Solving the Haaland Equation for Re

[dearmrfantasy]

Homework Statement

Using the Haaland equation shown below, determine the Reynold number Re

Friction factor λ = 0.032mm = 0.000032m
Absolute roughness Ks = 1.5 x 10-6m
Internal bore diameter d= 0.04m

1/√ λ = -1.8log[(6.9/Re) + [(ks/d)/3.7]1.11]

I have tried to solve the above equation but haven't got a clue as I have not been taught to this level. Consequently it's a bit unfair. Someone tried to help me but confused me even more. I do know the answer but need to show how I got the answer.

Any help would be appreciated.

 

[vela]

It seems a bit surprising you'd be working with an equation like this if you haven't mastered basic algebra yet. Where are you getting stuck?

 

[dearmrfantasy]

It seems a bit surprising you'd be working with an equation like this if you haven't mastered basic algebra yet. Where are you getting stuck?

Basic algebra yes but other people are speaking about anti logs? The left hand side of the equation is easy but I am struggling with the first part of the right hand side.

1/√0.032=-1.8log[(6.9/Re)+[( 1.5 x 10-6/0.04)/3.7]1.11]

Any help would be appreciated.

 

[vela]

The inverse of the log function is the exponential function e^x.

 

[cjl]

Well, more generally, the inverse of the log base n function is the exponential n^x. So, log_n(n^x) = x.