Analytic solution of steady-state diffusion through a channel or tube of small arbitrary curvature

Wang C. Y.

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Analytic solution of steady-state diffusion through a channel or tube of small arbitrary curvature

机译：通过小任意曲率的通道或管稳态扩散的分析解决方案

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摘要

The steady-state mass diffusion through a channel or tube is solved analytically by perturbation using the small curvature-half width product. Explicit formulas for the concentration distribution and the mass flux show the effect of curvature and the change of curvature. (C) 2019 Elsevier Ltd. All rights reserved.

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《Mechanics research communications》 |2019年第2019期|共4页
作者
Wang C. Y.;
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作者单位

Michigan State Univ Dept Math E Lansing MI 48824 USA;

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原文格式 PDF
正文语种 eng
中图分类应用力学;
关键词
Diffusion equation; Mass; Heat; Potential;

机译：扩散方程;质量;热量;潜力;

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1. Analytic solution of steady-state diffusion through a channel or tube of small arbitrary curvature [J] . Wang C. Y. Mechanics research communications . 2019,第期

机译：通过小任意曲率的通道或管稳态扩散的分析解决方案
2. Analytical solution to steady-state temperature field of Freeze-Sealing Pipe Roof applied to Gongbei tunnel considering operation of limiting tubes [J] . Hong Zequn, Hu Xiangdong, Fang Tao Tunnelling and underground space technology . 2020,第Nova期

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3. Analytical solution to steady-state temperature field with typical freezing tube layout employed in freeze-sealing pipe roof method [J] . Hu Xiangdong, Hong Zequn, Fang Tao Tunnelling and underground space technology . 2018,第SEPa期

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4. THREE-DIMENSIONAL ANALYTICAL MODEL FOR PRESSURE-DRIVEN CROSS-STREAM DIFFUSION IN MICROCHANNELS WITH ARBITRARY ASPECT RATIOS [C] . Hongjun Song, Yi Wang, Kapil Pant Proceedings of the ASME microanoscale heat and mass transfer international conference 2012 : Microanofluidics and Lab-on-a-chip .... . 2012

机译：任意纵横比的微通道内压力驱动横流扩散的三维分析模型
5. Analytical solution to the wave equation with discrete pressure sources: A model for the Rijke tube. [D] . Perez, Eduardo G. 2008

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6. Cross-stream diffusion under pressure-driven flow in microchannels with arbitrary aspect ratios: a phase diagram study using a three-dimensional analytical model [O] . Hongjun Song, Yi Wang, Kapil Pant -1

机译：具有任意纵横比的微通道的压力驱动流下的交叉流扩散：使用三维分析模型的相图研究
7. Analytical Solutions to Diffusional Deposition of Polydisperse Aerosols in Parallel Plate Channels and Circular Tubes [O] . K. W. Lee, S. P. Kim 1999

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8. Constant Parameter Steady-State Diffusion. Analytic Solutions in Two and Three Dimensions [R] . Thorne, C. J., Simmons, E. D. 1966

机译：常数参数稳态扩散。二维和三维解析解

Analytic solution of steady-state diffusion through a channel or tube of small arbitrary curvature

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