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
نویسندگان
چکیده
We study the dynamics of two-dimensional surface gravity waves of fluid in a channel. The viscous dissipation in the bulk of the fluid is assumed to be negligible by comparing with the dissipation in the vicinity of the contact line. Capillarity effects are not considered. Dissipation in the vicinity of the contact line is described by contact line dissipation model suggested in de Ruijter et al. (Langmuir 15 (1999), 2209) who introduces a phenomenological dissipation term proportional to the contact line length. We obtain numerically the time evolution of the fluid interfase. We compare dynamics of the waves, triple contact line and contact angle with solution for standing waves.
منابع مشابه
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
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...
متن کاملМАТЕМАТИКА И МАТЕМАТИЧЕСКО ОБРАЗОВАНИЕ, 2003 MATHEMATICS AND EDUCATION IN MATHEMATICS, 2003 Proceedings of the Thirty Second Spring Conference of the Union of Bulgarian Mathematicians Sunny Beach, April 5–8, 2003 TEMPORAL INTUITIONISTIC FUZZY SETS (REVIEW AND NEW RESULTS)
متن کامل
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 CLASSIFICATION OF THE 2-SPREADS OF PG(5, 2)
1.1 Projective spaces and spreads. A projective space is a geometry consisting of a set of points and a set of lines, where each line is a subset of the point set, such that the following axioms hold: • Any two points are on exactly one line. • Let A, B, C, D be four distinct points no three of which are collinear. If the lines AB and CD intersect each other, then the lines AD and BC also inter...
متن کاملMATHEMATICS AND EDUCATION IN MATHEMATICS, 2001 Proceedings of Thirtieth Spring Conference of the Union of Bulgarian Mathematicians Borovets, April 8–11, 2001 NEW SYSTEMATIC QUASI-CYCLIC CODES OVER GF (9) IN DIMENSIONS 7 AND 8
Let [n, k, d]q-codes be linear codes of length n, dimension k and minimum Hamming distance d over GF (q). In this paper, the existence of the next recordbreaking codes [35, 7, 23]9, [42, 7, 29]9, [49, 7, 34]9, [56, 7, 40]9, [63, 7, 46]9, [98, 7, 75]9, [105, 7, 81]9, [112, 7, 87]9, [119, 7, 93]9, [126, 7, 99]9, [133, 7, 105]9, [48, 8, 32]9, [56, 8, 39]9, [104, 8, 78]9, [112, 8, 85]9, [120, 8, 91...
متن کاملWhat ain’t mathematics education?!
Abstract: In 1996 at the first Iranian Mathematics Education Conference (IMEC1) that was held in Isfahan. I obliged myself as a mathematics educator, to inform the mathematics community at large by presenting a paper entitled “what is mathematics education?” to pave the way for the establishment of the master program of mathematics education in Iran. Now, after 16 years, we need to reflect on t...
متن کامل