High precise computer code was developed to model non-stationary 3D thermal processes, in particular during quench, in adiabatic solenoidal winding of superconducting magnet. The code solves, with desired precision, the set of 1D non-linear non stationary heat balance equations, each of which treats, in a section of winding, dynamically interdependent processes of heat propagation along helix-shaped wire and transverse heat transfer across inter-turn insulation. For. fixed current, a dimensionless analysis of normal zone propagation within single solenoid layer was carried out, by dint of the code, to demonstrate peculiar influence of wire hellclty on longitudinal and transverse velocities of normal zone and the layer temperature profile.