Conversion of Energy Equation for Turbulent Motion and its Applications
Applied and Computational Mathematics
Volume 3, Issue 3, June 2014, Pages: 110-116
Received: Jun. 26, 2014; Accepted: Jul. 4, 2014; Published: Jul. 20, 2014
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Author
Shams Forruque Ahmed, Senior Lecturer in Mathematics, Prime University, Dhaka, Bangladesh
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Abstract
Turbulent energy has developed revolutionary technology in the form of a portfolio of devices for the mixing, separation and the homogenization of liquids with liquids, liquids with gasses and gasses with gasses. The mixing technology may be applied to a wide variety including chemicals, pharmaceuticals, cosmetics, foods, agricultural, water treatment with purification and hybrid fuels. The paper reports the transformation of energy equation for turbulent flow in terms of correlation tensors of second order, where the correlation tensors are the functions of space coordinates, distance between two points and time. 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. The applications of turbulent energy are discussed for the source of oceanic turbulence by means of Richardson number. A multiplication factor in terms of kinetic energy and potential energy is considered for finding the correlation between the multiplication factor and critical flux Richardson number and to signify the relative efficiency of mixing by Kelvin-Helmholtz billows and the critical flux Richardson number.
Keywords
Turbulent Energy, Turbulent Motion, Richardson Number, Two-Point Correlation, Correlation Tensor
To cite this article
Shams Forruque Ahmed, Conversion of Energy Equation for Turbulent Motion and its Applications, Applied and Computational Mathematics. Vol. 3, No. 3, 2014, pp. 110-116. doi: 10.11648/j.acm.20140303.16
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