{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,10]],"date-time":"2026-01-10T00:30:06Z","timestamp":1768005006958,"version":"3.49.0"},"reference-count":42,"publisher":"Wiley","license":[{"start":{"date-parts":[[2016,1,1]],"date-time":"2016-01-01T00:00:00Z","timestamp":1451606400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"National Institute of Health (NIH)","award":["R03EB014860"],"award-info":[{"award-number":["R03EB014860"]}]},{"name":"Center of Computational Research (CCR) of University at Buffalo","award":["R03EB014860"],"award-info":[{"award-number":["R03EB014860"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Computational and Mathematical Methods in Medicine"],"published-print":{"date-parts":[[2016]]},"abstract":"<jats:p>The effects of Reynolds and Womersley numbers on the hemodynamics of two simplified intracranial aneurysms (IAs), that is, sidewall and bifurcation IAs, and a patient-specific IA are investigated using computational fluid dynamics. For this purpose, we carried out three numerical experiments for each IA with various Reynolds (<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M1\"><mml:mi mathvariant=\"normal\">R<\/mml:mi><mml:mi mathvariant=\"normal\">e<\/mml:mi><mml:mo>=<\/mml:mo><mml:mn mathvariant=\"normal\">145.45<\/mml:mn><\/mml:math>to<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M2\"><mml:mrow><mml:mn mathvariant=\"normal\">378.79<\/mml:mn><\/mml:mrow><\/mml:math>) and Womersley (<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M3\"><mml:mi mathvariant=\"normal\">W<\/mml:mi><mml:mi mathvariant=\"normal\">o<\/mml:mi><mml:mo>=<\/mml:mo><mml:mn mathvariant=\"normal\">7.4<\/mml:mn><\/mml:math>to<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M4\"><mml:mrow><mml:mn mathvariant=\"normal\">9.96<\/mml:mn><\/mml:mrow><\/mml:math>) numbers. Although the dominant flow feature, which is the vortex ring formation, is similar for all test cases here, the propagation of the vortex ring is controlled by both<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M5\"><mml:mi mathvariant=\"normal\">R<\/mml:mi><mml:mi mathvariant=\"normal\">e<\/mml:mi><\/mml:math>and<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M6\"><mml:mi mathvariant=\"normal\">W<\/mml:mi><mml:mi mathvariant=\"normal\">o<\/mml:mi><\/mml:math>in both simplified IAs (bifurcation and sidewall) and the patient-specific IA. The location of the vortex ring in all tested IAs is shown to be proportional to<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M7\"><mml:mi mathvariant=\"normal\">R<\/mml:mi><mml:mi mathvariant=\"normal\">e<\/mml:mi><mml:mo>\/<\/mml:mo><mml:mi mathvariant=\"normal\">W<\/mml:mi><mml:msup><mml:mrow><mml:mi mathvariant=\"normal\">o<\/mml:mi><\/mml:mrow><mml:mrow><mml:mn mathvariant=\"normal\">2<\/mml:mn><\/mml:mrow><\/mml:msup><\/mml:math>which is in agreement with empirical formulations for the location of a vortex ring in a tank. In sidewall IAs, the oscillatory shear index is shown to increase with<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M8\"><mml:mi mathvariant=\"normal\">W<\/mml:mi><mml:mi mathvariant=\"normal\">o<\/mml:mi><\/mml:math>and<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M9\"><mml:mn mathvariant=\"normal\">1<\/mml:mn><mml:mo>\/<\/mml:mo><mml:mi mathvariant=\"normal\">R<\/mml:mi><mml:mi mathvariant=\"normal\">e<\/mml:mi><\/mml:math>because the vortex reached the distal wall later in the cycle (higher resident time). However, this trend was not observed in the bifurcation IA because the stresses were dominated by particle trapping structures, which were absent at low<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M10\"><mml:mi mathvariant=\"normal\">R<\/mml:mi><mml:mi mathvariant=\"normal\">e<\/mml:mi><mml:mo>=<\/mml:mo><mml:mn mathvariant=\"normal\">151.51<\/mml:mn><\/mml:math>in contrast to higher<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M11\"><mml:mi mathvariant=\"normal\">R<\/mml:mi><mml:mi mathvariant=\"normal\">e<\/mml:mi><mml:mo>=<\/mml:mo><mml:mn mathvariant=\"normal\">378.79<\/mml:mn><\/mml:math>.<\/jats:p>","DOI":"10.1155\/2016\/7412926","type":"journal-article","created":{"date-parts":[[2016,10,26]],"date-time":"2016-10-26T17:03:49Z","timestamp":1477501429000},"page":"1-16","source":"Crossref","is-referenced-by-count":37,"title":["Effects of Reynolds and Womersley Numbers on the Hemodynamics of Intracranial 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