The document discusses various analogies that can be drawn between the transport processes of momentum, heat, and mass. It explains that the basic transport mechanisms are the same and the governing equations are identical in form. Various analogies are presented, including the Reynolds analogy and modifications by Prandtl and von Korman that account for viscous sublayers and buffer layers in turbulent transport.

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

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