Hydraulic-jump behavior of a thin film flowing down an inclined plane under an electrostatic field |
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Authors: | Kwang Seok Kim Hyo Kim |
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Affiliation: | (1) Otto H. York Department of Chemical Engineering, New Jersey Institute of Technology, University Heights, Newark, NJ 07102, USA;(2) Department of Chemical Engineering, University of Seoul, 90 Jeonnong-dong, Dongdaemun-gu, Seoul, 130-743, Korea |
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Abstract: | The hydraulic-jump phenomenon of a thin fluid layer flowing down an inclined plane under an electrostatic field is explored
by using a global bifurcation theory. First, the existence of hydraulic-hump wave has been found from heteroclinic trajectories
of an associated ordinary differential equation. Then, the jump behavior has been characterized by introducing an intensity
function on the variations of Reynolds number and surfave-wave speed. Finally, we have investigated the nonlinear stability
of traveling shock waves triggered from a hydraulic jump by integrating the initial-value problem directly. At a given wave
speed there exists a certain value of Reynolds number beyond which a time-dependent buckling of the free surface appears.
Like the other wave motions such as periodic and pulse-like solitary waves, the hydraulic-jump waves are also found to become
more unstable as the electrostatic field is getting stronger. |
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Keywords: | Hydraulic Jump Electrostatic Field Global Bifurcation Theory Heteroclinic Trajectory |
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