Module 1 :
Lecture 1 : Introduction
 


  • Laminar flows are characterized by a very high degree of orderliness.

Figure 1.1

  • The diffusive transport processes that occurs in laminar flows are only caused by molecular motion.
  • Laminar flow solutions can generally be obtained by integration of the set of differential equations given below:

    Continuity equations ( ρ = const.):

Momentum equation: j = 1, 2, 3      

  • Equations for 4 unknowns U1 , U2 , U3 and P are available.

Equations to describe damping of disturbances

       

Let us accept the solution as

or,  
  • Stable laminar flows posses a high degree of stability against outside disturbances.
  • Short wave disturbances are better damped than long wave disturbances.
  • If a whole spectrum of disturbances acts on a flow, the long wave disturbances are maintained longer.
  • If externally introduced disturbances are not damped, the flow will not maintain laminar character.