The interaction of periodic surface gravity waves with slowly varying water currents

Simple item page
dc.contributor.advisorBrundrit, Geoffen_ZA
dc.contributor.authorBleach, Gordon Phillipen_ZA
dc.date.accessioned2014-12-11T21:02:32Z
dc.date.available2014-12-11T21:02:32Z
dc.date.issued1982en_ZA
dc.descriptionIncludes bibliography.en_ZA
dc.description.abstractThe governing equations for interactions between surface gravity wavetrains and slowly-varying water currents are derived and the incorporation of Vocoidal water wave theory into this framework is discussed. The emphasis throughout is on the derivation of the general form of the governing equations plus a detailed discussion of the qualitative physical behaviour implied by the equations. Particular solutions are usually given only where they serve to clarify the general method or some physical feature of the analysis. The thesis proper is introduced by a derivation of wave kinematics on still water. A review of the kinematics and dynamics of an inviscid and irrotational fluid follows. The wave and fluid properties are then combined via the definition of wave integral properties. A derivation of the Airy and Stokes O(a2) wave theories is given and used to illustrate a number of points. Water currents (following or opposing the waves) are introduced via their influence on the wave-kinematics. The wave/current dynamics are then presented in two ways: firstly using a wave energy approach and secondly by introducing the wave action concept. Wave action is more convenient because it is a conserved quantity unlike wave energy. The general equations for two dimensional wave/current interactions are derived and discussed. At this point three topics are reconsidered: group velocity, momentum density in wave motion and Lagrangian mean forms of averaging. The general equations for wave/current interaction are shown to be compatible with the Vocoidal water wave theory and applications of the theory to wave/current problems are discussed.en_ZA
dc.identifier.apacitationBleach, G. P. (1982). <i>The interaction of periodic surface gravity waves with slowly varying water currents</i>. (Thesis). University of Cape Town ,Faculty of Science ,Department of Oceanography. Retrieved from http://hdl.handle.net/11427/9972en_ZA
dc.identifier.chicagocitationBleach, Gordon Phillip. <i>"The interaction of periodic surface gravity waves with slowly varying water currents."</i> Thesis., University of Cape Town ,Faculty of Science ,Department of Oceanography, 1982. http://hdl.handle.net/11427/9972en_ZA
dc.identifier.citationBleach, G. 1982. The interaction of periodic surface gravity waves with slowly varying water currents. University of Cape Town.en_ZA
dc.identifier.ris TY - Thesis / Dissertation AU - Bleach, Gordon Phillip AB - The governing equations for interactions between surface gravity wavetrains and slowly-varying water currents are derived and the incorporation of Vocoidal water wave theory into this framework is discussed. The emphasis throughout is on the derivation of the general form of the governing equations plus a detailed discussion of the qualitative physical behaviour implied by the equations. Particular solutions are usually given only where they serve to clarify the general method or some physical feature of the analysis. The thesis proper is introduced by a derivation of wave kinematics on still water. A review of the kinematics and dynamics of an inviscid and irrotational fluid follows. The wave and fluid properties are then combined via the definition of wave integral properties. A derivation of the Airy and Stokes O(a2) wave theories is given and used to illustrate a number of points. Water currents (following or opposing the waves) are introduced via their influence on the wave-kinematics. The wave/current dynamics are then presented in two ways: firstly using a wave energy approach and secondly by introducing the wave action concept. Wave action is more convenient because it is a conserved quantity unlike wave energy. The general equations for two dimensional wave/current interactions are derived and discussed. At this point three topics are reconsidered: group velocity, momentum density in wave motion and Lagrangian mean forms of averaging. The general equations for wave/current interaction are shown to be compatible with the Vocoidal water wave theory and applications of the theory to wave/current problems are discussed. DA - 1982 DB - OpenUCT DP - University of Cape Town LK - https://open.uct.ac.za PB - University of Cape Town PY - 1982 T1 - The interaction of periodic surface gravity waves with slowly varying water currents TI - The interaction of periodic surface gravity waves with slowly varying water currents UR - http://hdl.handle.net/11427/9972 ER - en_ZA
dc.identifier.urihttp://hdl.handle.net/11427/9972
dc.identifier.vancouvercitationBleach GP. The interaction of periodic surface gravity waves with slowly varying water currents. [Thesis]. University of Cape Town ,Faculty of Science ,Department of Oceanography, 1982 [cited yyyy month dd]. Available from: http://hdl.handle.net/11427/9972en_ZA
dc.language.isoengen_ZA
dc.publisher.departmentDepartment of Oceanographyen_ZA
dc.publisher.facultyFaculty of Scienceen_ZA
dc.publisher.institutionUniversity of Cape Town
dc.subject.otherApplied Mathematicsen_ZA
dc.titleThe interaction of periodic surface gravity waves with slowly varying water currentsen_ZA
dc.typeMaster Thesis
dc.type.qualificationlevelMasters
dc.type.qualificationnameMScen_ZA
uct.type.filetypeText
uct.type.filetypeImage
uct.type.publicationResearchen_ZA
uct.type.resourceThesisen_ZA
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
thesis_sci_1982_bleach_gp.pdf
Size:
3.63 MB
Format:
Adobe Portable Document Format
Description:
Download
Collections
Masters