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The following set of lectures are focused on governing equations.  Governing equations are [[CFD Lectures|partial differential equations]] derived from first principles (e.g. conservation of mass, conservation of energy, etc.).   
The following set of lectures are focused on governing equations.  Governing equations are [[PDE Lectures|partial differential equations]] derived from first principles (e.g. conservation of mass, conservation of energy, etc.).   


[[Reynolds Transport Theorem]]
The approach taken by these lectures is to start at a very fundamental description of fluid flow, and derive [[Reynolds Transport Theorem]] from this perspective.  Reynolds Transport Theorem is then used to express the fundamental governing equations of [[CFD]].


[[Mass Governing Equations]]
Other topics are also included, such as approaches to analyzing and simplifying the equations (non-dimensionalization).


[[Momentum Governing Equations]]
{{GoverningEquations}}
 
[[Energy Governing Equations]]
 
[[Non-Dimensionalization of PDEs]]
 
[[Multiphysics Coupling of Governing Equations|Multiphysics Coupling]]
 
[[Combustion Governing Equations]]
 
[[Master Equation]]

Latest revision as of 23:21, 15 November 2010

The following set of lectures are focused on governing equations. Governing equations are partial differential equations derived from first principles (e.g. conservation of mass, conservation of energy, etc.).

The approach taken by these lectures is to start at a very fundamental description of fluid flow, and derive Reynolds Transport Theorem from this perspective. Reynolds Transport Theorem is then used to express the fundamental governing equations of CFD.

Other topics are also included, such as approaches to analyzing and simplifying the equations (non-dimensionalization).