Volume preserving flow by powers of the $k$th mean curvature

We consider the flow of closed convex hypersurfaces in Euclidean space $\mathbb{R}^{n+1}$ with speed given by a power $k$-th mean curvature $E_k$ plus global term chosen to impose constraint involving enclosed volume $V_{n+1}$ and mixed $V_{n+1-k}$ evolving hypersurface. prove that if initial hypersurface is strictly convex, then solution exists for all time converges round sphere smoothly. No pinching assumption required on