From Jeff Masters:
Tropical Depression Henri continues to suffer from high wind shear of 20 knots, and appears on its way to dissipation. Visible satellite loops show that the shear has exposed Henri's low level center to view, and this center has become less circular and not as well defined. Henri's heavy thunderstorms have been shrinking in areal coverage and intensity, and are displaced from the center--signs of a highly sheared tropical storm that has little time left to live.
All of the reliable global computer models show weakening and dissipation of Henri by Friday, due to high wind shear. Wind shear in the vicinity of Henri's remains is predicted to fall to the moderate range by Saturday, but at that time it appears that the storm will be moving over the Dominican Republic, which will disrupt whatever is left of the storm's circulation. Henri's remains may bring heavy rains of 2 - 4 inches the the Dominican Republic and Haiti Saturday through Monday. By Tuesday, the remains of Henri will likely be moving across Florida and/or Cuba and into the Gulf of Mexico, where we will need to watch the system for re-development