Module 3: Physics of Combustion
  Lecture 17: Transport in Turbulent Flow
 


Turbulent Boundary layer

Consider 2D steady incompressible turbulent flow over a flat plate,

Momentum equation in x direction is given by,

The term is known as Reynolds stress

Energy equation for turbulent boundary layer is given by,

A simple model for Reynolds stress suggested by Bossinesq,

Similarly,

; where, is the turbulent diffusivity
; where, is the eddy diffusivity