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Abstract
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Article Information:
Decay of Temperature Fluctuations in Homogeneous Turbulence Before the Final Period in a Rotating System
M.H.U. Molla, M.A.K. Azad and M.Z. Rahman
Corresponding Author: M.A.K. Azad
Submitted: April 23, 2012
Accepted: May 23, 2012
Published: June 30, 2012 |
Abstract:
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Using deissler’s method we have studied the decay of temperature fluctuations in homogeneous
turbulence before the final period in rotating system and have considered correlations between fluctuating
quantities at two and three point. The equations for two and three point correlation in a rotating system is
obtained and the set of equations is made to determinate by neglecting the forth order correlation in
comparison to the second and third order correlations. For solving the correlation equations are converted
to spectral form by taking their Fourier transform. Finally integrating the energy spectrum over all wave
numbers, the energy decay law of temperature fluctuations in homogeneous turbulence before the final
period in presence of coriolis force is obtained in the form T2=A (t-t0)-3/2 + B exp(-2εmij Ωm)(t – t0)-5
where, T2 is the total “energy” (the mean square of the temperature fluctuations), t is the time and A and t0
are constants determined by initial conditions. The constant B depends on both initial conditions and the
fluid Prandtl number. For large times the last term becomes negligible, leaving the -3/2 power decay law
for the final period previously found by Corrsin (1951).
Key words: Homogeneous turbulence, rotating system, temperature fluctuations, , , ,
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Abstract
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Cite this Reference:
M.H.U. Molla, M.A.K. Azad and M.Z. Rahman, . Decay of Temperature Fluctuations in Homogeneous Turbulence Before the Final Period in a Rotating System. Research Journal of Mathematics and Statistics, (2): 45-51.
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ISSN (Online): 2040-7505
ISSN (Print): 2042-2024 |
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