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| fluid mechanics | |
|---|---|
| Name | Fluid mechanics |
| Field | Physics |
| Notable people | Isaac Newton, Leonhard Euler, Daniel Bernoulli, Claude-Louis Navier, George Gabriel Stokes, Ludwig Prandtl |
fluid mechanics Fluid mechanics is the study of liquids and gases in motion and at rest, integrating experimental, theoretical, and computational approaches. It connects laboratory practice at institutions such as the Cavendish Laboratory and Massachusetts Institute of Technology with industrial problems encountered at companies like General Electric and Boeing. The discipline has influenced landmark works and events including Philosophiæ Naturalis Principia Mathematica, Opera omnia (Leonhard Euler), and engineering programs at the Royal Society.
Fluid mechanics emerged from contributions by figures associated with Royal Society, Académie des Sciences, and universities including University of Cambridge and Université de Paris. Early analytical landmarks include results in Philosophiæ Naturalis Principia Mathematica and the variational methods later formalized by researchers at École Polytechnique. Developments in the nineteenth century tied the subject to industrial revolutions at firms such as Siemens and transport projects like the Erie Canal, while twentieth century advances were pushed by aeronautical work at National Advisory Committee for Aeronautics and wartime programs including Manhattan Project-era laboratories.
Key definitions trace to publications by Daniel Bernoulli, Leonhard Euler, Claude-Louis Navier, and George Gabriel Stokes. Essential quantities include density (ρ), pressure (p), velocity (v), viscosity (μ) and specific energy terms used in analyses published alongside reports from Royal Society proceedings. Dimensionless numbers—introduced or popularized in works at Kaiser Wilhelm Society-affiliated institutes and by scientists like Ludwig Prandtl—such as the Reynolds number, Froude number, and Mach number provide scaling between experiments at facilities like Wright-Patterson Air Force Base and full-scale systems designed by Rolls-Royce (engineering) or Airbus. Constitutive relations, including Newtonian and non-Newtonian models, were developed in texts and monographs associated with universities such as Princeton University and University of Göttingen.
The classical governing equations derive from conservation laws formalized in treatises by scholars at University of Edinburgh and University of Oxford. The continuity equation, momentum equations (Euler and Navier–Stokes), and energy equation appear prominently in works produced at Imperial College London and California Institute of Technology. The Navier–Stokes equations, linked historically to Claude-Louis Navier and George Gabriel Stokes, remain central to theoretical and applied analyses appearing in journals from societies such as the American Physical Society. Analytical solutions exist for canonical configurations treated by researchers at University of Manchester and ETH Zurich', while existence and smoothness questions have been framed in mathematical contexts at Clay Mathematics Institute.
Flows are classified by regimes studied at laboratories like Los Alamos National Laboratory and programs at NASA. Laminar and turbulent distinctions, stemming from experiments by Osborne Reynolds and theoreticians at Max Planck Institute for Dynamics and Self-Organization, are characterized via the Reynolds number and transition phenomena explored in dissertations from Technical University of Munich. Compressible versus incompressible flows—relevant to projects at Langley Research Center and Arnold Engineering Development Complex—use Mach number criteria derived in publications connected to Fédération Aéronautique Internationale standards. Multiphase flows and free-surface phenomena are topics in studies affiliated with Woods Hole Oceanographic Institution and Scripps Institution of Oceanography.
Experimental methods developed in workshops of École des Ponts ParisTech and laboratories at Georgia Institute of Technology include wind tunnel testing, water channel studies, and cavitation experiments performed at facilities like The National Renewable Energy Laboratory. Measurement techniques encompass hot-wire anemometry, particle image velocimetry (PIV), laser Doppler velocimetry (LDV), and pressure transducers; these methods were refined through collaborative programs with organizations such as Society of Automotive Engineers and published in conference proceedings of American Institute of Aeronautics and Astronautics. Scaling and similarity analyses use dimensional analysis approaches formalized by members of Royal Meteorological Society and engineering faculties at Delft University of Technology.
Computational approaches originated from numerical work at Argonne National Laboratory and Los Alamos National Laboratory and matured through software developed in research groups at Stanford University, Imperial College London, and commercial vendors like ANSYS and Siemens Digital Industries Software. Governing discretizations include finite difference, finite volume, and finite element schemes with turbulence modeling strategies such as Reynolds-averaged Navier–Stokes (RANS), large eddy simulation (LES), and direct numerical simulation (DNS) implemented in codes used by NASA and European Space Agency. Verification and validation practices align with standards advanced by organizations like American Society of Mechanical Engineers and test cases catalogued by consortia including ERCOFTAC.
Applications span aerospace projects at Boeing and Airbus, naval architecture work at Bath Iron Works, energy systems developed by ExxonMobil and Siemens Energy, and biomedical flows studied at Mayo Clinic and Johns Hopkins University. Design of turbines, pumps, and HVAC systems draws on methodologies taught in curricula at Carnegie Mellon University and University of California, Berkeley. Environmental and geophysical applications appear in collaborative initiatives with United Nations Environment Programme and research centers like National Oceanic and Atmospheric Administration, influencing policy dialogues and infrastructure projects including coastal defenses and flood mitigation programs tied to agencies such as Federal Emergency Management Agency.