Unconditional jetting

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 78, Issue 2, 2008, Pages

  Gañán Calvo, Alfonso M ^a  

^a UNIVERSITY OF SEVILLE   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; FLOW RATE; MIXED CONVECTION; PERTURBATION TECHNIQUES; REYNOLDS NUMBER;

AXISYMMETRIC; CAPILLARY NUMBERS; CRITICAL CONDITIONS; CRITICAL VALUES; FLUID PROPERTIES; INERTIA FORCES; JET FLOWS; JET SURFACE; LIQUID FLOW RATES; MARGINAL STABILITY; REYNOLDS; SMALL PERTURBATIONS; SMALL SIZE; SPREADING VELOCITY; SUPER-CRITICAL; WAVE NUMBERS;

JETS;

EID: 49549107544     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.78.026304     Document Type: Article

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30. The complex equation 13 provides six scalar equations from its real and imaginary terms of order O (1), O (U), and O (U2). Conditions for v-* =0 provide three scalar equations resulting in Im (ω0) =0, Re (ω1) =0, and Im (ω1) =0.
31. In the viscosity-dominated flow, the perturbed equations for both the pressure and the velocity are independent of the steady, first-order velocities (the convective term, the one responsible for a possible coupling between first order and perturbation, is absent). In the inertia-dominated flow considered here, since the basic velocity profiles are homogeneous, they enter the analysis only through the constant parameter U= U2/U1.