Mathematical modeling and investigation of the process of thermal theatment of aluminum ingots on the basis of regulated convective heat transfer


Existing cooling technology of cylindrical aluminum ingots don’t provide the same speed of the temperature in all parts of the ingots. The most appropriate use for cooling of ingots special camera. Existing calculation methods and modes of cooling, which take into account the geometric characteristics of the charge and a cooling chamber, and would provide the same cooling rate in all parts of the bars are missing. Therefore, the authors addressed the issue of mathematical modeling of the process of cooling aluminum ingots on the basis of the regulated convective heat transfer. When developing mathematical models were formulated assumptions, mathematical and physical formulation of the problem. The mathematical model included the analytical model of heat transfer in the system aluminum ingots - cooling air, the system of differential equations, initial and boundary conditions. A mathematical model has allowed to carry out an analytical study of the cooling process with constant and variable operating conditions and design factors such as the speed of the cooling air, the diameter of the bars and the height of the channel between the bars. An analytical study has allowed to formulate the algorithm, providing a nominal speed of each cooling of the ingot in a horizontal row by controlled cooling. To prove the validity of the analytical model was performed experimental study. The discrepancy between experimental data and analytical values averaged 34%.

About the authors

A. S. Gorshenin

Samara State Technical University

Author for correspondence.

Russian Federation

Candidate of Science (Engineering)

V. E. Krivosheev

Samara State Technical University


Russian Federation

Candidate of Science (Engineering)


  1. Gorshenin A.S. Mathematical modeling of heat transfer in the cooling of a number of aluminium ingots // Vestnik of the Samara State Aerospace University. 2012. № 2(33). P. 179-183. (In Russ.)
  2. Gorshenin, A.S. Mathematical model cooling aluminum ingot after the homogenization annealing // Materials of international scientific-practical conference «Modern problems and ways of their solving in science, transport, production and education, 2011». Odessa: Odesskiy natsional'nyy morskoy universitet Publ., 2011. P. 3-5. (In Russ.)



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