Effects of Rectangular Nozzle Arrangement Interval on Characteristics of Multiple Rectangular Jets in a Line with Constant Aspect Ratio

Shigetaka Fujita; Takashi Harima; Tsukuru Kunihiro

doi:doi:10.11648/j.fm.20180402.11

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Effects of Rectangular Nozzle Arrangement Interval on Characteristics of Multiple Rectangular Jets in a Line with Constant Aspect Ratio

Shigetaka Fujita, Takashi Harima, Tsukuru Kunihiro

Published in Fluid Mechanics (Volume 4, Issue 2)

Received: 14 May 2018 Accepted: 25 June 2018 Published: 26 July 2018

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Abstract

The mean velocity field of turbulent free jet issuing from multiple rectangular nozzles (Rectangular nozzle aspect ratio L/d=12.5) with semicircular shaped end, which are arranged parallel to each other in a line, has been investigated, experimentally and systematically. The aim of this study is to examine characteristics of the mean velocity field of multiple rectangular jets and to clarify an effect of rectangular nozzle arrangement interval S/d (=25.00, 18.75, 12.50 and 6.25) on characteristics of both velocity and length scales in the mean velocity field, then to furnish a data of multiple rectangular jets in a line for the engineering design. Measurements were made using an X-array Hot-Wire Probe (5.0μm in diameter, 1.0mm effective length) and linearized constant temperature anemometers. Signals from the anemometers were passed through low-pass filters and sampled using an A/D converter. The processing of the signals was done by a personal computer. The acquisition time of the signals was from 60 to 120 seconds. The Reynolds number based on the nozzle width d and the exit mean velocity U_e (@39 m/s) was kept constant at 25000, throughout this experiment. From this experiment, it was revealed that the potential core length of U_ox/U_e on the x axis for all S/d cases existed until the section of x/d=7 which was the same with that of the single rectangular jet (Aspect Ratio: L/d=12.50) and the streamwise section indicating the two-dimensional jet decay (~(x/d)^-0.5) moved toward the upstream region with the decreasing of S/d. The streamwise variation of the velocity scale U_ox/U_e on the x axis showed the same decrease line with that of the two-dimensional jet from each downstream section, and also the length scale b_y/D₂ on the long axis of rectangular nozzle indicated the same increase line with that of the two-dimensional jet from each downstream section, even if the rectangular nozzle arrangement interval S/d was different. Both of streamwise locations indicating the same decreasing characteristics of the velocity scale U_ox/U_e on the x axis and the same increasing characteristics of the length scale b_y/d on the y axis with those of the two-dimensional jet, can be calculated approximately by two empirical formulas for any S/d case.

Published in	Fluid Mechanics (Volume 4, Issue 2)
DOI	10.11648/j.fm.20180402.11
Page(s)	38-47
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2018. Published by Science Publishing Group

Keywords

Multiple Rectangular Jets in a Line, Three-Dimensional Jet, Mean Velocity Field, Nozzle Arrangement Interval, Nozzle Aspect Ratio, Secondary Flow

