MATHEMATICAL MODELLING OF TECHNOLOGICAL PROCESSES AND SYSTEMS

Solution of the system of equations of energy and mass transfer with account of volumetric heat sources

  • 1 Kazan State Power Engineering University, Russia

Abstract

The paper considers an analytical method for solving systems of equations of conjugate non-stationary heat and mass transfer with account of volumetric negative or positive heat sources (and steam generation aswell). The obtained data can be used to find integral kinetic dependencies of heat and mass exchange processes, analytical formulas for calculating heat and mass transfer coefficients and other derivative quantities necessary for engineering calculations of processes and devices in chemical technology, biotechnology, industrial heat power engineeringand other industries.

Keywords

References

  1. Sadykov R.A. Transfer processes during short-term phase contact. Kazan, KGEU, 2004, -176 p.
  2. Matveyev N.M. Methods of integration of ordinary differential equations. M., 1974, -564 p.
  3. Lykov A.V., Mikhailov Yu.A. Theory of heat and mass transfer. M.-L.: Gosenergoizdat, 1963. 536 p.
  4. Polyanin A.D., Zaitsev V.F. Handbook of nonlinear equations of mathematical physics. M.: FIZMATLIT, 2002, 432 p.
  5. Tikhonov A.N., Samarskii A.A. Equations of mathematical physics. M.: Nauka, 1977, 736 p.
  6. Migunov V.V., Sadykov R.A. Characteristics of drying processes during short-term contact of wet material with a heating wall.// TOHT, 1985, Vol.19, No. 1, 103-105.
  7. Elsgolts L.I.E. Differential equations and calculus of variations (series: “Course of higher mathematics and mathematical physics”) Moscow: Nauka, 1969, 424 p.

Article full text

Download PDF