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Volume 104
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Liu, X., Zhang, Y., Gao, Y., & Wang, X. (2025). Theoretical study on aerosol deposition in a circular tube due to diffusion and thermophoresis in plug laminar flow neglecting coagulation. Particuology, 104, 198-206. https://doi.org/10.1016/j.partic.2025.07.005
Theoretical study on aerosol deposition in a circular tube due to diffusion and thermophoresis in plug laminar flow neglecting coagulation
Xiaolin Liu a b, Yijie Zhang a, Yongwei Gao a *, Xuming Wang a *
a School of Physics, Ningxia University, Yinchuan, 750021, China
b School of Physics and Electronic Information Engineering, Ningxia Normal University, Guyuan, 756000, China
10.1016/j.partic.2025.07.005
Volume 104, September 2025, Pages 198-206
Received 17 February 2025, Revised 18 June 2025, Accepted 7 July 2025, Available online 16 July 2025, Version of Record 23 July 2025.
E-mail: gaoyw@nxu.edu.cn; wxmwang@nxu.edu.cn
Highlights

• Exact solutions of aerosol transport equation in horizontal tubes are obtained.

• Thermophoresis effect is considered for analyzing aerosol deposition in the tube.

• Concentration profiles are axisymmetric and different from previous studies.

• Thermophoresis has much influence on particle deposition and penetration.

• Solution for diffusional mechanism is effective to estimate aerosol deposition.


Abstract

Aerosol deposition from the plug laminar flow regime in a circular tube due to diffusion and thermophoresis is studied theoretically, and the aerosol concentration, mean concentration or deposition efficiency, and Sherwood number are calculated and analyzed by using the analytical solutions based on the detailed comparison with the previous studies. The results show that aerosol concentration distributions for both mechanisms of individual diffusion and combined consideration of diffusion and thermophoresis are symmetrical. However, the axial concentration for the case of diffusion alone is maximal, the maximal values for deposition parameter larger than zero, which appears in the region of non-dimensional radial coordinate from 0 to 1. The large influence of thermophoresis on aerosol mean concentration is found from the detailed comparison, and the bigger of the transport distance and the deposition parameter, the smaller of the aerosol mean concentration. The Sherwood number decreases with the increase of axial coordinate for deposition parameter equal and larger than zero, and the bigger of the deposition parameter, the larger of the deposition velocity.

Graphical abstract
Keywords
Thermophoresis; Diffusional deposition; Circular tube; Plug flow
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