Mixed boundary task is solved for unstable of heat conduction of hot liquid stream, transferring into infinitely large length radial-circular canal. Is written equation of energy for moving of liquid in cilindric coordinates. Is taken into consideration independence of liquid’s temperature from tangential coordinate j . Heat transfer along axis by heat heat conductivity and convection, along axis - by heat conductivity is taken into account. The solution of task is found by successive application of one-sided Laplace’s transformation and infinite of Hankel’s transformation. In result was obtained correlation for calculation of temperature field and local heat stream on the wall of canal. The solution is written by exponential and bessel’s functions. Is used bessel’s functions first and second kind real argument of order zero and one.
температурное поле, удельный тепловой поток, радиально-кольцевой канал, краевая задача, собственные значения, собственные функции, бесселевы функции, temperature field, specific stream of heat, radial-circular canal, boundary task, characteristic numbers, characteristic functions, bessel’s functions
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