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Fluid mechanics is the branch of physics concerned with the mechanics of fluids (liquids, gases, and plasmas) and the forces on them. [ 1 ] : 3 It has applications in a wide range of disciplines, including mechanical , aerospace , civil , chemical , and biomedical engineering , as well as geophysics , oceanography , meteorology , astrophysics ...
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 fluid mechanics, the Rayleigh number ( Ra, after Lord Rayleigh [ 1]) for a fluid is a dimensionless number associated with buoyancy -driven flow, also known as free (or natural) convection. [ 2][ 3][ 4] It characterises the fluid's flow regime: [ 5] a value in a certain lower range denotes laminar flow; a value in a higher range, turbulent ...
In the Eulerian specification of a field, the field is represented as a function of position x and time t. For example, the flow velocity is represented by a function. On the other hand, in the Lagrangian specification, individual fluid parcels are followed through time. The fluid parcels are labelled by some (time-independent) vector field x0.
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 liquids in motion).
pconstant is the total pressure at a point on a streamline. p + ρ u 2 / 2 + ρ g y = p c o n s t a n t {\displaystyle p+\rho u^ {2}/2+\rho gy=p_ {\mathrm {constant} }\,\!} Euler equations. ρ = fluid mass density. u is the flow velocity vector. E = total volume energy density. U = internal energy per unit mass of fluid.
Center of pressure (fluid mechanics) In fluid mechanics, the center of pressure is the point on a body where a single force acting at that point can represent the total effect of the pressure field acting on the body. The total force vector acting at the center of pressure is the surface integral of the pressure vector field across the surface ...
v. t. e. In physics, the first law of thermodynamics is an expression of the conservation of total energy of a system. The increase of the energy of a system is equal to the sum of work done on the system and the heat added to that system: where. is the total energy of a system. is the work done on it. is the heat added to that system.