TY - JOUR
T1 - A mathematical treatment of the bump structure of particle-laden flows with particle features
AU - Matsue, Kaname
AU - Tomoeda, Kyoko
N1 - Funding Information:
This work was supported by JSPS Grant-in-Aid for Scientific Research (C) (No. JP18K03437). KM was partially supported by Program for Promoting the reform of national universities (Kyushu University), Ministry of Education, Culture, Sports, Science and Technology (MEXT), Japan, World Premier International Research Center Initiative (WPI), MEXT, Japan and JSPS Grant-in-Aid for Young Scientists (B) (No. JP17K14235). The authors would also like to thank Dr. Akane Kawaharada, who helped us with experimental observation of particle-laden flows. Finally, we would like to thank Editage ( www.editage.com ) for English language editing in our paper.
Publisher Copyright:
© 2022, The Author(s).
PY - 2022/12
Y1 - 2022/12
N2 - In this study, we consider particle-laden flows on an inclined plane under the effect of gravity. Previous experimental works have noted that a particle-rich ridge is generated near the contact line. We investigate the bump structure observed in particle-rich ridges in terms of Lax’s shock waves in the mathematical theory of conservation laws, explicitly considering the effect of particles with nontrivial radii on morphology of particle-laden flows. We also extract the dependence of radius and concentration of particles on the bump structure.
AB - In this study, we consider particle-laden flows on an inclined plane under the effect of gravity. Previous experimental works have noted that a particle-rich ridge is generated near the contact line. We investigate the bump structure observed in particle-rich ridges in terms of Lax’s shock waves in the mathematical theory of conservation laws, explicitly considering the effect of particles with nontrivial radii on morphology of particle-laden flows. We also extract the dependence of radius and concentration of particles on the bump structure.
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U2 - 10.1007/s13160-022-00521-2
DO - 10.1007/s13160-022-00521-2
M3 - Article
AN - SCOPUS:85142904408
SN - 0916-7005
VL - 39
SP - 1003
EP - 1023
JO - Japan Journal of Industrial and Applied Mathematics
JF - Japan Journal of Industrial and Applied Mathematics
IS - 3
ER -