Analytical and numerical investigations of fluid flow and heat transfer in turbulent slip incompressible flow in a cylindrical channel

Abstract

Based on two analytical approaches (Prandtl model and von Kármán model), turbulent flow in a cylindrical channel with flow slippage on the wall was considered. The results of the analytical solution are supplemented with numerical simulations based on the lattice Boltzmann model (LBM). Validations of the analytical model against numerical computations showed their good agreement. The analytical model enabled obtaining relations for the velocity profile, hydraulic resistance coefficient and Stanton number, which make it possible to evaluate the influence of the slip effect (Kn) and the flow rate (Re) on their variation.

Keywords:

• Turbulent flow
• knudsen number
• slippage
• analytical solution
• hydraulic resistance

Additional information

Funding

The research contribution of A.A.A., A.I.T. and N.P.D. was funded in frames of the program of research projects of the National Academy of Sciences of Ukraine “Support of priority for the state scientific researches and scientific and technical (experimental) developments” 2022–2023. Project: “Development of scientific principles of heat transfer and combustion processes to improve technologies for obtaining and using renewable fuels with the aim of decarbonizing the energy sector of Ukraine”.