Viscous flow over outflow slits covered by an anisotropic Brinkman medium: A model of flow above interendothelial cell clefts

Viscous flow over outflow slits covered by an anisotropic Brinkman medium: A model of flow above interendothelial cell clefts
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各向异性 Brinkman 介质覆盖的流出狭缝上的粘性流:内皮细胞裂隙上方的流动模型

DOI:
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发表时间:
2008
期刊:
影响因子:
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通讯作者:
P. Weinberg
P. Weinberg
中科院分区:
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文献类型:
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作者:
P. Vincent;S. Sherwin;P. Weinberg

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给出了粘性流体在具有各向异性达西渗透率的Brinkman介质覆盖的无限缝隙上剪切驱动流动的解析级数解。当通过血管内皮细胞的透壁水流量仅允许通过内皮细胞间隙时,该溶液被用来模拟细胞尺度的水在血管内皮细胞上和内部的流动。结果表明,糖唇性质和外加剪切率(由血管鳞片流体动力学施加)对速度场的几个相关测量指标的影响,包括壁法向速度和在糖唇管腔表面估算的剪切率。
An analytic series solution is presented for the shear driven flow of a viscous fluid over an infinite series of outflow slits covered by a Brinkman medium with an anisotropic Darcy permeability. The solution is used to model the cellular scale flow of water over and within the endothelial glycocalyx, when the transmural water flux through the vascular endothelium is only allowed to pass via interendothelial cell clefts. Results are presented illustrating the effect of both the glycocalyx properties and the applied shearing rate (imposed by vascular scale fluid dynamics) on several relevant measures of the velocity field, including the wall normal velocity and the shear rate evaluated at the luminal surface of the glycocalyx.
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