References

[1]	Lilley, G. M., Aerodynamic noise – a review of the contributions to jet noise research at the College of Aeronautics, Cranfield 1949-1961 (together with some recent conclusions), Aeronautical Journal, Vol. 88, No. 875, pp. 213-223, 1984.
[2]	Bevilaqua, P. M., Evaluation of hyper mixing for thrust augmenting ejectors, Journal of Aircraft, Vol. 11, No. 6, pp. 348-354, 1974.
[3]	Lummus, J. R., Criticality of engine exhaust simulations on VSTOL model-measured ground effects, Journal of Aircraft, Vol. 18, No. 4, pp. 245-251, 1981.
[4]	Yu, S., Japanese patent disclosure 2003-268523 (2003) (in Japanese).
[5]	Krothapalli, A., Baganoff, D. and Karamcheti, K., Development and structure of a rectangular jet in a multiple jet configuration, AIAA Journal, Vol. 18, No. 8, pp. 945-950, 1980.
[6]	Marsters, G. F., Measurements in the flowfield of a linear array of rectangular jets, AIAA Journal, Vol. 17, No. 11, pp. 774-780, 1980.
[7]	Krothapalli, A., Baganoff, D. and Karamcheti, K., Partially confined multiple jet mixing, AIAA Journal, Vol.19, No.3, pp.324-328, 1980.
[8]	Mostafa, A. A., Khalifa, M. M. and Shabana, E. A., Experimental and numerical investigation of multiple rectangular jets, Experimental Thermal and Fluid Science, Vol. 21, pp. 171-178, 2000.
[9]	Li, H., Anand, N. K. and Hassan, Y. A., Computational study of turbulent flow interaction between twin rectangular jets, International Journal of Heat and Mass Transfer, Vol. 119, pp. 752-767, 2018.
[10]	Meyer, M. t., Mudawar, I., Boyack, C. E. and Hale, C. A., Single-phase and two-phase cooling with an array of rectangular jets, International Journal of Heat and Mass Transfer, Vol. 49, pp. 17-29, 2006.
[11]	Knystautas, R., The turbulent jet from a series of holes in line, Aeronautical Quarterly, Vol. 15, pp. 1-28, 1964.
[12]	Pani, B. and Dash, R., Three-dimensional single and multiple free jets, Journal of Hydraulic Engineering, Vol. 109, No. 2, pp. 254-269, 1983.
[13]	Fujita, S., Harima, T. and Osaka, H., Turbulent jets issuing from rectangular nozzles with a rectangular notch at the midspan, Fluid Structure Interaction V, pp. 61-70, 2009.
[14]	Quinn, W. R. and Militzer, J, Experimental and numerical study of a turbulent free square jet, Physics of Fluids, Vol. 31, No. 5, pp. 1017-1025, 1988.
[15]	Quinn, W., On mixing in an elliptic turbulent free jet, Physics of Fluids, Vol. 1, No. 10, pp. 1716-1722, 1989.
[16]	Marsters, G, F. and Fotheringham, J., The influence of aspect ratio on incompressible turbulent flows from rectangular slots, Aeronautical Quarterly, Vol. 31, Part 4. pp. 285-305, 1980.
[17]	Krothapalli, A., Baganoff, D. and Karamcheti, K., On the mixing of a rectangular jet, Journal of Fluid Mechanics, Vol. 107, pp. 201-220, 1981.
[18]	Quinn, W, R., Passive near-field mixing enhancement in rectangular jet flows, AIAA Journal, Vol. 29, N0. 4, pp. 515-519, 1991.
[19]	Quinn, W, R., Turbulent free jet flows issuing from sharp-edged rectangular slots: The influence of slot aspect ratio, Experimental Thermal and Fluid Science, Vol. 5, pp. 203-215, 1992.

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APA Style

Shigetaka Fujita, Takashi Harima, Tsukuru Kunihiro. (2018). Effects of Rectangular Nozzle Arrangement Interval on Characteristics of Multiple Rectangular Jets in a Line with Constant Aspect Ratio. Fluid Mechanics, 4(2), 38-47. https://doi.org/10.11648/j.fm.20180402.11

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ACS Style

Shigetaka Fujita; Takashi Harima; Tsukuru Kunihiro. Effects of Rectangular Nozzle Arrangement Interval on Characteristics of Multiple Rectangular Jets in a Line with Constant Aspect Ratio. Fluid Mech. 2018, 4(2), 38-47. doi: 10.11648/j.fm.20180402.11

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AMA Style

Shigetaka Fujita, Takashi Harima, Tsukuru Kunihiro. Effects of Rectangular Nozzle Arrangement Interval on Characteristics of Multiple Rectangular Jets in a Line with Constant Aspect Ratio. Fluid Mech. 2018;4(2):38-47. doi: 10.11648/j.fm.20180402.11

