MARC Record from marc_columbia

LEADER: 07202cam a2200373 a 4500
001 7992907
005 20221201051550.0
008 100107s2010 nyua b 001 0 eng
010 $a 2010000473
020 $a9780521811903 (hardback)
020 $a0521811902 (hardback)
024 $a40018273855
035 $a(OCoLC)ocn501510339
035 $a(OCoLC)501510339
035 $a(NNC)7992907
035 $a7992907
040 $aDLC$cDLC$dYDX$dBWK$dYDXCP$dOrLoB-B
050 00 $aTA357$b.V357 2010
082 00 $a620.1/06$222
100 1 $aVanden-Broeck, J.-M.$q(Jean-Marc)$0http://id.loc.gov/authorities/names/no2002081736
245 10 $aGravity-capillary free-surface flows /$cJean-Marc Vanden-Broeck.
260 $aNew York :$bCambridge University Press,$c2010.
300 $axi, 318 pages :$billustrations ;$c26 cm.
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
490 1 $aCambridge monographs on mechanics
504 $aIncludes bibliographical references and index.
505 00 $g1.$tIntroduction -- $g2.$tBasic concepts -- $g2.1.$tThe equations of fluid mechanics -- $g2.2.$tFree-surface flows -- $g2.3.$tTwo-dimensional flows -- $g2.4.$tLinear waves -- $g2.4.1.$tThe water-wave equations -- $g2.4.2.$tLinear solutions for water waves -- $g2.4.3.$tSuperposition of linear waves -- $g3.$tFree-surface flows that intersect walls -- $g3.1.$tFree streamline solutions -- $g3.1.1.$tForced separation -- $g3.1.2.$tFree separation -- $g3.2.$tThe effects of surface tension -- $g3.2.1.$tForced separation -- $g3.2.2.$tFree separation -- $g3.3.$tThe effects of gravity -- $g3.3.1.$tSolutions with β1 = 0 (funnels) -- $g3.3.2.$tSolutions with β1 = 0 (nozzles and bubbles) -- $g3.3.3.$tSolutions with β1 = π/2 (flow under a gate with gravity) -- $g3.4.$tThe combined effects of gravity and surface tension -- $g3.4.1.$tRising bubbles in a tube -- $g3.4.2.$tFingering in a Hele Shaw cell -- $g3.4.3.$tFurther examples involving rising bubbles -- $g3.4.4.$tExponential asymptotics -- $g4.$tLinear free-surface flows generated by moving disturbances -- $g4.1.$tThe exact nonlinear equations -- $g4.2.$tLinear theory -- $g4.2.1.$tSolutions in water of finite depth -- $g4.2.2.$tSolutions in water of infinite depth -- $g4.2.3.$tdiscussion of the solution -- $g5.$tNonlinear waves-asymptotic solutions -- $g5.1.$tPeriodic waves -- $g5.1.1.$tSolutions when condition (5.55) is satisfied -- $g5.1.2.$tSolutions when condition (55.5) is not satisfied -- $g5.2.$tThe Korteweg-de Vries equation -- $g6.$tNumerical computations of nonlinear water waves -- $g6.1.$tFormulation -- $g6.2.$tSeries truncation method -- $g6.3.$tBoundary integral equation method -- $g6.4.$tNumerical methods for solitary waves -- $g6.4.1.$tBoundary integral equation methods -- $g6.5.$tNumerical results for periodic waves -- $g6.5.1.$tPure capillary waves (g = 0, T is not = 0) -- $g6.5.2.$tPure gravity waves (g is not = 0, T = O) -- $g6.5.3.$tGravity capillary waves (g is not = 0, T is not =0) -- $g6.6.$tNumerical results for solitary waves -- $g6.6.1.$tPure gravity solitary waves -- $g6.6.2.$tGravity capillary solitary waves -- $g7.$tNonlinear free-surface flows generated by nioving disturbances -- $g7.1.$tPure gravity free-surface flows in water of finite depth -- $g7.1.1.$tSupercritical flows -- $g7.1.2.$tSubcritical flows -- $g7.2.$tGravity capillary free-surface flows -- $g7.2.1.$tResults in finite depth -- $g7.2.2.$tResults in infinite depth (removal of the nonuniformity) -- $g7.3.$tGravity capillary free-surface flows with Wilton ripples -- $g8.$tFree-surface flows with waves and intersections with rigid walls -- $g8.1.$tFree-surface flow past, a flat plate -- $g8.1.1.