Graphical solution and interpretation of a new drain-spacing formula

1961 ◽  
Vol 66 (2) ◽  
pp. 509 ◽  
Author(s):  
Sadik Toksöz ◽  
Don Kirkham
Author(s):  
E A Bunt ◽  
B Parsons ◽  
F Holtzhausen

Examination of flows in a particular case of dissimilar pumps coupled in series or in parallel (without check valves) showed that the ‘classical’ graphical solution of combined characteristics in the [+H, +Q] quadrant did not accord with the output field in certain regions. To predict the full flow fields, it was necessary to take into account dissipative flow characteristics in two other quadrants: for low-output parallel flow (when there is still flow available from the pump of higher head when the ‘weaker’ pump's flow has been reduced to zero), that in the [+H, –Q] quadrant; and for high series flow (after the output head of the pump of lower maximum flow has been reduced to zero), that in the [–H, +Q] quadrant. This problem does not arise when the pumps have identical characteristics.


1937 ◽  
Vol 123 (832) ◽  
pp. 382-395 ◽  

Linear differential equations with constant coefficients are very common in physical and chemical science, and of these, the simplest and most frequently met is the first-order equation a dy / dt + y = f(t) , (1) where a is a constant, and f(t) a single-valued function of t . The equation signifies that the quantity y is removed at a rate proportional to the amount present at each instant, and is simultaneously restored at a rate dependent only upon the instant in question. Familiar examples of this equation are the charging of a condenser, the course of a monomolecular reaction, the movement of a light body in a viscous medium, etc. The solution of this equation is easily shown to be y = e - t / a { y 0 = 1 / a ∫ t 0 e t /a f(t) dt , (2) where y 0 is the initial value of y . In the case where f(t) = 0, this reduces to the well-known exponential decay of y .


1917 ◽  
Vol 9 (130) ◽  
pp. 125
Author(s):  
H. Orfeur
Keyword(s):  

1999 ◽  
Vol 2 (3) ◽  
pp. 277-294 ◽  
Author(s):  
Shuryo Nakai ◽  
Hiroki Saeki ◽  
Kenjin Nakamura

1930 ◽  
Vol 94 (1) ◽  
pp. 949-958
Author(s):  
Walter H. Dunlap ◽  
Robert C. Strachan ◽  
S. L. Moyer ◽  
Theodore Hatch ◽  
B. F. Jakobsen

1983 ◽  
Vol 106 (3) ◽  
pp. 225-238 ◽  
Author(s):  
N. Kishimoto ◽  
T. Tanabe ◽  
H. Yoshida

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