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Research Papers

Pilot-Dynamics Coupled Finite-Volume Analysis of Main Flow Transients Through a Pneumatic Pressure-Regulating Valve

[+] Author and Article Information
Binod Kumar Saha

CSIR-CMERI,
M G Avenue,
Durgapur 713209, WB, India
e-mail: bsahacmeri@gmail.com

Tapas Gangopadhyay

CSIR-CMERI,
M G Avenue,
Durgapur 713209, WB, India
e-mail: tganguly@cmeri.res.in

Dipankar Sanyal

Professor
Department of Mechanical Engineering,
Jadavpur University,
Kolkata 700032, India
e-mail: dipans26@gmail.com

1Corresponding author.

Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received April 5, 2015; final manuscript received November 29, 2015; published online December 23, 2015. Assoc. Editor: Bryan Rasmussen.

J. Dyn. Sys., Meas., Control 138(2), 021008 (Dec 23, 2015) (10 pages) Paper No: DS-15-1153; doi: 10.1115/1.4032134 History: Received April 05, 2015; Revised November 29, 2015

The environment management system of an aircraft requires regulated air at nearly constant temperature and pressure, despite their wide variations at the system inlet. A pressure regulation valve is an important part of that system. In response to the variation of inlet pressure, a change in the motive flow force on a spool causes a change in the steady-state opening of an orifice in the main flow path, thereby providing the pressure regulation. The change in the flow force is contributed both by the main flow and a pilot flow through a fixed orifice and a relief valve. Simple models for the pilot flow and the pressure dynamics of a pilot chamber at the head side of the spool have been developed here for capturing the spool dynamics. The transient flow through the fixed valve body and the moving spool chamber has been solved by finite-volume method with dynamic meshing. The numerical results of the pressure drop in the main flow path for the fully open spool valve have shown good agreement with the corresponding experimental results with the pilot-line flow put off by the closed relief valve. Detailed analysis of the transient main flow leading to useful design conclusions has been provided in terms of different contour plots. For a given specification of the spool valve, a parametric study has provided the appropriate length of the pilot chamber, the stiffness of the spring in the relief valve, and the size of the fixed orifice in the pilot line.

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Figures

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Fig. 1

Pressure-regulating valve schematic

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Fig. 2

Two-dimensional axisymmetric main-flow domain

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Fig. 3

Structured quadrilateral mesh around variable opening

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Fig. 4

Flow domain showing two different zones of fluid

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Fig. 5

Overall solution scheme

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Fig. 6

Variation of mass flow rate with mesh size

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Fig. 7

Fully open pressure loss characteristics of the valve

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Fig. 8

Pressure contour in Pascal in the valve when P1 (kPa) is (a) 377, (b) 412, and (c) 481

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Fig. 9

Contour of stream function (kg/s) inside the valve when P1 (kPa) is (a) 377, (b) 412, and (c) 481

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Fig. 10

Velocity vector (m/s) inside the valve when P1 (kPa) is (a) 377, (b) 412, and (c) 481

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Fig. 11

Effect of change in orifice diameter on spool opening dynamics for step change of inlet pressure from 343 kPa to 377 kPa with k = 5.0 kN/m and lp = 15 mm

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Fig. 12

Effect of change in orifice diameter on spool opening dynamics for step change of inlet pressure from 343 kPa to 412 kPa with k = 5.0 kN/m and lp = 15 mm

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Fig. 13

Effect of change in orifice diameter on spool opening dynamics for step change from 343 kPa to 481 kPa with k = 5.0 kN/m and lp = 15 mm

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Fig. 14

Effect of change of orifice diameter on flow force for step change of inlet pressure from 343 kPa to 377 kPa with k = 5.0 kN/m and lp = 15 mm

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Fig. 15

Effect of change of orifice diameter on flow force for step change of inlet pressure from 343 kPa to 412 kPa with k = 5.0 kN/m and lp = 15 mm

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Fig. 16

Effect of change of orifice diameter on flow force for step change of inlet pressure from 343 kPa to 481 kPa with k = 5.0 kN/m and lp = 15 mm

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Fig. 17

Spool opening dynamics for step change of inlet pressure from 412 kPa to 618 kPa with k = 5.0 kN/m, do = 0.66 mm and lp = 13 mm

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Fig. 18

Effect of change in relief valve spring stiffness on spool opening dynamics for step change of inlet pressure from 343 kPa to 412 kPa with do = 0.66 mm and lp = 15 mm

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Fig. 19

Effect of change of relief valve spring stiffness on flow force for step change of inlet pressure from 343 kPa to 412 kPa with do = 0.66 mm and lp = 15 mm

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Fig. 20

Effect of pilot chamber length on spool opening dynamics for step change of inlet pressure from 343 kPa to 412 kPa with k = 5.0 kN/m and do = 0.66 mm

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Fig. 21

Effect of pilot chamber length on flow force for step change of inlet pressure from 343 kPa to 412 kPa with k = 5.0 kN/m and do = 0.66 mm

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