$tNumerical results -- $g8.1.2.$tAnalytical results -- $g8.2.$tFree-surface flow past a surface-piercing object -- $g8.2.1.$tNumerical results -- $g8.2.2.$tAnalytical results -- $g8.3.$tFlow under a sluice gate -- $g8.3.1.$tFormulation -- $g8.3.2.$tNumerical procedure -- $g8.3.3.$tDiscussion of the results -- $g8.4.$tPure capillary free-surface flows -- $g8.4.1.$tNumerical results -- $g8.4.2.$tAnalytical results -- $g9.$tWaves with constant vorticity -- $g9.1.$tSolitary waves with constant vorticity -- $g9.1.1.$tMathematical formulation -- $g9.1.2.$tNumerical procedure -- $g9.1.3.$tDiscussion of the results -- $g9.2.$tPeriodic waves with constant vorticity -- $g9.2.1.$tMathematical formulation -- $g9.2.2.$tNumerical procedure -- $g9.2.3.$tNumerical results -- $g9.2.4.$tDiscussion -- $g10.$tThree-dimensional free-surface flows -- $g10.1.$tGreen's function formulation for two-dimensional problems -- $g10.1.1.$tPressure distribution -- $g10.1.2.$tTwo-dimensional surface-piercing object -- $g10.2.$tExtension to three-dimensional free-surface flows -- $g10.2.1.$tGravity flows generated by moving disturbances in water of infinite depth -- $g10.2.2.$tThree-dimensional gravity-capillary free-surface flows in water of infinite depth -- $g10.3.$tFurther extensions -- $g11.$tTime-dependent free-surface flows -- $g11.1.$tIntroduction -- $g11.2.$tNonlinear gravity-capillary standing waves.
520 1 $a"Free-surface problems occur in many aspects of science and of everyday life, for example in the waves on a beach, bubbles rising in a glass of champagne, melting ice, pouring flows from a container and sails billowing in the wind. Consequently, the theory of gravity£capillary free-surface flows continues to be a fertile field of research in applied mathematics and engineering." "Concentrating on applications arising from fluid dynamics, Vanden-Broeck draws upon his years of experience in the field to address the many challenges involved in attempting to describe such flows mathematically. Whilst careful numerical techniques are implemented to solve the basic equations, an emphasis is placed upon the reader developing a deep understanding of the structure of the resulting solutions. The author also reviews relevant concepts in fluid mechanics to enable readers from other scientific fields to develop a working knowledge of free-boundary problems." "This series was established in 1952 as a medium for the publication of major new works of scholarship on all aspects of theoretical and applied mechanics. From its inception it has maintained a reputation for the publication of outstanding monographs, many of which have later been re-issued in paperback. The series covers such areas as wave propagation, fluid dynamics, theoretical geophysics, combustion and the mechanics of solids. Authors are encouraged to write for a wide audience and to balance mathematical analysis with physical interpretation and experimental data where appropriate. Although the research literature is expected to be a major source for the content of the books, authors should aim to synthesise new results rather than just survey them."--BOOK JACKET.
650 0 $aSurface waves (Oceanography)$xMathematical models.
650 0 $aNonlinear waves$xMathematical models.
650 0 $aFluid mechanics.$0http://id.loc.gov/authorities/subjects/sh85049383
830 0 $aCambridge monographs on mechanics.$0http://id.loc.gov/authorities/names/n94094260
852 00 $boff,eng$hTA357$i.V357 2010