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使用计算流体动力学估算与平面相邻的浓度边界层。

Estimation of the concentration boundary layer adjacent to a flat surface using computational fluid dynamics.

机构信息

Department of Pharmacy, Uppsala Biomedical Center, Uppsala University, 751 23 Uppsala, Sweden.

FLOW, Department of Engineering Mechanics, Royal Institute of Technology, KTH, Osquars Backe 18, SE-100 44 Stockholm, Sweden.

出版信息

Int J Pharm. 2024 Mar 25;653:123870. doi: 10.1016/j.ijpharm.2024.123870. Epub 2024 Feb 23.

Abstract

Dissolution-permeation (D/P) experiments are widely used during preclinical development due to producing results with better predictability than traditional monophasic experiments. However, it is difficult to compare absorption across in vitro setups given the propensity to only report apparent permeability. We therefore developed an approach to predict the concentration boundary layer for any D/P device by using computational fluid dynamics (CFD). The Navier-Stokes and continuity equation in 2D were solved numerically in MATLAB and by finite element methods in COMSOL v6.1 to predict the momentum [Formula: see text] and concentration η boundary layer for a flow over a flat plate, i.e. the classical Blasius boundary layer flow. A MATLAB algorithm was developed to calculate the edge of either boundary layer. The methodology to determine the concentration boundary layer based on Blasius's analysis provided an accurate estimate for both [Formula: see text] and η, resulting in, [Formula: see text] , at high Schmidt numbers (Sc ∼ 1000) within 14 % of the Blasius solution and 6.6 % of the accepted Schmidt number correlation ( [Formula: see text] ). The methodology based on the Blasius analysis of the concentration boundary layer using velocity and concentration profiles computed using CFD presented herein will enable characterization/analysis of complex D/P apparatuses used in preclinical development, where an analytical solution may not be available.

摘要

溶解-渗透(D/P)实验在临床前开发中被广泛应用,因为其产生的结果比传统的单相实验更具可预测性。然而,由于倾向于仅报告表观渗透率,因此很难比较不同体外装置的吸收情况。因此,我们开发了一种通过计算流体动力学(CFD)预测任何 D/P 装置浓度边界层的方法。在 MATLAB 中数值求解了二维纳维-斯托克斯和连续性方程,并在 COMSOL v6.1 中使用有限元方法预测了平板上流动的动量[Formula: see text]和浓度η边界层,即经典的布拉斯乌斯边界层流动。开发了一个 MATLAB 算法来计算任意边界层的边缘。基于 Blasius 分析的浓度边界层确定方法为[Formula: see text]和η提供了准确的估计,在高施密特数(Sc~1000)下,边界层方程的解与 Blasius 解的误差在 14%以内,与公认的施密特数相关([Formula: see text])的误差在 6.6%以内。本文提出的使用 CFD 计算的速度和浓度分布对浓度边界层进行 Blasius 分析的方法,将能够对临床前开发中使用的复杂 D/P 装置进行特征描述/分析,而这些装置可能没有解析解。

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