In order to understand all issues regarding the analysis of flow around a sphere, first (a) Argue why force equilibrium occurs both in the case of a rising and a falling sphere fully submerged in a fluid. Take into consideration that the drag force depends on the velocity of the sphere. Can you sketch how the velocity of the sphere changes with respect to time? The prove the following: (b) The validity of eq. 4.12 (Textbook, p. 198). By the way, this result has beenfirst proven theoretically and verified with a laboratory experiment by G.G. Stokes, one of the two men who formulated the governing equations in Fluid Mechanics. (c) The validity of eq’s 4.17 and 4.18 (Textbook, p. 200).

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
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In order to understand all issues regarding the analysis of flow around a sphere, first

(a) Argue why force equilibrium occurs both in the case of a rising and a falling sphere fully submerged in a fluid. Take into consideration that the drag force depends on the velocity of the sphere. Can you sketch how the velocity of the sphere changes with respect to time?

The prove the following:
(b) The validity of eq. 4.12 (Textbook, p. 198). By the way, this result has beenfirst proven theoretically and verified with a laboratory experiment by G.G. Stokes, one of the two men who formulated the governing equations in Fluid Mechanics.

(c) The validity of eq’s 4.17 and 4.18 (Textbook, p. 200).


(d) The validity of the result in eq. E4.2.5 (Textbook, p. 204).

Fp = 3TµUD,
(4.12)
Screen Shot 2020-10-22 at 10.16.24 AM
Q Search
CD
gu
– Ps).
(4.18)
-
Re
3 p?u (Po - pr).
a Screen Shot 2020-10-22 at 10.16.47 AM
Q Search
dx
eat
1
-
U =
dt
eat +1'
(E4.2.5)
>
Transcribed Image Text:Fp = 3TµUD, (4.12) Screen Shot 2020-10-22 at 10.16.24 AM Q Search CD gu – Ps). (4.18) - Re 3 p?u (Po - pr). a Screen Shot 2020-10-22 at 10.16.47 AM Q Search dx eat 1 - U = dt eat +1' (E4.2.5) >
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