Abstract
The propagation speed and depth of density currents in an arbitrarily sheared environmental flow with energy loss due to the cold-warm interfacial friction are analytically investigated in a 2-dimensional model. Only a case of small energy loss and small wind shear is examined. While there is only one solution for a conservative case, the energy loss generates two distinct solutions. One is strongly controlled by the energy loss, which does not exist for a conservative case. The other is not so much affected by it, which is connected with the conservative solution. The former depends on the energy loss on the cold-warm interface. The latter depends on the vertically integrated total energy loss. Both solutions are independent of its vertical profile.
