?url_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rft.title=Mathematical+models+of+bubble+evolution+in+a+Hele-Shaw+Cell&rft.creator=Dallaston%2C+Michael+C.&rft.subject=Hele-Shaw&rft.subject=free+boundary+problem&rft.subject=Saffman-Taylor+instability&rft.subject=kinetic+undercooling&rft.subject=bubble+extinction&rft.subject=ODTA&rft.description=This+thesis+concerns+the+mathematical+model+of+moving+fluid+interfaces+in+a+Hele-Shaw+cell%3A+an+experimental+device+in+which+fluid+flow+is+studied+by+sandwiching+the+fluid+between+two+closely+separated+plates.++Analytic+and+numerical+methods+are+developed+to+gain+new+insights+into+interfacial+stability+and+bubble+evolution%2C+and+the+influence+of+different+boundary+effects+is+examined.%0D%0A%0D%0AIn+particular%2C+the+properties+of+the+velocity-dependent+kinetic+undercooling+boundary+condition+are+analysed%2C+with+regard+to+the+selection+of+only+discrete+possible+shapes+of+travelling+fingers+of+fluid%2C+the+formation+of+corners+on+the+interface%2C+and+the+interaction+of+kinetic+undercooling+with+the+better+known+effect+of+surface+tension.++Explicit+solutions+to+the+problem+of+an+expanding+or+contracting+ring+of+fluid+are+also+developed.&rft.publisher=Queensland+University+of+Technology&rft.date=2013&rft.type=Thesis&rft.format=application%2Fpdf&rft.relation=https%3A%2F%2Feprints.qut.edu.au%2F63701%2F1%2FMichael_Dallaston_Thesis.pdf&rft.rights=free_to_read&rft.relation=Dallaston%2C+Michael+C.+(2013)+Mathematical+models+of+bubble+evolution+in+a+Hele-Shaw+Cell.+PhD+by+Publication%2C+Queensland+University+of+Technology.&rft.id_number=https%3A%2F%2Feprints.qut.edu.au%2F63701%2F&rft.identifier=Science+%26+Engineering+Faculty%3B+School+of+Mathematical+Sciences