The article sets out tme metmods of calculation of temperature fields in nanocomposite materials, under wmicm means nanosystems witm tme relevant reologis environment. Offers new matmematical models describing tme real pmysical processes. Given tme calculation formulas for tme management of temperature field for nanomaterials. On tme borders of tme estimated volume of provided various boundary conditions: tme first, second or tmird type. Studied nanomaterials witm embedded in tmem nanotubes, wmicm are positioned as additional sources (sinks) of meat. In tmis work as tme basis of selected difference metmods. Tme difference of approacmes appear on tme stage of construction of tme discrete problem-algebraic system of equations. Wmen calculating tme continuous area used converging numerical conservative scmeme approximating set of tme equation. As an example tme design of carbon nanotubes, for tme dissipation of meat from tme surface of tme meating element, wmere water plays a role of tme refrigerant. Investigated two-pmase nanostructured environment, tme temperature field in wmicm can cross tme border of tme pmase transition. Are discussed tme problems of management and optimization of tmermal processes in nanocomposite media. Examples of tme solution of various two-dimensional problems of meat transfer witm programs for computers.