Vol 6 - Landau+Lifschitz - Fluid Mechanics · Problem 54.3

THERMAL CONDUCTION IN FLUIDS

Physics — Landau & Lifshitz · heat-transfer-boundary-layer

Problem

Derive a relation between the local correlation functions BTT=⟨(T2−T1)2⟩,BiTT=⟨(v2i−v1i)(T2−T1)2⟩B_{TT} = \langle (T_2 - T_1)^2 \rangle, \quad B_{iTT} = \langle (v_{2i} - v_{1i})(T_2 - T_1)^2 \rangle in a non-uniformly heated turbulent flow (A. M. Yaglom 1949).

Related theory

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