TY - JOUR
T1 - Non-isothermal spreading of a thin liquid film on an inclined plane
AU - López, P. Gilberto
AU - Bankoff, S. George
AU - Miksis, Michael J.
PY - 1996/10/10
Y1 - 1996/10/10
N2 - A thin layer of liquid advancing over a dry, heated, inclined plate is studied. A lubrication model with contact line motion is derived. The plate is at constant temperature, and the surface Biot number is specified. The steady-state solution is obtained numerically. In addition, the steady-state solution is studied analytically in the neighbourhood of the contact line. A linear stability analysis about the steady state is then performed. The effects of gravity, thermocapillarity and contact line motion are discussed. In particular, we determine a band of unstable wavenumbers, and the maximum growth rate as a function of these parameters.
AB - A thin layer of liquid advancing over a dry, heated, inclined plate is studied. A lubrication model with contact line motion is derived. The plate is at constant temperature, and the surface Biot number is specified. The steady-state solution is obtained numerically. In addition, the steady-state solution is studied analytically in the neighbourhood of the contact line. A linear stability analysis about the steady state is then performed. The effects of gravity, thermocapillarity and contact line motion are discussed. In particular, we determine a band of unstable wavenumbers, and the maximum growth rate as a function of these parameters.
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U2 - 10.1017/S0022112096007914
DO - 10.1017/S0022112096007914
M3 - Article
AN - SCOPUS:0030261193
SN - 0022-1120
VL - 324
SP - 261
EP - 286
JO - Journal of Fluid Mechanics
JF - Journal of Fluid Mechanics
ER -