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Fu vz. The invariant I is always zero when the assumption of incompressibility is made For the shear flows discussed in Section 1, both I and III are zero and I I = γ yx 2 = (d v x / d y) 2For the shearfree flows of Section 2, the invariant I is zero, II = (6 2b 2)ɛ̇ 2 and III = (6−6b 2)ɛ̇ 3Another quantity often used is the magnitude of the rate of strain tensor γ = (1 / 2) I. ó X v } Z ï î r v } v Z Æ u o P î ñ ^ µ u u Ç v Æ u o. & v Z À o µ } ( Z } P v o ( µ v } v Z } v B s ;.
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