Section 1: Boundary Layer and Turbulence

MODULE 3

Section 1:
Boundary Layer and Turbulence

Section 2:   

Pressure Drop and Friction Factor

Section 3:   

Hear Transfer Coefficient

Section 4: 

Convection With Phase Change

 

Real Fluid

 

Viscosity forces (or shear stresses) occur in real flows due to the friction of fluid layers with different velocities. For the one-dimensional flow shown in figure 1, the velocity u is parallel to the wall and shear stresses occur in plans parallel to the wall.


 

Figure 1. Shear stress

The shear stress is estimated by Newton’s equation:


(3.3)

where

m is the dynamic viscosity 

and  

       is the velocity gradient.

The expression of the shear stress can also be presented in terms of the kinematics viscosity instead of the dynamic viscosity:


(3.4)

where r is the fluid density

 

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