A liquid-liquid hydrocyclone in the form of an inverted cone with an initial liquid level H is about to be emptied through a nozzle orifice located at the bottom of the hydrocyclone. with diameter d (see Figure below). The emptying of the liquid is carried out by the gravity method: vout = √2gh a. Derive the equation for the relationship between the liquid level at any time (h) to the tank diameter (D) and the hole diameter (d). b. If known: - The initial height of the liquid (H) = 5 meters - Hole diameter (d) = 8 inch Define: - Time required to empty the tank - Linear velocity of the fluid coming out (vout) from the hole at t = 10 minutes

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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A liquid-liquid hydrocyclone in the form of an inverted cone with an initial liquid level H is about to be emptied through a nozzle orifice located at the bottom of the hydrocyclone.
with diameter d (see Figure below). The emptying of the liquid is carried out by the gravity method:

vout = √2gh

a. Derive the equation for the relationship between the liquid level at any time (h) to the tank diameter (D) and the hole diameter (d).
b. If known:
- The initial height of the liquid (H) = 5 meters
- Hole diameter (d) = 8 inch
Define:
- Time required to empty the tank
- Linear velocity of the fluid coming out (vout) from the hole at t = 10 minutes

D
h
459
Qout
Transcribed Image Text:D h 459 Qout
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