简介:Theproblemofwaterwavescatteringbyathinverticalelasticplatesubmergedinuniformfinitedepthwaterisinvestigatedhere.TheboundaryconditionontheelasticplateisderivedfromtheBernoulli-Eulerequationofmotionsatisfiedbytheplate.UsingtheGreen’sfunctiontechnique,fromthisboundarycondition,thenormalvelocityoftheplateisexpressedintermsofthedifferencebetweenthevelocitypotentials(unknown)acrosstheplate.Thetwoendsoftheplateareeitherclampedorfree.Thereflectionandtransmissioncoefficientsareobtainedintermsoftheintegrals’involvingcombinationsoftheunknownvelocitypotentialonthetwosidesoftheplate,whichsatisfythreesimultaneousintegralequationsandaresolvednumerically.Thesecoefficientsarecomputednumericallyforvariousvaluesofdifferentparametersanddepictedgraphicallyagainstthewavenumberinanumberoffigures.
简介:Wavediffractionoftwoconcentricporouscylinderswithvaryingporositywasstudiedbyusingananalyticalmethodbasedoneigenfunctionmatching.Thefluiddomainaroundthecylindersisdividedintothreesub-domainsandineachsub-domainaneigenfunctionexpansionofthevelocitypotentialisobtainedbysatisfyingtheLaplaceequation,theboundaryconditionsonthefreesurfaceandontheseabed.Theunknowncoefficientsofeigenfunctionexpansionsaredeterminedbyboundaryconditionsontheporoushulls.Inthepaper,theboundaryconditionsarebasedupontheassumptionthattheflowintheporousmediumisgovernedbyDarcy’slaw.Twoporous-effectparametersappliedontwoporouscylindersarefunctionsoftheverticalcoordinateinsteadoftheconstant.Waveloadingontheouterandinnercylinderispresentedinthenumericalresults.