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Department of Metallurgical Engineering and Materials Science

IIT BombayFormulas/Charts for Transport Phenomena Course

Newton’s law of Viscosity

τ yx  = −µdvx

dy  (1)

Mechanical Energy Balance

1

2

v22β 2

−1

2

v21β 1

+ g(z2 − z1) + 

  2

1

1

ρ

dP  +  Ŵ  +  Ê f   = 0   (2)

Ê f   = 2 L

D

v2f F    (3)

Fanning friction factor chart for pipe flow [1]

Figure 1: Fanning friction factor chart for pipe flow [1]

Expressions: Fanning friction factor for pipe flow

f F   =  16

ReD(4)

1

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Turbulent Flow

Colebrook correlation

1√ f F 

=   −4log

  1

3.7

D +

  1.255

ReD√ f F 

  Turbulent flow, for ReD  > 4000   (5)

Churcill Correlation

1√ f F 

=   −4log

0.27

 

D +

  7

ReD

0.9  Turbulent flow, for ReD  > 4000(6)

Blasius equation for hydraulically smooth pipes

f F    =

  0.0791

Re0.25D Turbulent flow, Smooth Pipes, for ReD  

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References

[1] R. Perry and D. Green, Chemical Engineers Handbook . McGraw-Hill, New York,USA, 8th ed., 2008.

[2] O. Levenspiel, Engineering Flow and Heat Exchange. Plenum Press, New York,

USA, 1984.

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