514. Graphical Solution of a Biquadratic

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

Role of Dissipation Characteristics in Predicting Flow from Dissimilar Centrifugal Pumps

1994 ◽  
Vol 208 (4) ◽  
pp. 285-294 ◽  
Author(s):  
E A Bunt ◽  
B Parsons ◽  
F Holtzhausen
Keyword(s):  
Flow Characteristics ◽  
Maximum Flow ◽  
Centrifugal Pumps ◽  
Graphical Solution ◽  
Dissipative Flow ◽  
In Series ◽  
Lower Maximum ◽  
Output Field ◽  
High Series

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.

scholarly journals A graphical solution of a differential equation with application to hill’s treatment of nerve excitation

1937 ◽  
Vol 123 (832) ◽  
pp. 382-395 ◽  
Keyword(s):  
Viscous Medium ◽  
Graphical Solution ◽  
Initial Value ◽  
First Order ◽  
Rate Dependent ◽  
Monomolecular Reaction ◽  
Constant Coefficients ◽  
Linear Differential ◽  
Physical And Chemical ◽  
Nerve Excitation

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 .

scholarly journals A graphical solution of multimodal optimization to improve food properties

1999 ◽  
Vol 2 (3) ◽  
pp. 277-294 ◽  
Author(s):  
Shuryo Nakai ◽  
Hiroki Saeki ◽  
Kenjin Nakamura
Keyword(s):  
Multimodal Optimization ◽  
Graphical Solution ◽  
Food Properties

Discussion of “Dunlap on Graphical Solution of a Correlation Table”

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

Gas permeation through composite two-layer systems and the graphical solution

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

Low-Cost Shaft Sealing With Shop Air

1974 ◽  
Vol 96 (2) ◽  
pp. 228-229
Author(s):  
W. J. Courtney
Keyword(s):  
Experimental Evidence ◽  
High Speed ◽  
Low Cost ◽  
Ultrahigh Vacuum ◽  
Graphical Solution ◽  
Seal Oil

This paper elucidates a method of using shop air to seal oil lubricated bearings. A graphical solution of Rayleigh’s equation is presented as a design aid. The efficacy of this sealing method is supported by experimental evidence derived during the development of an ultrahigh-vacuum high-speed rotary feedthrough.

Graphical solution of equations for stirred-tank reactors in series

1984 ◽  
Vol 61 (9) ◽  
pp. 786
Author(s):  
Pierre Chaignon ◽  
Jean-Pierre Caire ◽  
Patrick Ozil
Keyword(s):  
Stirred Tank ◽  
Graphical Solution ◽  
Stirred Tank Reactors ◽  
Solution Of Equations ◽  
In Series
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