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Get Full Access to Process Dynamics And Control - 3 Edition - Chapter 2 - Problem 2.5
Get Full Access to Process Dynamics And Control - 3 Edition - Chapter 2 - Problem 2.5

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# Two surge tanks are used to dampen pressure fluctuations

ISBN: 9780470128671 148

## Solution for problem 2.5 Chapter 2

Process Dynamics and Control | 3rd Edition

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Problem 2.5

Two surge tanks are used to dampen pressure fluctuations caused by erratic operations of a large air compressor. (See Fig. E2.5.) (a) If the discharge pressure of the compressor is Pd(t) and the operating pressure of the furnace is P1 (constant), develop a dynamic model for the pressures in the two surge tanks as well as for the air mass flows at points a, b, and c. You may assume that the valve resistances are constant, that the valve flow characteristics are linear, e.g., wb = (P1 - P2)/Rb, that the surge processes operate isothermally, and that the ideal gas law holds. (b) How would you modify your model if the surge tanks operated adiabatically? What if the ideal gas law were not a good approximation?

Step-by-Step Solution:

Problem 2.5Two surge tanks are used to dampen pressure fluctuations caused by erratic operations of alarge air compressor. (See Fig. E2.5.) (a) If the discharge pressure of the compressor is Pd(t)and the operating pressure of the furnace is P1 (constant), develop a dynamic model for thepressures in the two surge tanks as well as for the air mass flows at points a, b, and c. You mayassume that the valve resistances are constant, that the valve flow characteristics are linear,e.g., wb = (P1 - P2)/Rb, that the surge processes operate isothermally, and that the ideal gaslaw holds. (b) How would you modify your model if the surge tanks operated adiabaticallyWhat if the ideal gas law were not a good approximation Step-by-step solution Step 1 of 4 ^Two surge tanks used to dampen pressure fluctuations caused by erratic operations of a largeair compressor is shown in Figure 1.

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