  In this paper, we have studied the Joule-Thomson expansion of a specific
black hole in f(R) gravity coupled with Yang-Mills field. Firstly,
4-dimensional equation of state and the Joule-Thomson coefficient were derived
from thermodynamic quantities, the critical temperature and the inversion
temperature were obtained, and the isenthalpic curves and the inversion curves
have plotted in the T-P plane. Then, by considering the higher dimensions black
hole, the inversion temperature was obtained, the isenthalpic curves and the
inversion curves also were plotted, and the effect of nonlinear term $\eta$ and
dimension for the Joule-Thomson expansion is demonstrated visually by depicting
different curves. Finally, we compared the ratio of the inversion temperature
to the critical temperatures with the van der Waals fluid and other black hole,
which the ratio is not equal to 0.5, and the dimension changes, the ratio also
changes.
