Abstract Present study concerns the solute dispersion analysis in a two-fluid model of blood flow through tubes with a thin porous layer near the absorbing wall. A thin porous layer near the wall represents an endothelial glycocalyx layer the composition of which may be attributed to the accumulation of carbohydrates, absorbed plasma proteins and macromolecules in a layer at the wall that affects the plasma flow (Secomb et al., 1998. A model for red blood cell motion in glycocalyx-lined capillaries. Am. J. Physiol. 274 (Heart Circ. Physiol. 43), H1016-H1022; Pries et al., 2000. The endothelial surface layer. Eur. J. Physiol. 440, 653–666). Two-fluid model for blood flow is considered in which the central region of the blood vessel is occupied by Herschel-Bulkley fluid with variable viscosity and a peripheral region of plasma surrounded over the central region is occupied by a Newtonian fluid with constant viscosity. Governing equations are solved analytically for all the regions (central, intermediate and porous regions) and the approach of Sankarasubramanian and Gill (Sankarasubramanian, R, Gill, W N, 1973. Unsteady convective diffusion with interphase mass transfer. Proc. R. Soc. London Ser. A 333, 115–132) is followed to solve the diffusion equation by series expansion method. The impact of porous layer (and hence the porous layer parameters), varying viscosity, plasma layer and wall absorption parameters on the diffusion process like convective, dispersion and mean concentration have been analyzed. A comparative investigation of solute dispersion between Newtonian and non-Newtonian fluids has also been discussed. It is perceived that the presence of such a layer reduces the convective and axial dispersion for a highly reactive wall. A remarkable observation is that a reduced porosity near the wall contributes towards reduced average concentration of the solvent. The analysis of the porous layer inside the arterial wall may be used to understand the diffusion process for flow through arteries with a deposition of a porous layer near the absorbing wall.

中文翻译：

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两种流体在靠近吸收壁的多孔层管中流动的溶质分散：微血管中分散现象的模型

摘要 目前的研究涉及血液流经管的双流体模型中的溶质扩散分析，在吸收壁附近具有薄多孔层。靠近壁的薄多孔层代表内皮糖萼层，其组成可能归因于碳水化合物、吸收的血浆蛋白和大分子在壁层中的积累，影响血浆流量（Secomb et al., 1998. A糖萼衬里毛细血管中红细胞运动的模型。Am. J. Physiol. 274（Heart Circ. Physiol. 43），H1016-H1022；Pries 等人，2000。内皮表面层。Eur. J. Physiol。 440, 653–666)。考虑血流的双流体模型，其中血管的中心区域被具有可变粘度的 Herschel-Bulkley 流体占据，并且围绕中心区域的血浆的外围区域被具有恒定粘度的牛顿流体占据。对所有区域（中央、中间和多孔区域）以及 Sankarasubramanian 和 Gill 的方法（Sankarasubramanian, R, Gill, WN, 1973. 非稳态对流扩散与相间传质。Proc. R. Soc. London）的控制方程进行了解析求解Ser. A 333, 115–132) 接着用级数展开法求解扩散方程。多孔层（以及多孔层参数）、不同的粘度、等离子体层和壁吸收参数对扩散过程（如对流、分析了分散度和平均浓度。还讨论了牛顿流体和非牛顿流体之间溶质分散的比较研究。人们认为，这种层的存在减少了高反应性壁的对流和轴向分散。一个显着的观察结果是，壁附近孔隙率的降低有助于降低溶剂的平均浓度。动脉壁内多孔层的分析可用于理解流经动脉的扩散过程，在吸收壁附近沉积多孔层。人们认为，这种层的存在减少了高反应性壁的对流和轴向分散。一个显着的观察结果是，壁附近孔隙率的降低有助于降低溶剂的平均浓度。动脉壁内多孔层的分析可用于理解流经动脉的扩散过程，在吸收壁附近沉积多孔层。人们认为，这种层的存在减少了高反应性壁的对流和轴向分散。一个显着的观察结果是，壁附近孔隙率的降低有助于降低溶剂的平均浓度。动脉壁内多孔层的分析可用于理解流经动脉的扩散过程，在吸收壁附近沉积多孔层。