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Content
Volume 31 (2024)
Volume 31, Issue 2 (In progress)
Pg 63 - 92 (December 2024)
Volume 31, Issue 1
Pg 1 - 61 (June 2024)
Volume 30 (2023)
Volume 30, Issue 2
Pg 107 - 185 (December 2023)
Volume 30, Issue 1
Pg 1 - 105 (June 2023)
Volume 29 (2022)
Volume 29,
Pg 1 - 58 (December 2022)
Volume 28 (2022)
Volume 28,
Pg 1 - 58 (June 2022)
Volume 27 (2021)
Volume 27, Issue 2
Pg 67 - 90 (December 2021)
Volume 27, Issue 1
Pg 1 - 65 (September 2021)
Volume 26 (2021)
Volume 26, Issue 2
Pg 85 - 140 (June 2021)
Volume 26, Issue 1
Pg 1 - 84 (March 2021)
Volume 25 (2020)
Volume 25, Issue 2
Pg 67 - 140 (October 2020)
Volume 25, Issue 1
Pg 1 - 66 (July 2020)
Volume 24 (2020)
Volume 24, Issue 1-2
Pg 1 - 55 (April 2020)
Volume 23 (2019)
Volume 23, Issue 2
Pg 119 - 214 (October 2019)
Volume 23, Issue 1
Pg 1 - 118 (July 2019)
Volume 22 (2019)
Volume 22, Issue 2
Pg 101 - 204 (April 2019)
Volume 22, Issue 1
Pg 1 - 100 (January 2019)
Volume 21 (2018)
Volume 21, Issue 4
Pg 389 - 587 (October 2018)
Volume 21, Issue 3
Pg 279 - 388 (July 2018)
Volume 21, Issue 2
Pg 127 - 278 (April 2018)
Volume 21, Issue 1
Pg 1 - 125 (January 2018)
Volume 20 (2017)
Volume 20, Issue 4
Pg 457 - 625 (October 2017)
Volume 20, Issue 3
Pg 335 - 456 (July 2017)
Volume 20, Issue 2
Pg 211 - 334 (April 2017)
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Pg 1 - 209 (January 2017)
Volume 19 (2016)
Volume 19, Issue 4
Pg 725 - 937 (October 2016)
Volume 19, Issue 3
Pg 489 - 723 (July 2016)
Volume 19, Issue 2
Pg 203 - 488 (April 2016)
Volume 19, Issue 1
Pg 1 - 201 (January 2016)
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Volume 18, Issue 2
Pg 163 - 343 (October 2015)
Volume 18, Issue 1
Pg 1 - 162 (July 2015)
Volume 17 (2015)
Volume 17, Issue 2
Pg 135 - 283 (April 2015)
Volume 17, Issue 1
Pg 1 - 134 (January 2015)
Volume 16 (2014)
Volume 16, Issue 2
Pg 163 - 251 (October 2014)
Volume 16, Issue 1
Pg 1 - 98 (July 2014)
Volume 15 (2014)
Volume 15, Issue 2
Pg 101 - 208 (April 2014)
Volume 15, Issue 1
Pg 1 - 100 (January 2014)
Volume 14 (2013)
Volume 14, Issue 2
Pg 147 - 283 (October 2013)
Volume 14, Issue 1
Pg 1 - 145 (July 2013)
Volume 13 (2013)
Volume 13, Issue 2
Pg 75 - 156 (April 2013)
Volume 13, Issue 1
Pg 1 - 74 (January 2013)
Volume 12 (2012)
Volume 12, Issue 2
Pg 81 - 147 (October 2012)
Volume 12, Issue 1
Pg 1 - 80 (July 2012)
Volume 11 (2012)
Volume 11, Issue 2
Pg 73 - 161 (April 2012)
Volume 11, Issue 1
Pg 1 - 72 (January 2012)
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Volume 10, Issue 2
Pg 79 - 169 (October 2011)
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Pg 1 - 77 (July 2011)
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Volume 9, Issue 2
Pg 77 - 149 (April 2011)
Volume 9, Issue 1
Pg 1 - 76 (January 2011)
Volume 8 (2010)
Volume 8, Issue 2
Pg 99 - 211 (October 2010)
Volume 8, Issue 1
Pg 1 - 97 (July 2010)
Volume 7 (2010)
Volume 7, Issue 2
Pg 81 - 188 (April 2010)
Volume 7, Issue 1
Pg 1 - 80 (January 2010)
Volume 6 (2009)
Volume 6, Issue 2
Pg 103 - 195 (October 2009)
Volume 6, Issue 1
Pg 1 - 101 (July 2009)
Volume 5 (2009)
Volume 5, Issue 2
Pg 107 - 218 (April 2009)
Volume 5, Issue 1
Pg 1 - 106 (January 2009)
Volume 4 (2008)
Volume 4, Issue 2
Pg 117 - 228 (October 2008)
Volume 4, Issue 1
Pg 1 - 115 (July 2008)
Volume 3 (2008)
Volume 3, Issue 2
Pg 105 - 237 (April 2008)
Volume 3, Issue 1
Pg 1 - 103 (January 2008)
Volume 2 (2007)
Volume 2, Issue 2
Pg 117 - 238 (October 2007)
Volume 2, Issue 1
Pg 1 - 115 (July 2007)
Volume 1 (2007)
Volume 1, Issue 2
Pg 101 - 205 (April 2007)
Volume 1, Issue 1
Pg 1 - 100 (January 2007)
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Advances and Applications in Fluid Mechanics
Advances and Applications in Fluid Mechanics
Volume 5, Issue 1, Pages 41 - 67 (January 2009)
ONE EXACTLY SOLUBLE MODEL IN ISOTROPIC TURBULENCE
Z. Ran (P. R. China)
Abstract:
The starting point for this paper lies in the results obtained by Sedov [25] for isotropic turbulence with the self-preserving hypothesis. A careful consideration of the mathematical structure of the Karman-Howarth equation leads to an exact analysis of all possible cases and to all admissible solutions of the problem. This paper revisits this interesting problem from a new point of view. Firstly, new solutions are obtained. Based on these exact solutions, some physically significant consequences of recent advances in the theory of self-preserved homogenous statistical solution of the Navier-Stokes equations are presented. New results could be obtained for the analysis on turbulence features, such as the scaling behavior, the spectrum, and also the large scale, as well as the small scale dynamics. The general energy spectra and their behavior in different wave number range are investigated. Extensive comparisons are made between these solutions and previous work.
Keywords and phrases:
isotropic turbulence, Karman-Howarth equation, exact solution.
Communicated by Shahrdad G. Sajjadi
Number of Downloads:
316 |
Number of Views:
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P-ISSN: 0973-4686
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