The theory of flux flow developed by Bardeen and Stephen (BS) is modif
ied and extended to the high-field case. The Clem model and Wigner-Sei
tz circle-cell approximation for vortices are used in our approach. Th
e distinct boundary of the normal core of a vortex in BS theory is rem
oved and treated naturally. Several interesting results come out as a
consequence. The Lorentz force is determined by the normal current rat
her than the supercurrent. But the supercurrent can sustain the magnet
ic-field distribution of flux quanta. From energy dissipation consider
ations, the Lorentz force is equal to viscosity force automatically wi
thout assumption as made in BS theory. An expression for the viscosity
is also obtained.