Applied Physics and Mathematics Annotation << Back TRANSCILLYATORY EFFECTS IN A MEDIUM WITH CELLULAR TWODIMENSIONAL STATIONARY FLOWS A.I. FILIPPOV The paper discusses heat transfer phenomena induced by cellular currents (or convective cells) two-dimensional continuous medium. The velocity field is assumed spatially periodic and changing harmonic spatial coordinates. Convective cells are considered to be immobile. To determine the regular flow of heat problem of the temperature field by using generalized functions is reduced to the equivalent integral equation, which expresses the temperature field as a function of the gradient. Regular heat flux is determined by averaging the functional convective flow in the spatial coordinate. It has been shown that the presence of stationary currents in the cellular environment with a temperature gradient gives rise to a regular flow of additional heat, which is proportional to said gradient. This phenomenon is called transсillatory (transfer + oscillator) effect, i.e. heat transfer due to oscillatory component due to the motion of fluid particles along closed trajectories. It is shown that arises in this anisotropy is due to the geometry of the cells, more precisely their degree of elongation, and does not depend on the thermal anisotropy of the carrier medium. Found that the coefficient transcillatory transfer proportional to the square of cell size and inversely proportional to the thermal diffusivity of the carrier medium. Keywords: transcillatory heat transfer, convective cell, anisotropy, thermal diffusivity, and two-dimensional cellular steadystate thermal transcillator. DOI: 10.25791/pfim.02.2022.1223 Pp. 03-09.