Real micropolar gas flow model

Abstract: The micropolar real gas model, which extends the traditional fluid dynamics model to account for micro-effects, is explored. This model introduces additional rotational degrees of freedom to capture the behavior of the internal fluid structure. By incorporating the equation of state for real gases, a shift from the ideal gas model to a more general case is achieved. The mathematical framework of this model is discussed, and results on the existence, uniqueness, and large-time behavior of the solution for one-dimensional and spherically symmetric flows are presented. Furthermore, we consider combustion within the fluid to form the reactive micropolar real gas model. This model additionally incorporates the chemical reactivity of the gas mixture, enabling the simulation of reactive flows such as fuel combustion, detonation in aerospace engineering, and the modeling of gaseous stars. Results on the well-posedness of this model are also presented.

MathematicsPhysics

Audience: researchers in the topic

Nečas Seminar on Continuum Mechanics

Series comments: This seminar was founded on December 14, 1966.

Faculty of Mathematics and Physics, Charles University, Sokolovská 83, Prague 8. If not written otherwise, we will meet on Mondays at 15:40 in lecture hall K3 (2nd floor)