The object of the present paper is to characterize Kenmotsu manifolds satisfying certain curvature conditions on the conharmonic curvature tensor. Next we study 3-dimensional Kenmotsu manifolds admitting a non-null concircular vector field. Also we study 3-dimensional locally φ-conharmonically symmetric Kenmotsu manifolds. Finally, we give an example of a locally φ-conharmonically symmetric Kenmotsu manifolds.