Reynolds analogy states that

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BPSC AE Paper 5 (Mechanical) 2019 Official Paper
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  1. S= √Cfx 
  2. S= 2Cfx

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Explanation

The significance of Reynolds’s analogy is that we would be able to predict the local convective heat transfer coefficient hx at any location x on the flat plate just by knowing the local skin friction coefficient at the same location of x even when there is no heat transfer between the plate and the fluid.

In short, Reynolds’s analogy shows the interrelationship between fluid friction and Newton’s Law of viscosity.

According to this. 

where

Nux = Local Nusselt number, Rex = Local Reynolds number, Stx = Local Stanton number, Pr = Prandtl number, Cfx = Skin friction coefficient

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