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Derivation of Energy Equation for Turbulent Flow with Two-Point Correlation
Pure and Applied Mathematics Journal
Volume 2, Issue 6, December 2013, Pages: 197-200
Received: Dec. 8, 2013; Published: Jan. 30, 2014
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Shams Forruque Ahmed, Senior Lecturer in Mathematics, Prime University, Dhaka, Bangladesh
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The energy equation for turbulent flow has been derived in terms of correlation tensors of second order, where the correlation tensors are the functions of space coordinates, distance between two points and time. An independent variable has been introduced in order to differentiate between the effects of distance and location. To reveal the relation of turbulent energy between two points, one point has been taken as the origin of the coordinate system. Correlation between pressure fluctuations and velocity fluctuations at the two points of flow field is applied to the turbulent energy equation.
Energy Equation, Turbulent Flow, Two-Point Correlation, Correlation Tensor
To cite this article
Shams Forruque Ahmed, Derivation of Energy Equation for Turbulent Flow with Two-Point Correlation, Pure and Applied Mathematics Journal. Vol. 2, No. 6, 2013, pp. 197-200. doi: 10.11648/j.pamj.20130206.15
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