МАТЕМАТИКА И МАТЕМАТИЧЕСКО ОБРАЗОВАНИЕ, 2009 MATHEMATICS AND EDUCATION IN MATHEMATICS, 2009 Proceedings of the Thirty Eighth Spring Conference of the Union of Bulgarian Mathematicians Borovetz, April 1–5, 2009 DUMPING OF CAPILLARY-GRAVITY WAVES IN A CHANNEL: THE WEDGE DISSIPATION EFFECT
نویسندگان
چکیده
This paper presents first a numerical investigation into a novel class of wave motions in narrow open channels. The distinctive condition on these motions is that: – dissipation in vicinity of contact line is described by De Gennes approach; – the macroscopic lines of contact between the free surface and the sides of the channel move with velocity proportional to cosine of dynamic contact angle; – the effect of the contact angle hysteresis is included; – there are no restriction to the equilibrium contact angle to be close to 90 degrees. We obtain the time evolution of the waves. We investigate influense of the wedge dissipation on the damping rate and frequency of the waves.
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МАТЕМАТИКА И МАТЕМАТИЧЕСКО ОБРАЗОВАНИЕ, 2008 MATHEMATICS AND EDUCATION IN MATHEMATICS, 2008 Proceedings of the Thirty Seventh Spring Conference of the Union of Bulgarian Mathematicians Borovetz, April 2–6, 2008 THE WEDGE DISSIPATION EFFECTS IN SURFACE GRAVITY WAVES IN A CHANNEL
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