Heat Transfer in Isotropic Turbulence

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Abstract
The postulated problem of heat transfer in a stationary isotropic turbulence under constant small temperature gradient is examined from both Lagrangian and Eulerian points of view. By combination of Taylor's ``diffusion by continuous movements'' and a new temperature fluctuation equation somewhat like the wellknown turbulent energy equation, it is possible to obtain (1) an expression for the turbulent heat transfer coefficient which depends only on velocity field, and (2) an approximate expression for the corresponding correlation coefficient which depends only on velocity field and fluid physical properties. A preliminary result is given for ``turbulent Prandtl Number'' in a homogeneous shear flow in terms of the shear and heat transfer correlation coefficients.

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