Evolution of the shock (blue) and gain (red) radii as a function of the convection parameter, χ. Unless stated otherwise, the values of the parameters are r_sh0 = 5 r_PNS, ε = 0, and j = 0. The case (j, ε) = (0, 0) and r_sh0 = 3.2 r_PNS (dashed lines) is chosen so that the shock radius without heating coincides with the case with (j, ε) = (0,  0.3) and r_sh0 = 5 r_PNS. As expected, the shock radius increases with χ and the introduction of rotation increases the shock radius when the cooling normalisation, A_c, is conserved. Note that for the moderate value of angular momentum j = 0.1, the stationary flow is almost unaffected by rotation.