Munson, Young and Okiishi's Fundamentals of Fluid Mechanics, 8th Edition by Philip M. Gerhart & Andrew L. Gerhart & John I. Hochstein

Author:Philip M. Gerhart & Andrew L. Gerhart & John I. Hochstein [Gerhart, Philip M.]
Language: eng
Format: epub
Publisher: Wiley
Published: 2015-12-01T06:00:00+00:00

*7.39 The pressure drop, Δ p, over a certain length of horizontal

power, or product of one or more of the common dimensionless

pipe is assumed to be a function of the velocity, V, of the fluid in

parameters listed in Table 7.1?

the pipe, the pipe diameter, D, and the fluid density and viscosity,

7.34 Develop the Weber number by starting with estimates for the

ρ and μ. (a) Show that this flow can be described in dimensionless

inertia and surface tension forces.

form as a “pressure coefficient,” Cp = Δ p/(0.5 ρV 2) that depends

on the Reynolds number, Re = ρVD/μ. (b) The following data were

7.35 Develop the Froude number by starting with estimates of the

obtained in an experiment involving a fluid with ρ = 2 slugs/ft3,

fluid kinetic energy and fluid potential energy.

μ = 2 × 10−3 lb ∙ s/ft2, and D = 0.1 ft. Plot a dimensionless graph

and use a power law equation to determine the functional relation-

7.36 The following dimensionless groups are often used to pre-

ship between the pressure coefficient and the Reynolds number.

Q

sent data on centrifugal pumps: flow coefficient φ =

, head

(c) What are the limitations on the applicability of your equation

ωD 3

obtained in part (b)?

gH

W

˙

coefficient ψ =

, power coefficient ξ =

, efficiency η =

ω 2 D 2

ω 3 D 5

ρgQH

ω√ Q

ω√ Q

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