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New Sedov-Type Solution of Isotropic Turbulence |
| RAN Zheng |
| Shanghai Institute of Applied Mathematics and Mechanics, hanghai University, Shanghai 200072 |
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| Cite this article: |
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RAN Zheng 2008 Chin. Phys. Lett. 25 4318-4320 |
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Abstract The starting point lies in the results obtained by Sedov (1944) for isotropic turbulence with a self-preserving hypothesis. A careful consideration of the mathematical structure of the Karman--Howarth equation leads to an exact analysis of all cases possible and to all admissible solutions of the problem. I study this interesting problem from a new point of view. New solutions are obtained. Based on these exact solutions, some physical significant consequences of recent advances in the theory of self-preserved homogeneous statistical solution of the Navier--Stokes equations are presented
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| Keywords:
47.27.Gs
47.27.Jv
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Received: 11 February 2008
Published: 27 November 2008
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| PACS: |
47.27.Gs
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(Isotropic turbulence; homogeneous turbulence)
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47.27.Jv
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(High-Reynolds-number turbulence)
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