric Hookean dumbbells can be taken over for lopsided ones by replacing 2/ζ with 1/ζ1+1/ζ2, where ζ and ζ1 and ζ2 are the bead friction coefficients for the symmetric dumbbell beads and for the first and second beads of the lopsided dumbbell, respectively.
Title: Lopsided elastic dumbbell suspension
Description:
We derive the constitutive equation for a suspension of lopsided Hookean dumbbells.
By lopsided, we mean that one bead is larger than the other.
We find that all results derived for symmetric Hookean dumbbells can be taken over for lopsided ones by replacing 2/ζ with 1/ζ1+1/ζ2, where ζ and ζ1 and ζ2 are the bead friction coefficients for the symmetric dumbbell beads and for the first and second beads of the lopsided dumbbell, respectively.
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