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Analytical solutions for the Colebrook and White equation and for pressure drop in ideal gas flow in pipes

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Title Analytical solutions for the Colebrook and White equation and for pressure drop in ideal gas flow in pipes
 
Creator MORE, AA
 
Subject lambert-w function
friction factor
smooth pipes
lambert w function
isothermal
friction factor
turbulence
fluid mechanics
numerical analysis
 
Description The friction factor, evaluated from the Colebrook and White equation, is traditionally computed iteratively. An analytical solution of the Colebrook and White equation for the friction factor can be obtained, using the Lambert W function. Also, the equation relating the outlet pressure to the inlet pressure of an ideal gas flowing through a straight pipe under isothermal, steady state conditions has been hitherto considered in literature to be implicit in these variables, probably due to its inherent non-linear nature. However, it can be shown that an analytical solution to the above equation for the pressure drop (or alternatively, outlet pressure) can also be obtained using the Lambert W function. (c) 2006
 
Publisher PERGAMON-ELSEVIER SCIENCE LTD
 
Date 2011-08-23T13:32:25Z
2011-12-26T12:56:28Z
2011-12-27T05:45:15Z
2011-08-23T13:32:25Z
2011-12-26T12:56:28Z
2011-12-27T05:45:15Z
2006
 
Type Article
 
Identifier CHEMICAL ENGINEERING SCIENCE, 61(16), 5515-5519
0009-2509
http://dx.doi.org/10.1016/j.ces.2006.04.003
http://dspace.library.iitb.ac.in/xmlui/handle/10054/10535
http://hdl.handle.net/10054/10535
 
Language en