TY - JOUR
T1 - Interfacial collocation equations of thin liquid film
T2 - Stability analysis
AU - Brauner, Neima
AU - Maron, David Moalem
AU - Zijl, Wout
PY - 1987
Y1 - 1987
N2 - The governing equations for mass continuity and liquid motion in thin-film flow are presented in terms of the parameters at the free interface, the so-called collocation line. Stability analyses in both temporal and spatial formulations are carried out on the interfacial collocation equations and result in simple algebraic equations, which relate the wave characteristics at inception to the Weber and Reynolds numbers of the flow. Also, analytical assymptotic solutions are derived. The results obtained for temporal and spatial formulations and for stationary waves are discussed and compared with previous theoretical and experimental studies.
AB - The governing equations for mass continuity and liquid motion in thin-film flow are presented in terms of the parameters at the free interface, the so-called collocation line. Stability analyses in both temporal and spatial formulations are carried out on the interfacial collocation equations and result in simple algebraic equations, which relate the wave characteristics at inception to the Weber and Reynolds numbers of the flow. Also, analytical assymptotic solutions are derived. The results obtained for temporal and spatial formulations and for stationary waves are discussed and compared with previous theoretical and experimental studies.
UR - http://www.scopus.com/inward/record.url?scp=0023175419&partnerID=8YFLogxK
U2 - 10.1016/0009-2509(87)80148-3
DO - 10.1016/0009-2509(87)80148-3
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AN - SCOPUS:0023175419
SN - 0009-2509
VL - 42
SP - 2025
EP - 2035
JO - Chemical Engineering Science
JF - Chemical Engineering Science
IS - 8
ER -