Transport of reactive solutes in unsteady annular flow subject to wall reactions |
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| Authors: | Suvadip Paul B.S. Mazumder |
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| Affiliation: | 1. FMI, University of Sofia, 5, J. Bourchier Blvd., 1164 Sofia, Bulgaria;2. FNSE, University of Rousse, 8, Studentska str., 7017 Rousse, Bulgaria;1. State Key Laboratory of Simulation and Regulation of Water Cycle in River Basin, China Institute of Water Resources and Hydropower Research, Beijing 100038, China;2. College of Shipbuilding Engineering, Harbin Engineering University, Harbin, Heilongjiang 150001, China;3. Key Laboratory of State Forestry Administration on Soil & Water Conservation, School of Soil & Water Conservation, Beijing Forestry University, Beijing 100083, China;1. State Key Laboratory for Turbulence and Complex Systems, College of Engineering, Peking University, Beijing 100871, China;2. NAAM Group, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia;1. State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan, HB, China;2. School of Civil and Environmental Engineering, Cornell University, Ithaca, NY, USA;3. Sibley School of Mechanical and Aerospace Engineering, Cornell University, Ithaca, NY, USA |
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| Abstract: | The present paper concerns with the dispersion process in steady and oscillatory flows through an annular pipe in presence of reversible and irreversible reactions at the wall. Method of homogenization, a multiple-scale method of averaging, is adopted for deriving the effective transport equations. The main objective is to look into the effect of aspect ratio of the annular pipe on the dispersion coefficient due to the combined effect of axial convection and radial diffusion in steady and oscillatory flows along the annulus, subject to the kinetic reversible phase exchange and irreversible absorption at the outer wall. Results demonstrate that upto a certain critical value of aspect ratio, dispersion coefficient increases with increase of aspect ratio when the wall is retentive, though the wall inertness may lead to decrease of dispersion coefficient with increase of aspect ratio. The results would be useful to the medical practitioners working in the domain of catheterized artery. |
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