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Research Papers: Fundamental Issues and Canonical Flows

Numerical Simulation of Start-Up Jets in a Mixing Chamber

[+] Author and Article Information
Chenzhou Lian1

 Staff Scientist IBM Hudson Valley Research Park, Hopewell Junction, NY 12533, e-mail: chenzhoulian@gmail.com

Dmytro M. Voytovych

 Sr Eng/Sci United Technologies Research Center, East Hartford, CT 06108

Guoping Xia

 Senior Research Associate School of Mechanical Engineering, Purdue University, West Lafayette, IN 47906

Charles L. Merkle

 Reilly Professor of Engineering Purdue University, West Lafayette, IN 47906

1

Corresponding author.

J. Fluids Eng 133(7), 071203 (Jul 08, 2011) (14 pages) doi:10.1115/1.4004368 History: Received September 01, 2010; Revised June 05, 2011; Accepted June 06, 2011; Published July 08, 2011; Online July 08, 2011

Numerical simulations of the transient flow of helium injected into an established background flow of nitrogen were carried out to identify the dominant features of the transient mixing process between these two dissimilar gases. The geometry of interest is composed of two helium slots on either side of a central nitrogen channel feeding into a rectangular mixing chamber that was experimentally designed to give “two-dimensional” flow. Simulations were accomplished on both two- and three-dimensional grids. The 3D solutions employ an unsteady DES approach, while the 2D results are based upon a reduced dimension, “DES-like” method. Results are compared with quantitative experimental measurements of species distributions both in terms of contour plots and local point measurements. The 2D solutions give a reasonable qualitative picture of the transient mixing process in the center of the chamber while also providing quantitative estimates of representative characteristic times for guiding the 3D calculations. The 3D solutions give a reasonable approximation to span-wise variations observed in the experiment.

Copyright © 2011 by American Society of Mechanical Engineers
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Figures

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Figure 1

3D view of mixing chamber together with injector channels

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Figure 2

Cross-sectional view of inlet channels and mixing chamber

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Figure 3

Details of the computational grid taken on the midplane of the chamber highlighting the exit of injector (left), and the zoom in red dashed region (right)

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Figure 4

Instantaneous contours of “injected” nitrogen in the mixing chamber filled initially with “original” nitrogen at time moments t = 2, 3, 5, 10, and 20 ms (2D)

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Figure 5

Instantaneous contours of “original” nitrogen left inside the mixing chamber at time moments t = 30 and 40 ms

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Figure 6

Time variation of chamber pressure from start of computation to beginning of stationary portion of solution

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Figure 7

Snapshot of Mach number contours inside the mixing chamber at time moments t = 40 ms

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Figure 8

Snapshot of “injected” nitrogen contours inside the injector and mixing chamber at time moments t = 40 ms

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Figure 9

Sequence of time snapshots of mole fraction of helium injected into transient nitrogen background flow

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Figure 10

Nitrogen concentration contours at different times: (a) t = 34 ms, (b) t = 35 ms, (c) t = 36 ms, (d) t = 48 ms. Top: Experiment; middle: 2D computation; bottom: midplane of 3D computation

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Figure 11

Schematic of locations referred for the baseline case in the first quarter of mixing chamber

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Figure 12

Comparison between experiments and computations of nitrogen mole fraction at four locations

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Figure 13

Instantaneous contours and iso-surface of “injected” nitrogen in the mixing chamber at times, t = 2, 5, 10, and 20 ms

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Figure 14

Instantaneous contours and iso-surface of “original” nitrogen left inside the mixing chamber at different time moments. 3D simulation.

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Figure 15

Time variation of chamber pressure from start of computation to beginning of stationary portion of solution. 3D simulation.

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Figure 16

Sequence of time snapshots of mole fraction of helium injected into transient nitrogen background flow. 3D simulation.

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Figure 17

Comparisons of experiment (top) and computational Nitrogen concentration contours (bottom) at time moment t = 37 ms. Computational results taken from 3D simulation at four span locations.

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Figure 18

Comparison between experiments and computations of nitrogen mole fraction at four locations. Computational results taken from 3D simulation at 50% span location.

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