A liquid is flowing at a volumetric flowrate of Q per unit width down a vertical surface. Obtain  form dimensional analysis, the form of the relationship between Q and the film thickness.  The flowrate Q is a function of density ρ, viscosity μ, film thickness δ and acceleration due to  gravity g.  Show that the volumetric flow rate is directly proportional to density if it is known that the  flowrate is inversely proportional to the viscosity.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A liquid is flowing at a volumetric flowrate of Q per unit width down a vertical surface. Obtain 
form dimensional analysis, the form of the relationship between Q and the film thickness. 
The flowrate Q is a function of density ρ, viscosity μ, film thickness δ and acceleration due to 
gravity g. 
Show that the volumetric flow rate is directly proportional to density if it is known that the 
flowrate is inversely proportional to the viscosity.

 

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