The bolts are placed on a conveyor belt during the heat treatment of steel bolts, which passes through a long furnace at speed \(V\), as shown in the figure below. In the first section, the bolts are heated at a constant heat flux \(q\). In the second and third sections, the bolts lose energy by convection to the air at temperature \(T_{a}\) at connective heat transfer coefficients \(h_{1}\) and \(h_{2}\) in the two sections, respectively. Assuming validity of lumped mass analysis, obtain the governing equations for the three sections and outline the mathematical model.

Transcribed Image Text:

LA L h Conveyor belt, 2 Ls 3 h