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The following set of lectures are focused on governing equations.
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]].


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


[[Conservation of Momentum]]
{{GoverningEquations}}
 
[[Conservation of Energy]]
 
[[Non-Dimensionalization]]
 
[[Coupling Governing Equations]]
 
[[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).