Assume that the flowrate, Q, of a gas from a smokestack is a function of the density of the ambient air, pa, the density of the gas, pg, within the stack, the acceleration of gravity, g, and the height and diameter of the stack, h and d, respectively. Use Pa, d, and g as repeating variables to develop a set of pi terms that could be used to describe this problem. Qd12 g1/2 8. Pa hpg dpa d$/2 g1/2 Pg = O d512 g1/2 d Pg h Vdg Pa ´hpg evdg dpa,

Assume that the flowrate, Q, of a gas from a smokestack is a function of the density of the ambient air, pa, the density of the gas, pg, within the stack, the acceleration of gravity, g, and the height and diameter of the stack, h and d, respectively. Use Pa, d, and g as repeating variables to develop a set of pi terms that could be used to describe this problem. Qd12 g1/2 8. Pa hpg dpa d$/2 g1/2 Pg = O d512 g1/2 d Pg h Vdg Pa ´hpg evdg dpa,

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Pleasee fast only final answer needed . PLEASE BOTH QUESTIONS

Assume that the flowrate, Q, of a gas from a
smokestack is a function of the density of the
ambient air, Pa, the density of the gas, pg, within
the stack, the acceleration of gravity, g, and the
height and diameter of the stack, h and d,
respectively. Use Pa, d, and g as repeating variables
to develop a set of pi terms that could be used to
describe this problem.
Pg h
1/2
Pa d
´hpg
%D
d5/2 g1/2
dpa
Pg
= O
h
d512 g\/2
(祭)
h
Vdg
\Pa
d
´hpg
evdg = w
dpa

The pressure rise, Ap, across a pump can be
expressed as
Δp - f D, ρ, ω, Q ),
where D is the impeller diameter, p the fluid
density, w the rotational speed, and Q the flowrate.
Determine a suitable set of dimensionless
parameters.
Др
D²pa²
D³
Ap
D3
Ο Δp
PQ
Ο Δp
%D
po
D²o3
Ap
PQ
po²
D²»³

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