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@article{10.11648/j.fm.20180402.11,
  author = {Shigetaka Fujita and Takashi Harima and Tsukuru Kunihiro},
  title = {Effects of Rectangular Nozzle Arrangement Interval on Characteristics of Multiple Rectangular Jets in a Line with Constant Aspect Ratio},
  journal = {Fluid Mechanics},
  volume = {4},
  number = {2},
  pages = {38-47},
  doi = {10.11648/j.fm.20180402.11},
  url = {https://doi.org/10.11648/j.fm.20180402.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.fm.20180402.11},
  abstract = {The mean velocity field of turbulent free jet issuing from multiple rectangular nozzles (Rectangular nozzle aspect ratio L/d=12.5) with semicircular shaped end, which are arranged parallel to each other in a line, has been investigated, experimentally and systematically. The aim of this study is to examine characteristics of the mean velocity field of multiple rectangular jets and to clarify an effect of rectangular nozzle arrangement interval S/d (=25.00, 18.75, 12.50 and 6.25) on characteristics of both velocity and length scales in the mean velocity field, then to furnish a data of multiple rectangular jets in a line for the engineering design. Measurements were made using an X-array Hot-Wire Probe (5.0μm in diameter, 1.0mm effective length) and linearized constant temperature anemometers. Signals from the anemometers were passed through low-pass filters and sampled using an A/D converter. The processing of the signals was done by a personal computer. The acquisition time of the signals was from 60 to 120 seconds. The Reynolds number based on the nozzle width d and the exit mean velocity Ue (@39 m/s) was kept constant at 25000, throughout this experiment. From this experiment, it was revealed that the potential core length of Uox/Ue on the x axis for all S/d cases existed until the section of x/d=7 which was the same with that of the single rectangular jet (Aspect Ratio: L/d=12.50) and the streamwise section indicating the two-dimensional jet decay (~(x/d)-0.5) moved toward the upstream region with the decreasing of S/d. The streamwise variation of the velocity scale Uox/Ue on the x axis showed the same decrease line with that of the two-dimensional jet from each downstream section, and also the length scale by/D2 on the long axis of rectangular nozzle indicated the same increase line with that of the two-dimensional jet from each downstream section, even if the rectangular nozzle arrangement interval S/d was different. Both of streamwise locations indicating the same decreasing characteristics of the velocity scale Uox/Ue on the x axis and the same increasing characteristics of the length scale by/d on the y axis with those of the two-dimensional jet, can be calculated approximately by two empirical formulas for any S/d case.},
 year = {2018}
}

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TY  - JOUR
T1  - Effects of Rectangular Nozzle Arrangement Interval on Characteristics of Multiple Rectangular Jets in a Line with Constant Aspect Ratio
AU  - Shigetaka Fujita
AU  - Takashi Harima
AU  - Tsukuru Kunihiro
Y1  - 2018/07/26
PY  - 2018
N1  - https://doi.org/10.11648/j.fm.20180402.11
DO  - 10.11648/j.fm.20180402.11
T2  - Fluid Mechanics
JF  - Fluid Mechanics
JO  - Fluid Mechanics
SP  - 38
EP  - 47
PB  - Science Publishing Group
SN  - 2575-1816
UR  - https://doi.org/10.11648/j.fm.20180402.11
AB  - The mean velocity field of turbulent free jet issuing from multiple rectangular nozzles (Rectangular nozzle aspect ratio L/d=12.5) with semicircular shaped end, which are arranged parallel to each other in a line, has been investigated, experimentally and systematically. The aim of this study is to examine characteristics of the mean velocity field of multiple rectangular jets and to clarify an effect of rectangular nozzle arrangement interval S/d (=25.00, 18.75, 12.50 and 6.25) on characteristics of both velocity and length scales in the mean velocity field, then to furnish a data of multiple rectangular jets in a line for the engineering design. Measurements were made using an X-array Hot-Wire Probe (5.0μm in diameter, 1.0mm effective length) and linearized constant temperature anemometers. Signals from the anemometers were passed through low-pass filters and sampled using an A/D converter. The processing of the signals was done by a personal computer. The acquisition time of the signals was from 60 to 120 seconds. The Reynolds number based on the nozzle width d and the exit mean velocity Ue (@39 m/s) was kept constant at 25000, throughout this experiment. From this experiment, it was revealed that the potential core length of Uox/Ue on the x axis for all S/d cases existed until the section of x/d=7 which was the same with that of the single rectangular jet (Aspect Ratio: L/d=12.50) and the streamwise section indicating the two-dimensional jet decay (~(x/d)-0.5) moved toward the upstream region with the decreasing of S/d. The streamwise variation of the velocity scale Uox/Ue on the x axis showed the same decrease line with that of the two-dimensional jet from each downstream section, and also the length scale by/D2 on the long axis of rectangular nozzle indicated the same increase line with that of the two-dimensional jet from each downstream section, even if the rectangular nozzle arrangement interval S/d was different. Both of streamwise locations indicating the same decreasing characteristics of the velocity scale Uox/Ue on the x axis and the same increasing characteristics of the length scale by/d on the y axis with those of the two-dimensional jet, can be calculated approximately by two empirical formulas for any S/d case.
VL  - 4
IS  - 2
ER  -

