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In this paper, we show that the uniform L^{4}-bound of the transverse Riccicurvature along the Sasaki-Ricci flow on a compact quasi-regular Sasakian(2n+1)-manifold M of general type. As an application, any solution of thenormalized Sasaki-Ricci flow converges in the Cheeger-Gromov sense to theunique singular Sasaki {\eta}-Einstein metric on the transverse canonical modelM_{can} of M if n is less than or equal to 3. In particular for n equal to 2,M_{can} is a S^{1}-orbibundle over the unique Keahler-Einstein orbifold surface(Z_{can},{\omega}_{KE}) with finite point orbifold singularities. The floatingfoliation (-2)-curves in M will be contracted to orbifold points by theSasaki-Ricci flow as t goes to infinite.

Convergence of the Sasaki-Ricci flow on Sasakian 5-manifolds of general type