It is derived from fluid dynamics.

Aerodynamics is a subfield of fluid dynamics and gas dynamics, with much theory shared between them.

During this time, the groundwork was laid down for modern day fluid dynamics and aerodynamics, with other less scientifically-inclined enthusiasts testing various flying machines with little success.

Image showing shock waves from NASA's X-43A hypersonic research vehicle in flight at Mach 7, generated using a computational fluid dynamics algorithm. On September 30, 1935 an exclusive conference was held in Rome with the topic of high velocity flight and the possibility of breaking the sound barrier.

Computational fluid dynamics was started as an effort to solve for flow properties around complex objects and has rapidly grown to the point where entire aircraft can be designed using a computer, with wind-tunnel tests followed by flight tests to confirm the computer predictions.

In fluid dynamics, the continuity equation is analogous to Kirchhoff's Current Law in electric circuits.

This case is called Potential flow and allows the differential equations used to be a simplified version of the governing equations of fluid dynamics, thus making available to the aerodynamicist a range of quick and easy solutions.

Whole blood ( plasma and cells ) exhibits non-Newtonian fluid dynamics ; its flow properties are adapted to flow effectively through tiny capillary blood vessels with less resistance than plasma by itself.

) In fluid dynamics, such a vector field is a potential flow.

Presented in 1915 by Wolfgang Gaede and using mercury vapor, they were the first type of high vacuum pumps operating in the regime of free molecular flow, where the movement of the gas molecules can be better understood as diffusion than by conventional fluid dynamics.

That is, because the continuum assumptions of fluid dynamics no longer apply, mass transport is governed by molecular dynamics rather than fluid dynamics.

** Fluid dynamics or hydrodynamics, the study of fluid flow

*** Computational fluid dynamics, a way of studying fluid dynamics using numerical methods

* Dispersive mass transfer, in fluid dynamics, the spreading of mass from areas of high to low concentration

The objectives of the Centre shall be to develop, and operate on a regular basis, global models and data-assimilation systems for the dynamics, thermodynamics and composition of the Earth's fluid envelope and interacting parts of the Earth-system, with a view to preparing forecasts by means of numerical methods, providing initial conditions for the forecasts, and contributing to monitoring the relevant parts of the Earth-system.

The study of fluids is fluid mechanics, which is subdivided into fluid dynamics and fluid statics depending on whether the fluid is in motion.

* Joseph Boussinesq ( 1842-1929 ), professor, mathematician, fluid mechanics specialist

Examples in physics of equations defined by a potential include the electromagnetic field, the gravitational field, and, in fluid dynamics, potential flow, which is an approximation to fluid flow assuming constant density, zero viscosity, and irrotational flow.

In the Debye-Hückel approximation, we maintain the system in thermodynamic equilibrium, at a temperature T high enough that the fluid particles obey Maxwell-Boltzmann statistics.

Analysis of this shifted wavelength can be used to directly, and with great precision, determine the speed of the particle and thus a close approximation of the fluid velocity.

The kinematic approximation becomes invalid when the magnetic field becomes strong enough to affect the fluid motions.

The Knudsen number is useful for determining whether statistical mechanics or the continuum mechanics formulation of fluid dynamics should be used: If the Knudsen number is near or greater than one, the mean free path of a molecule is comparable to a length scale of the problem, and the continuum assumption of fluid mechanics is no longer a good approximation.

Surface mounted sensors are measuring the pipe surface as a close approximation of the internal process fluid.

a mean field approximation of underlying microscopic degrees of freedom, similar to the fluid mechanics approximation of Bose – Einstein condensates.

However, since the effects of the compressibility of air at low speeds is negligible, these simplified equations can be used for both airfoils and hydrofoils as long as the fluid flow is substantially less than the speed of sound .< ref >"... the low-speed flow of air, where V < 100 m / s ( or V < 225 mi / hr ) can also be assumed to be incompressible to a close approximation.

If one is to allow for approximations to be made, a simpler way ( without necessarily assuming the fluid is incompressible ) to obtain an approximation to Lighthill's equation is to assume that, where and are the ( characteristic ) density and pressure of the fluid in its equilibrium state.

In fact, the approximate relation between and that we assumed is just a linear approximation to the generic barotropic equation of state of the fluid.

Important fluids, like water as well as most gases, behave — to good approximation — as a Newtonian fluid under normal conditions on Earth.

Dimitri Pavlovitch Riabouchinsky (, 1882 – 1962 ) was a Russian French fluid dynamicist noted for his discovery of the Riabouchinsky solid technique.

In physics, the Navier – Stokes equations, named after Claude-Louis Navier and George Gabriel Stokes, describe the motion of fluid substances.

The Rayleigh number is named after Lord Rayleigh and is defined as the product of the Grashof number, which describes the relationship between buoyancy and viscosity within a fluid, and the Prandtl number, which describes the relationship between momentum diffusivity and thermal diffusivity.

A simple mathematical representation of Brownian motion, the Wiener equation, named after Wiener, assumes the current velocity of a fluid particle fluctuates.

In 1652, Olaus Rudbeck ( 1630 – 1702 ), a Swede, discovered certain transparent vessels in the liver that contained clear fluid ( and not white ), and thus named them hepatico-aqueous vessels.

Their initial process used a spark machining process, named after the succession of sparks ( electrical discharges ) that took place between two electrical conductors immersed in a dielectric fluid.

The 30 ° angle of the escalators was discovered to be crucial to the incident and the large number of casualties in the fire was an indirect consequence of a fluid flow phenomenon that was later named the trench effect ; this phenomenon was completely unknown prior to the fire.

A simple mathematical representation of Brownian motion, the Wiener equation, named after Norbert Wiener, assumes the current velocity of a fluid particle fluctuates randomly:

Bodies were capable of holding a certain amount of this fluid, hence the term heat capacity, named and first investigated by Joseph Black in the 1750s.

The unit of fluid permeability, darcy, is named in honor of his work.

A Newtonian fluid ( named after Isaac Newton ) is a fluid whose stress versus strain rate curve is linear and passes through the origin.

A collection of serous fluid in the spermatic cord is named ' funiculocele '.

The Rossby number, named for Carl-Gustav Arvid Rossby, is a dimensionless number used in describing fluid flow.

In fluid mechanics, Helmholtz's theorems, named after Hermann von Helmholtz, describe the three-dimensional motion of fluid in the vicinity of vortex filaments.

* List of fluid flows named after people

Citroën quickly realized that standard brake fluid was not ideally suited to high pressure hydraulics, and developed a special red coloured hydraulic fluid named LHS, which they used from 1954 to 1967.

The regenerative Rankine cycle is so named because after emerging from the condenser ( possibly as a subcooled liquid ) the working fluid is heated by steam tapped from the hot portion of the cycle.

Anthropologists have named various cultural regions, with fluid boundaries, that are generally agreed upon with some variation.

It is named after the engineer and fluid dynamicist, Theodore von Kármán and is responsible for such phenomena as the " singing " of suspended telephone or power lines, and the vibration of a car antenna at certain speeds.

* Joule – Thomson effect, named after James Prescott Joule and William Thomson, which explains the temperature change of a fluid when allowed to pass through a porous plug with the system kept thermally insulated

A Penrose drain is a surgical device, named for the American gynecologist Charles Bingham Penrose ( 1862 – 1925 ), placed in a wound to drain fluid.

There are two Bejan numbers ( Be ) in use, named after Duke University professor Adrian Bejan in two scientific domains: thermodynamics and fluid mechanics.