The figure below shows a liquid-level system in which two tanks have cross-sectional areas, A, and A2, respec- tively. A pump is connected to tank 1 through a valve of linear resistance R₁. The inlet to the pump is open to atmosphere, and the pressure of the fluid increases by Ap when crossing the pump. The liquid flows from tank 1 to tank 2 through a valve of linear resistance R₂ and leaves tank 2 through a valve of linear resistance R₁, exiting at at- mospheric pressure. Assume the density p of the liquid is constant and note that both tanks are open to atmosphere as shown. Pa Ap Your Tasks: Pa A₁ EX Pa Az =-9 A. Derive a differential equation model for the system behavior in terms of the liquid heights h, and h₂. B. Put the differential equations into second-order matrix form.
The figure below shows a liquid-level system in which two tanks have cross-sectional areas, A, and A2, respec- tively. A pump is connected to tank 1 through a valve of linear resistance R₁. The inlet to the pump is open to atmosphere, and the pressure of the fluid increases by Ap when crossing the pump. The liquid flows from tank 1 to tank 2 through a valve of linear resistance R₂ and leaves tank 2 through a valve of linear resistance R₁, exiting at at- mospheric pressure. Assume the density p of the liquid is constant and note that both tanks are open to atmosphere as shown. Pa Ap Your Tasks: Pa A₁ EX Pa Az =-9 A. Derive a differential equation model for the system behavior in terms of the liquid heights h, and h₂. B. Put the differential equations into second-order matrix form.
Refrigeration and Air Conditioning Technology (MindTap Course List)
8th Edition
ISBN:9781305578296
Author:John Tomczyk, Eugene Silberstein, Bill Whitman, Bill Johnson
Publisher:John Tomczyk, Eugene Silberstein, Bill Whitman, Bill Johnson
Chapter11: Calibrating Instruments
Section: Chapter Questions
Problem 7RQ: Accuracy of a thermometer is more important in the ______temperature ranges.
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