List of equations in fluid mechanics
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This article summarizes equations in the theory of fluid mechanics.
Definitions
[edit]![](http://upload.wikimedia.org/wikipedia/commons/thumb/a/ad/General_flux_diagram.svg/300px-General_flux_diagram.svg.png)
Here is a unit vector in the direction of the flow/current/flux.
Quantity (common name/s) | (Common) symbol/s | Defining equation | SI units | Dimension |
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Flow velocity vector field | u | m s−1 | [L][T]−1 | |
Velocity pseudovector field | ω | s−1 | [T]−1 | |
Volume velocity, volume flux | φV (no standard symbol) | m3 s−1 | [L]3 [T]−1 | |
Mass current per unit volume | s (no standard symbol) | kg m−3 s−1 | [M] [L]−3 [T]−1 | |
Mass current, mass flow rate | Im | kg s−1 | [M][T]−1 | |
Mass current density | jm | kg m−2 s−1 | [M][L]−2[T]−1 | |
Momentum current | Ip | kg m s−2 | [M][L][T]−2 | |
Momentum current density | jp | kg m s−2 | [M][L][T]−2 |
Equations
[edit]Physical situation | Nomenclature | Equations |
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Fluid statics, pressure gradient |
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Buoyancy equations |
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Buoyant force
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Bernoulli's equation | pconstant is the total pressure at a point on a streamline | |
Euler equations |
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Convective acceleration | ||
Navier–Stokes equations |
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See also
[edit]- Defining equation (physical chemistry)
- List of electromagnetism equations
- List of equations in classical mechanics
- List of equations in gravitation
- List of equations in nuclear and particle physics
- List of equations in quantum mechanics
- List of photonics equations
- List of relativistic equations
- Table of thermodynamic equations
Sources
[edit]- P.M. Whelan, M.J. Hodgeson (1978). Essential Principles of Physics (2nd ed.). John Murray. ISBN 0-7195-3382-1.
- G. Woan (2010). The Cambridge Handbook of Physics Formulas. Cambridge University Press. ISBN 978-0-521-57507-2.
- A. Halpern (1988). 3000 Solved Problems in Physics, Schaum Series. Mc Graw Hill. ISBN 978-0-07-025734-4.
- R.G. Lerner, G.L. Trigg (2005). Encyclopaedia of Physics (2nd ed.). VHC Publishers, Hans Warlimont, Springer. pp. 12–13. ISBN 978-0-07-025734-4.
- C.B. Parker (1994). McGraw Hill Encyclopaedia of Physics (2nd ed.). McGraw Hill. ISBN 0-07-051400-3.
- P.A. Tipler, G. Mosca (2008). Physics for Scientists and Engineers: With Modern Physics (6th ed.). W.H. Freeman and Co. ISBN 978-1-4292-0265-7.
- L.N. Hand, J.D. Finch (2008). Analytical Mechanics. Cambridge University Press. ISBN 978-0-521-57572-0.
- T.B. Arkill, C.J. Millar (1974). Mechanics, Vibrations and Waves. John Murray. ISBN 0-7195-2882-8.
- H.J. Pain (1983). The Physics of Vibrations and Waves (3rd ed.). John Wiley & Sons. ISBN 0-471-90182-2.
Further reading
[edit]- L.H. Greenberg (1978). Physics with Modern Applications. Holt-Saunders International W.B. Saunders and Co. ISBN 0-7216-4247-0.
- J.B. Marion, W.F. Hornyak (1984). Principles of Physics. Holt-Saunders International Saunders College. ISBN 4-8337-0195-2.
- A. Beiser (1987). Concepts of Modern Physics (4th ed.). McGraw-Hill (International). ISBN 0-07-100144-1.
- H.D. Young, R.A. Freedman (2008). University Physics – With Modern Physics (12th ed.). Addison-Wesley (Pearson International). ISBN 978-0-321-50130-1.