A nonclassical model of turbulent heat transfer

A model of turbulent heat transfer is proposed for solving the problem of the temperature profile in a plane turbulent channel flow for a given difference between the temperature at the wall and of the incoming flow for steady velocity profile and constant wall temperature. The model is essentially one in which fields of spins of lower order interact with fields of spins of higher order, whereby there takes place a cascade process of increasing oscillations of spin of high order with velocity. The dissipation of fine turbulence structure is proportional to the third power of the velocity. Heat flux of spin of a given order is proportional to the temperature gradient and the local spin intensity. The additional heat flux due to turbulent mixing is obtained by summing over all spin orders. The local energy balance is expressed in the form of the first law of thermodynamics. The resulting eddy transport equation, spin law, turbulence equation, and heat transfer equation were solved by a variational method.