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A simple model for drag reduction

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arxiv cond-mat/0210523 v1 pith:5MGXT6ZL submitted 2002-10-23 cond-mat.stat-mech nlin.CD

A simple model for drag reduction

classification cond-mat.stat-mech nlin.CD
keywords modelreductiondragsimplefene-pfixedphenomenonthroughput
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Direct Numerical Simulations established that the FENE-P model of viscoelastic flows exhibits the phenomenon of turbulent drag reduction which is caused in experiments by dilute polymeric additives. To gain analytic understanding of the phenomenon we introduce in this Letter a simple 1-dimensional model of the FENE-P equations. We demonstrate drag reduction in the simple model, and explain analytically the main observations which include (i) reduction of velocity gradients for fixed throughput and (ii) increase of throughput for fixed dissipation.

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