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Author Information

Shigetaka Fujita

Department of Mechanical and Electrical Engineering, National Institute of Technology Tokuyama College, Shunan, Japan
Takashi Harima

Department of Mechanical and Electrical Engineering, National Institute of Technology Tokuyama College, Shunan, Japan
Tsukuru Kunihiro

Hitachi Ltd., Kudamatsu, Japan

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Plain Text BibTeX RIS

APA Style

Shigetaka Fujita, Takashi Harima, Tsukuru Kunihiro. (2018). Effects of Rectangular Nozzle Arrangement Interval on Characteristics of Multiple Rectangular Jets in a Line with Constant Aspect Ratio. Fluid Mechanics, 4(2), 38-47. https://doi.org/10.11648/j.fm.20180402.11

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ACS Style

Shigetaka Fujita; Takashi Harima; Tsukuru Kunihiro. Effects of Rectangular Nozzle Arrangement Interval on Characteristics of Multiple Rectangular Jets in a Line with Constant Aspect Ratio. Fluid Mech. 2018, 4(2), 38-47. doi: 10.11648/j.fm.20180402.11

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AMA Style

Shigetaka Fujita, Takashi Harima, Tsukuru Kunihiro. Effects of Rectangular Nozzle Arrangement Interval on Characteristics of Multiple Rectangular Jets in a Line with Constant Aspect Ratio. Fluid Mech. 2018;4(2):38-47. doi: 10.11648/j.fm.20180402.11

Copy | Download

@article{10.11648/j.fm.20180402.11,
  author = {Shigetaka Fujita and Takashi Harima and Tsukuru Kunihiro},
  title = {Effects of Rectangular Nozzle Arrangement Interval on Characteristics of Multiple Rectangular Jets in a Line with Constant Aspect Ratio},
  journal = {Fluid Mechanics},
  volume = {4},
  number = {2},
  pages = {38-47},
  doi = {10.11648/j.fm.20180402.11},
  url = {https://doi.org/10.11648/j.fm.20180402.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.fm.20180402.11},
  abstract = {The mean velocity field of turbulent free jet issuing from multiple rectangular nozzles (Rectangular nozzle aspect ratio L/d=12.5) with semicircular shaped end, which are arranged parallel to each other in a line, has been investigated, experimentally and systematically. The aim of this study is to examine characteristics of the mean velocity field of multiple rectangular jets and to clarify an effect of rectangular nozzle arrangement interval S/d (=25.00, 18.75, 12.50 and 6.25) on characteristics of both velocity and length scales in the mean velocity field, then to furnish a data of multiple rectangular jets in a line for the engineering design. Measurements were made using an X-array Hot-Wire Probe (5.0μm in diameter, 1.0mm effective length) and linearized constant temperature anemometers. Signals from the anemometers were passed through low-pass filters and sampled using an A/D converter. The processing of the signals was done by a personal computer. The acquisition time of the signals was from 60 to 120 seconds. The Reynolds number based on the nozzle width d and the exit mean velocity Ue (@39 m/s) was kept constant at 25000, throughout this experiment. From this experiment, it was revealed that the potential core length of Uox/Ue on the x axis for all S/d cases existed until the section of x/d=7 which was the same with that of the single rectangular jet (Aspect Ratio: L/d=12.50) and the streamwise section indicating the two-dimensional jet decay (~(x/d)-0.5) moved toward the upstream region with the decreasing of S/d. The streamwise variation of the velocity scale Uox/Ue on the x axis showed the same decrease line with that of the two-dimensional jet from each downstream section, and also the length scale by/D2 on the long axis of rectangular nozzle indicated the same increase line with that of the two-dimensional jet from each downstream section, even if the rectangular nozzle arrangement interval S/d was different. Both of streamwise locations indicating the same decreasing characteristics of the velocity scale Uox/Ue on the x axis and the same increasing characteristics of the length scale by/d on the y axis with those of the two-dimensional jet, can be calculated approximately by two empirical formulas for any S/d case.},
 year = {2018}
}

