Transient growth without inertia

Physics of Fluids

Volumn 22, Issue 2, 2010, Pages 1-19

  Jovanović, Mihailo R ^a   Kumar, Satish ^a  

^a University of Minnesota   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

KINETIC ENERGY; KINETICS; NEWTONIAN LIQUIDS; POLYMERS; REYNOLDS NUMBER; SHEAR FLOW; TENSORS; TRANSIENT ANALYSIS; VISCOELASTICITY;

COUETTE AND POISEUILLE FLOWS; INITIAL CONDITIONS; KINETIC ENERGY DENSITY; POLYMER STRESS TENSOR; POLYMER STRETCHING; STREAM-WISE VELOCITIES; VELOCITY FLUCTUATIONS; VIS-COELASTIC FLUIDS;

FLOW OF FLUIDS;

EID: 77949311003     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3299324     Document Type: Article

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51. This is an immediate consequence of the continuity equation and Eq. ; for fluctuations with kx=kz=0, the wall-normal velocity is identically equal to zero, while u and w, respectively, depend on 12 and 23. Thus, the presence of initial conditions in 22 yields zero initial kinetic energy.