2010/06/08 by Taha Sochi, Sochi, Taha · 1 citation
Chemical Engineering · Engineering · Mathematics · Physics and Astronomy · #FOS: Physical sciences #Fluid Dynamics and Thin Films #Fluid Dynamics and Vibration Analysis #Mathematical Physics (math-ph) #Rheology and Fluid Dynamics Studies #math-ph #math.MP
paper · pdf · doi:10.48550/arxiv.1006.1515
17 pages and 4 figures
arxiv created 2010/06/08 · openalex publication_date 2010/06/08 · arxiv updated 2010/06/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
This article deals with the flow of Newtonian fluids through axially-symmetric corrugated tubes. An analytical method to derive the relation between volumetric flow rate and pressure drop in laminar flow regimes is presented and applied to a number of simple tube geometries of converging-diverging nature. The method is general in terms of fluid and tube shape within the previous restrictions. Moreover, it can be used as a basis for numerical integration where analytical relations cannot be obtained due to mathematical difficulties.