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Gas kinetics is a science in the branch of fluid dynamics, concerned with the study of motion of gases and its effects on physical systems. Based on the principles of fluid mechanics and thermodynamics , gas dynamics arises from the studies of gas flows in transonic and supersonic flights .
The configuration space and the phase space of the dynamical system both are Euclidean spaces, i. e. they are equipped with a Euclidean structure.The Euclidean structure of them is defined so that the kinetic energy of the single multidimensional particle with the unit mass = is equal to the sum of kinetic energies of the three-dimensional particles with the masses , …,:
Dimensionless numbers (or characteristic numbers) have an important role in analyzing the behavior of fluids and their flow as well as in other transport phenomena. [1] They include the Reynolds and the Mach numbers, which describe as ratios the relative magnitude of fluid and physical system characteristics, such as density, viscosity, speed of sound, and flow speed.
In physics, physical chemistry and engineering, fluid dynamics is a subdiscipline of fluid mechanics that describes the flow of fluids – liquids and gases. It has several subdisciplines, including aerodynamics (the study of air and other gases in motion) and hydrodynamics (the study of water and other liquids in motion).
In physics and engineering, kinetics is the branch of classical mechanics that is concerned with the relationship between the motion and its causes, specifically, forces and torques. [ 1 ] [ 2 ] [ 3 ] Since the mid-20th century, the term " dynamics " (or " analytical dynamics ") has largely superseded "kinetics" in physics textbooks, [ 4 ...
Although the net formula for decomposition or isomerization appears to be unimolecular and suggests first-order kinetics in the reactant, the Lindemann mechanism shows that the unimolecular reaction step is preceded by a bimolecular activation step so that the kinetics may actually be second-order in certain cases. [7]
In classical mechanics, Euler's rotation equations are a vectorial quasilinear first-order ordinary differential equation describing the rotation of a rigid body, using a rotating reference frame with angular velocity ω whose axes are fixed to the body.
Differential-Difference Equations (PDF). Mathematics in Science and Engineering. New York, NY: Academic Press. ISBN 978-0120848508. Briat, Corentin (2015). Linear Parameter-Varying and Time-Delay Systems: Analysis, Observation, Filtering & Control. Advances in Delays and Dynamics. Heidelberg, DE: Springer-Verlag. ISBN 978-3662440490.