Flow past a profile of a given shape in the Chaplygin gas

In the paper, the problem of a subsonic continuous flow past a profile of a given shape is investigated. The problem is reduced to a nonlinear Villa-type integral equation, which after discretization is solved by Newton's method. It is shown that the velocity distributions computed using the Chaplygin gas model, the Karman–Tsien formula and the CFD Fluent package are very close to each other in the subsonic range of Mach numbers.