Heat transfer and hydrodynamics of slip confusor flow under second-order boundary conditions

The paper focused on an analytical analysis of the main features of heat transfer in incompressible steady-state flow in a microconfusor with account for the second-order slip boundary conditions. The second-order boundary conditions serve as a closure of a system of the continuity, transport, and energy differential equations. As a result, novel solutions were obtained for the velocity and temperature profiles, as well as for the friction coefficient and the Nusselt number. These solutions demonstrated that an increase in the Knudsen number leads to a decrease in the Nusselt number. It was shown that the account for the second-order terms in the boundary conditions noticeably affects the fluid flow characteristics and does not influence on the heat transfer characteristics. It was also revealed that flow slippage effects on heat transfer weaken with an increase in the Prandtl number.

Automated summary

This paper analyzed the heat transfer characteristics of incompressible steady-state flow in a microconfusor with second-order slip boundary conditions, obtaining novel solutions for velocity and temperature profiles, friction coefficient, and Nusselt number. It was found that an increase in Knudsen number leads to a decrease in Nusselt number. Additionally, the inclusion of second-order terms in boundary conditions significantly affects fluid flow characteristics but does not influence heat transfer characteristics. The study also revealed that the effects of flow slippage on heat transfer weaken with an increase in Prandtl number.