  In this paper we use the blow-up surgery introduced in [G] to produce new
higher dimensional partially hyperbolic flows. The main contribution of the
paper is the slow-down construction which accompanies the blow-up construction.
This new ingredient allows to dispose of a rather strong domination assumption
which was crucial for results in [G]. Consequently we gain more flexibility
which allows to construct new volume-preserving partially hyperbolic flows as
well as new examples which are not fiberwise Anosov. The latter are produced by
starting with the geodesic flow on complex hyperbolic manifold which admits a
totally geodesic complex curve. Then by performing the slow-down first and the
blow-up second we obtain a new (volume-preserving) partially hyperbolic flows.
