  We investigate the heat engine defined via black hole with momentum
relaxation, which is introduced by massless axion fields. We first study the
extended thermodynamical properties of the black hole and then apply it to
define a heat engine. Then, we analyze how the momentum relaxation affects the
efficiency of the heat engine in the limit of high temperature. We find that
depending on the schemes of specified parameters in the engine circle, the
influence of momentum relaxation on the efficiency of the heat engine behaves
novelly, and the qualitative behaviors do depend on the dimension of the
gravity theory.
