Picture child's feet next to pens, pencils and paper

Open Access research that is helping to improve educational outcomes for children

Strathprints makes available scholarly Open Access content by researchers in the School of Education, including those researching educational and social practices in curricular subjects. Research in this area seeks to understand the complex influences that increase curricula capacity and engagement by studying how curriculum practices relate to cultural, intellectual and social practices in and out of schools and nurseries.

Research at the School of Education also spans a number of other areas, including inclusive pedagogy, philosophy of education, health and wellbeing within health-related aspects of education (e.g. physical education and sport pedagogy, autism and technology, counselling education, and pedagogies for mental and emotional health), languages education, and other areas.

Explore Open Access education research. Or explore all of Strathclyde's Open Access research...

Analytical solution of axi-symmetrical lattice Boltzmann model for cylindrical Couette flows

An, Hongyan and Zhang, Chuhua and Meng, Jian-Ping and Zhang, Yonghao (2012) Analytical solution of axi-symmetrical lattice Boltzmann model for cylindrical Couette flows. Physica A: Statistical Mechanics and its Applications, 391 (1-2). pp. 8-14. ISSN 0378-4371

[img]
Preview
PDF
Zhang_YH_Pure_Analytical_solution_for_the_lattice_Boltzmann_model_beyond_Navier_Stokes_Apr_2010.pdf
Preprint

Download (177kB) | Preview

Abstract

Analytical solution for the axi-symmetrical lattice Boltzmann model is obtained for the low-Mach number cylindrical Couette flows. In the hydrodynamic limit, the present solution is in excellent agreement with the result of the Navier-Stokes equation. Since the kinetic boundary condition is used, the present analytical solution using nine discrete velocities can describe flows with the Knudsen number up to 0.1. Meanwhile, the comparison with the simulation data obtained by the direct simulation Monte Carlo method shows that higher-order lattice Boltzmann models with more discrete velocities are needed for highly rarefied flows.