# Governing equations for transport phenomena

(Difference between revisions)
 Revision as of 13:02, 29 June 2009 (view source)← Older edit Current revision as of 14:01, 5 August 2010 (view source) (→References) (17 intermediate revisions not shown) Line 1: Line 1: 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]].
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]].
+ *[[Basics of governing equations|Basics]] + *[[Integral formulation of governing equations|Integral Formulation]] + :[[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. - *[[Basics of Governing Equations|Basics]] + *[[Differential formulation of governing equations|Differential Formulation]] - :[[Lagrangian approach]] and [[Eulerian approach]]. + :[[Continuity equation|Continuity]], [[Momentum equation|momentum]], [[Energy equation|energy]], [[Entropy equation|entropy]], and [[Conservation of mass species equation|conservation of mass species]] equations. - *[[Integral Formulation of Governing Equations|Integral Formulation]] + - :[[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. + - *[[Differential Formulation of Governing Equations|Differential Formulation]] + *[[Classifications of PDE and boundary conditions]] - :[[Continuity Equation|Continuity]], [[Momentum Equation|momentum]], [[Energy Equation|energy]], [[Entropy Equation|entropy]], and [[Conservation of Mass Species Equation|conservation of mass species]] equations. + - *[[Classifications of PDE and Boundary Conditions]] + - :[[Elliptic, Parabolic and Hyperbolic Equaions|Elliptic, parabolic and hyperbolic PDEs]] and [[Classification of Boundary Conditions|classification of boundary conditions]]. + - *[[Boundary Conditions at Interfaces]] + :[[Classification of PDEs]] and [[classification of boundary conditions|boundary conditions]]. - :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]]; and [[Supplementary Conditions at Interfaces|supplementary conditions]]. + - *[[Averaging Formulation of Giverning Equations|Averaging Formulation ]] + *[[Jump and boundary conditions at interfaces]] - :[[Overview of Averaging|Overview]], [[Volume Averaging|volume averaging]], [[Area averaging|area averaging]], and [[Boltzmann Statistical Averaging|Boltzmann statistical averaging]]. + :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]]. - *[[Related Topics in Governing Equations|Related Topics]] + *'''[[Rarefied vapor self-diffusion model]]''' + + *'''[[Transport phenomena in combustion|Combustion]]''' + + *[[Averaging formulation of governing equations|Averaging Formulation]] + :[[Averaging approaches]], [[multi-fluid model]], [[homogeneous model]], [[Governing Equations for Porous Media|porous media]], and [[Boltzmann statistical averaging]]. + + *[[Fundamentals of turbulence]] + :[[ Description of turbulence]], and [[time-averaged governing equations for turbulence]]. + + *[[Related topics in governing equations|Related Topics]] Back to [[Heat and Mass Transfer]].
Back to [[Heat and Mass Transfer]].
- Back to [[Main Page|Thermalpedia Main Page]]. + Back to [[Multiphase Systems]].
+ Back to [[Main Page|'''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. + + ==Further Reading== + + ==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.
Classification of PDEs and boundary conditions.
Conservation of mass, momentum, energy, and mass species.
Averaging approaches, multi-fluid model, homogeneous model, porous media, and Boltzmann statistical averaging.
Description of turbulence, and time-averaged governing equations for turbulence.

Back to Heat and Mass Transfer.
Back to Multiphase Systems.
Back to Thermal-FluidsPedia 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.