  We study the cooling-heating phase transition of the charged accelerating
anti-de Sitter black hole in extended phase space, and investigate the critical
behavior of this black hole in extended phase space. By calculating the
thermodynamic quantities and state equation, we found that the charged
accelerating AdS black hole as thermodynamic system is similar to the van der
Waals system. The inversion temperature of this black hole is obtained, and
cooling-heating and isenthalpic curves are plotted in T-P plane. Our results
indicate that the inversion temperature for a given pressure increases with e,
and the acceleration parameter has the opposite effect, which the
cooling-heating curves decreases gradually with the the increases of a. We also
analyse the influence of acceleration parameter on isenthalpic curves, implying
that the phase transition point decreases with the increase of acceleration
factor under constant pressure.
