Engineering Physics Annotation << Back Thermophoresis of a Nanoparticle-Newtonian BaseLiquid System in a Flat Horizontal Channel Withan Upper "Hot" and a Bottom "Cold" Wall Ryazhskikh A.V., Slyusarev M.I., Gromov Yu.Yu. Based on the equation of transfer in nanofl uids in accordance with the two-phase Euler-Euler approach, a mathematical model of thermal diffusion transfer of nanoparticles was synthesized within the framework of the Soret law for a stationary base fluid in a flat multi-temperature channel. Physical linearization in the form of insignificance of free convective fl ow allowed us to formulate a semi-conjugate heat and mass transfer problem with the conditions of adhesion of nanoparticles on wetted surfaces, the solution of which was obtained in analytical form using a combined application of the semi-infinite integral Laplace transform and the finite integral sine transform. A computational experiment confirmed the physicality of the adopted assumptions and the correctness of the obtained results, which do not contradict those known in the literature on this topic. Keywords: nanoparticle; nanofluid; thermophoresis; temperature field; concentration field; analytical solution. DOI: 10.25791/infizik.7.2025.1489 Pp. 14-18.