Consider the two-tank liquid-level system shown below with cross-sectional areas, A₁ and A2, respectively. The liquidenters tank 1 through a pipe with a volumetric flow rate of q. The liquid can flow between the two tanks through a valve oflinear resistance R₁. The liquid discharges to atmospheric pressure from tank 2 through a valve of resistance R₂. Assumeboth tanks are exposed to atmospheric pressure and the density p of the liquid is constant.Your tasks:9100A₁/hiR₁A2TheR₂C-A. Derive a differential equation model for the system behavior in terms of the liquid heights h₁ and h2.B. Determine the transfer function G(s) = H₂(s)/Q₁(s) for the system in terms of flow resistances R₁ and R₂, hydrauliccapacitance values C₁ and C2, and gravity, g. (1

To Find:A. The differential equation model for the system behavior in terms of the liquid heights…

Answered: Consider the two-tank liquid-level…

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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Consider the two-tank liquid-level system shown below with cross-sectional areas, A₁ and A2, respectively. The liquid
enters tank 1 through a pipe with a volumetric flow rate of q. The liquid can flow between the two tanks through a valve of
linear resistance R₁. The liquid discharges to atmospheric pressure from tank 2 through a valve of resistance R₂. Assume
both tanks are exposed to atmospheric pressure and the density p of the liquid is constant.
Your tasks:
91
00
A₁
/hi
R₁
A2
The
R₂
C-
A. Derive a differential equation model for the system behavior in terms of the liquid heights h₁ and h2.
B. Determine the transfer function G(s) = H₂(s)/Q₁(s) for the system in terms of flow resistances R₁ and R₂, hydraulic
capacitance values C₁ and C2, and gravity, g. (1

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