VESTNIK of Samara University. Aerospace and Mechanical EngineeringVESTNIK of Samara University. Aerospace and Mechanical Engineering2542-04532541-7533Samara National Research University258110.18287/1998-6629-2014-0-5-4(47)-137-141UnknownMathematical modeling and investigation of the process of thermal theatment of aluminum ingots on the basis of regulated convective heat transferGorsheninA. S.<p>Candidate of Science (Engineering)</p>andersonagl@yandex.ruKrivosheevV. E.<p>Candidate of Science (Engineering)</p>pt@samgtu.ruSamara State Technical University23122014135-41371412107201521072015Copyright © 2015, VESTNIK of the Samara State Aerospace University2015<p>Existing cooling technology of cylindrical aluminum ingots dont 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%.</p>Mathematical modeladjustable convective heat transfercooling rateМатематическая модельрегулируемый конвективный теплообменскорость охлаждения[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.)]