  We study a generalized mean curvature flow involving a positive power of the
mean curvature and a driving force. In this paper, we first construct all kinds
of radially symmetric translating solutions, and then select one of them to
satisfy a prescribed boundary angle in a cylinder. We then consider the flow
starting at an initial hypersurface: showing the a priori estimates (especially
the uniform-in-time bounds for the mean curvature which guarantee the uniform
parabolicity of the corresponding fully nonlinear equation), giving the global
existence for the solution of the initial boundary value problem, and proving
its convergence to the corresponding translating solution. Our study provides a
complete exposition on the influence of the dimension, the power of the mean
curvature, the driving force and the boundary angles on the existence and
stability of radially symmetric translating solutions.