Copy | Download

TY  - JOUR
T1  - Effects of Rectangular Nozzle Arrangement Interval on Characteristics of Multiple Rectangular Jets in a Line with Constant Aspect Ratio
AU  - Shigetaka Fujita
AU  - Takashi Harima
AU  - Tsukuru Kunihiro
Y1  - 2018/07/26
PY  - 2018
N1  - https://doi.org/10.11648/j.fm.20180402.11
DO  - 10.11648/j.fm.20180402.11
T2  - Fluid Mechanics
JF  - Fluid Mechanics
JO  - Fluid Mechanics
SP  - 38
EP  - 47
PB  - Science Publishing Group
SN  - 2575-1816
UR  - https://doi.org/10.11648/j.fm.20180402.11
AB  - The mean velocity field of turbulent free jet issuing from multiple rectangular nozzles (Rectangular nozzle aspect ratio L/d=12.5) with semicircular shaped end, which are arranged parallel to each other in a line, has been investigated, experimentally and systematically. The aim of this study is to examine characteristics of the mean velocity field of multiple rectangular jets and to clarify an effect of rectangular nozzle arrangement interval S/d (=25.00, 18.75, 12.50 and 6.25) on characteristics of both velocity and length scales in the mean velocity field, then to furnish a data of multiple rectangular jets in a line for the engineering design. Measurements were made using an X-array Hot-Wire Probe (5.0μm in diameter, 1.0mm effective length) and linearized constant temperature anemometers. Signals from the anemometers were passed through low-pass filters and sampled using an A/D converter. The processing of the signals was done by a personal computer. The acquisition time of the signals was from 60 to 120 seconds. The Reynolds number based on the nozzle width d and the exit mean velocity Ue (@39 m/s) was kept constant at 25000, throughout this experiment. From this experiment, it was revealed that the potential core length of Uox/Ue on the x axis for all S/d cases existed until the section of x/d=7 which was the same with that of the single rectangular jet (Aspect Ratio: L/d=12.50) and the streamwise section indicating the two-dimensional jet decay (~(x/d)-0.5) moved toward the upstream region with the decreasing of S/d. The streamwise variation of the velocity scale Uox/Ue on the x axis showed the same decrease line with that of the two-dimensional jet from each downstream section, and also the length scale by/D2 on the long axis of rectangular nozzle indicated the same increase line with that of the two-dimensional jet from each downstream section, even if the rectangular nozzle arrangement interval S/d was different. Both of streamwise locations indicating the same decreasing characteristics of the velocity scale Uox/Ue on the x axis and the same increasing characteristics of the length scale by/d on the y axis with those of the two-dimensional jet, can be calculated approximately by two empirical formulas for any S/d case.
VL  - 4
IS  - 2
ER  -

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