The storage tank shown in Figure 3 is equipped with a sight glass to provide a visual indication of liquid level. As part of a level control system, a level sensor will be connected to either the tank or the sight glass. The sight glass is considered because the tank level measurement is quite noisy due to turbulence, splashing liquid, etc. Assume the cross-sectional areas of the tank and sight glass are A1=3 m2 and A2=0.5 m2 respectively. To determine how the process dynamics are affected by the choice of sensor location, do the following: Derive the transfer functions H1' (s)/Q' (s) and H2' (s)/Q' (s), assuming 12 that both valve and piping between the tank and the sight glass act as linear resistances with values R1 =5 min/m2 and R2 =4 min/m2 , respectively. What is the relationship between H2' (s) and H1' (s)? Due to splashing and turbulence, you observe a periodical variation of liquid level from the sight glass. Assume the variation h2' (s) a sustained oscillation and can be modelled as: h2' = 0.1 sin(0.25t) what is the corresponding change in liquid level of the tank in steady-state? Based on your answer, if level sensor is to be placed in either the tank or the sight glass, which connection would you prefer?

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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The storage tank shown in Figure 3 is equipped with a sight glass to provide a visual indication of liquid level. As part of a level control system, a level sensor will be connected to either the tank or the sight glass. The sight glass is considered because the tank level measurement is quite noisy due to turbulence, splashing liquid, etc. Assume the cross-sectional areas of the tank and sight glass are A₁=3 m² and A₂=0.5 m² respectively. To determine how the process dynamics are affected by the choice of sensor location, do the following:

Derive the transfer functions H₁' (s)/Q' (s) and H₂' (s)/Q' (s), assuming 12 that both valve and piping between the tank and the sight glass act as linear resistances with values R₁ =5 min/m² and R₂ =4 min/m² ^, respectively.
What is the relationship between H₂' (s) and H₁' (s)?
Due to splashing and turbulence, you observe a periodical variation of liquid level from the sight glass. Assume the variation h₂' (s) a sustained oscillation and can be modelled as:

h₂' = 0.1 sin(0.25t)

what is the corresponding change in liquid level of the tank in steady-state? Based on your answer, if level sensor is to be placed in either the tank or the sight glass, which connection would you prefer?

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