Dehn-Fried surgeries on non-transitive expansive flows

In this paper, we prove that for any flow $\mathrm{\Psi }$ obtained by a Dehn-Fried surgery on an expansive (or equivalently topological pseudo-Anosov) flow $\mathrm{\Phi }$ in dimension 3, $\mathrm{\Psi }$ is expansive if and only if its stable and unstable foliations do not contain $1$-prong singularities.