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STEADY ENTRANCE FLOW IN A STRAIGHT CIRCULAR PIPE WITH SLOWLY VARYING CROSS SECTION
引用本文:Liao Dong-hua, Huang Min(Xi'an Jiaotong Universidy,Xi'an 710049,P. R. China)Kuang Zhen-bang(Shanghai Jiaotong University,Shanghai 200240,P. R. China). STEADY ENTRANCE FLOW IN A STRAIGHT CIRCULAR PIPE WITH SLOWLY VARYING CROSS SECTION[J]. 水动力学研究与进展(B辑), 1999, 0(2)
作者姓名:Liao Dong-hua   Huang Min(Xi'an Jiaotong Universidy  Xi'an 710049  P. R. China)Kuang Zhen-bang(Shanghai Jiaotong University  Shanghai 200240  P. R. China)
作者单位:Liao Dong-hua; Huang Min(Xi'an Jiaotong Universidy,Xi'an 710049,P. R. China)Kuang Zhen-bang(Shanghai Jiaotong University,Shanghai 200240,P. R. China)
摘    要:1.INTRODUCTIONItiswellknownthatmanyvasculardiseasesarecloselyrelatedtothebloodflowinves-sels[1-3j.Thebloodflowthroughthearterieswithvaryingcrosssectionhasheldthein-terestsofmanyinvestigatorsforalongtimeL4-6j.Inthepreviousstudies,thebloodf1owinarterieswas,however,assumedtobefullydeveloped.Sincestenosesfrequentlydevelopatsitesneartheoriginofbranches[2-3j,whichareintheentranceregion,itisimportanttostudytheentranceflowinaconverging-divergingpipe,whichisamodelofentrancestenosis-Manyinvestigat…


STEADY ENTRANCE FLOW IN A STRAIGHT CIRCULAR PIPE WITH SLOWLY VARYING CROSS SECTION
Abstract:A pertubation method for the steady entrance flow through a convergingdiverging pipe, which can model an arterial stenosis at the initial stage, is presented. Aset of formulas for velocity, pressure and wall shear stress distributions are obtained. Results show that the flow patterns of entrance flow are considerably different from those ofdeveloped flow in a converging-diverging pipe: the velocity distribution at the stenosis issmoother, the centerline velocity decreases, and the wall shear stress and pressure gradient increase in the entrance region. The length of entrance flow for the pipe is slighty lower than that for a straight one with constant cross section. The results are checked by thefinite difference method.
Keywords:circular pipe   stenosis   developing flow   developed flow   perturbation method
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