7. Analogies All three molecular transport equations are identical. There is mathematical analogy between these equation but the actual physical mechanism occurring is totally different .E.g. In the mass transport two components are being transported by relative motion .In heat transfer, molecules are relatively stationary and transport is taken by electrons. Transport of momentum is occurred by several types of mechanism.

15. Analogies Integrating between the T=Ti and v=0 to some point where T is the same as the bulk T and assume that velocity at this point is same as average velocity.

16. Analogies This become Reynolds Analogy. It postulates direct interaction between the turbulent core of the flow and the walls.

24. Boundary layer in pipe Viscous sub layer Buffer zone Turbulent core

25. Viscous sub layer Buffer layer Turbulent core y + V + Dimensionless velocity ratio Dimensionless number

29. Thanks.