Plane steady filtration of liquid with variation in initial gradient

In a nonlinear formation, the plane steady filtration of a liquid in the case of variable initial gradient is investigated. Accurate analytical solutions of a number of problems are obtained for certain dependences of the initial gradient on the coordinate of a point in the region.Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 2, pp. 46–53, March–April, 1977.The authors thank R. S. Khamitov for assistance with the calculations.