OBRABOTKAMETALLOV technology Vol. 27 No. 1 2025 The thermal insulation condition at the boundaries BC and CF has the form: , 20 C CD CF T = ° . (3) The condition on the AD boundary, assuming a normal distribution, is: 2 2 ( ) 2 2 , 1 2 r DE EF p n R − σ ∂ ⋅ − = η ⋅ ⋅ ⋅ The initial condition at all points of the body is taken in the following form: (0, , ) 20 C T r z = ° . (5) When modeling the inter-pulse cooling process, the scheme shown in Fig. 2 and the equilibrium equation of the heat conduction problem (1) were used. Fig. 1. Design diagram, boundary designation for the working impulse Fig. 2. Design diagram, boundary designation for processes after thermal exposure On the boundary AB at r = 0, the condition of axial symmetry for the heat problem applies. The boundaries AD, DG, GE, and EF of the workpiece are cooled by the working fluid (WF). As a first approximation, these boundaries are modeled as convective heat exchange surfaces, and the convective heat exchange coefficient is assumed to be constant. The condition on these boundaries takes the form: , , , ( ) AD DG GE EF T k h T T n ∞ ∂ − = − ∂ . (6) The thermal insulation condition at the boundaries BC and CF has the form: , 20 C BC CF T = ° . (7) The initial condition at all points of the body is taken in the following form: (0, , ) ( , , ) pulse T r z T T r z = , (8) – temperature field after thermal exposure. ∂ π ⋅ σ ⋅ π (4) T I U k e
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