| Issue |
EPJ Web Conf.
Volume 340, 2025
Powders & Grains 2025 – 10th International Conference on Micromechanics on Granular Media
|
|
|---|---|---|
| Article Number | 03005 | |
| Number of page(s) | 4 | |
| Section | Kinetic Theory and Granular Gas | |
| DOI | https://doi.org/10.1051/epjconf/202534003005 | |
| Published online | 01 December 2025 | |
https://doi.org/10.1051/epjconf/202534003005
Nonlinear hydrodynamic theory for a dilute gas-solid suspension
1 Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee - 247667, India
2 Engineering Mechanics Unit, Jawaharlal Nehru Centre for Advanced Scientific Research, Jakkur PO, Bengaluru 560064, India
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Published online: 1 December 2025
Abstract
A second-order hydrodynamic theory is proposed for a dilute gas-solid suspension within the framework of the inelastic Boltzmann equation. A distribution function based on 14-hydrodynamic fields is used to calculate the colisional source terms that are correct up-to the second-order in hydrodynamic fields. This theory is used to analyse the uniform shear flow of a gas-solid suspension, yielding results on the granular temperature, the shear viscosity and the two normal stress differences. The theoretical results are compared with the predictions of the anisotropic Maxwellian theory (Saha & Alam, 2017, J. Fluid Mech., vol. 833, 206-246) and the particle simulation data over a range of Stokes numbers varying from order one to its dry granular limit. The inclusion of the second order nonlinearity in the collisional source term is found to be responsible for the non-zero second normal stress difference.
© The Authors, published by EDP Sciences, 2025
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