# Governing equations for transport phenomena

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Transport phenomena, which represent transports of momentum, heat and mass, include fluid mechanics, heat and mass transfer. The discussions of governing equations in the links below can be applied to [[Fluid Mechanics]], [[Heat and Mass Transfer]], thermal-fluids aspects of [[Combustion]], as well as [[Multiphase Systems]].<br> | Transport phenomena, which represent transports of momentum, heat and mass, include fluid mechanics, heat and mass transfer. The discussions of governing equations in the links below can be applied to [[Fluid Mechanics]], [[Heat and Mass Transfer]], thermal-fluids aspects of [[Combustion]], as well as [[Multiphase Systems]].<br> | ||

+ | *<b>[[Basics of governing equations|Basics]]</b> | ||

+ | *<b>[[Integral formulation of governing equations|Integral Formulation]]</b> | ||

+ | :[[Transformation formula]], [[Integral continuity equation|continuity]], [[Integral momentum equation|momentum]], [[Integral energy equation|energy]], [[Integral entropy equation|entropy]], and [[Integral conservation of mass species equation|conservation of mass species]] equations. | ||

- | *<b>[[ | + | *<b>[[Differential formulation of governing equations|Differential Formulation]]</b> |

- | + | :[[Continuity equation|Continuity]], [[Momentum equation|momentum]], [[Energy equation|energy]], [[Entropy equation|entropy]], and [[Conservation of mass species equation|conservation of mass species]] equations. | |

- | + | ||

- | :[[ | + | |

- | *<b>[[ | + | *<b>[[Classifications of PDE and boundary conditions]]</b> |

- | + | ||

- | + | :[[Classification of PDEs]] and [[classification of boundary conditions|boundary conditions]]. | |

- | : | + | |

- | *<b>[[Averaging | + | *<b>[[Jump and boundary conditions at interfaces]]</b> |

- | :[[ | + | :Conservation of [[Conservation of mass at interface|mass]], [[Conservation of momentum at interface|momentum]], [[Conservation of energy at interface|energy]], and [[Conservation of mass species at interface|mass species]]. |

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+ | *'''[[Rarefied vapor self-diffusion model]]''' | ||

+ | |||

+ | *'''[[Transport phenomena in combustion|Combustion]]''' | ||

+ | |||

+ | *<b>[[Averaging formulation of governing equations|Averaging Formulation]]</b> | ||

+ | :[[Averaging approaches]], [[multi-fluid model]], [[homogeneous model]], [[Governing Equations for Porous Media|porous media]], and [[Boltzmann statistical averaging]]. | ||

+ | |||

+ | *<b>[[Fundamentals of turbulence]]</b> | ||

+ | :[[ Description of turbulence]], and [[time-averaged governing equations for turbulence]]. | ||

+ | |||

+ | *<b>[[Related topics in governing equations|Related Topics]]</b> | ||

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+ | Back to [[Heat and Mass Transfer]].<br> | ||

+ | Back to [[Multiphase Systems]].<br> | ||

+ | Back to [[Main Page|'''T'''hermal-'''F'''luids'''P'''edia Main Page]]. | ||

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+ | ==References== | ||

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+ | Faghri, A., Zhang, Y., and Howell, J. R., 2010, ''Advanced Heat and Mass Transfer'', Global Digital Press, Columbia, MO. | ||

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+ | Faghri, A., and Zhang, Y., 2006, Transport Phenomena in Multiphase Systems, Elsevier, Burlington, MA. | ||

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+ | ==Further Reading== | ||

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+ | ==External Links== |

## Current revision as of 14:01, 5 August 2010

Transport phenomena, which represent transports of momentum, heat and mass, include fluid mechanics, heat and mass transfer. The discussions of governing equations in the links below can be applied to Fluid Mechanics, Heat and Mass Transfer, thermal-fluids aspects of Combustion, as well as Multiphase Systems.

- Transformation formula, continuity, momentum, energy, entropy, and conservation of mass species equations.

- Continuity, momentum, energy, entropy, and conservation of mass species equations.

- Conservation of mass, momentum, energy, and mass species.

- Averaging approaches, multi-fluid model, homogeneous model, porous media, and Boltzmann statistical averaging.

Back to Heat and Mass Transfer.

Back to Multiphase Systems.

Back to **T**hermal-**F**luids**P**edia Main Page.

## References

Faghri, A., Zhang, Y., and Howell, J. R., 2010, *Advanced Heat and Mass Transfer*, Global Digital Press, Columbia, MO.

Faghri, A., and Zhang, Y., 2006, Transport Phenomena in Multiphase Systems, Elsevier, Burlington, MA.