Asymptotic solution for laminar isothermic flow of compressible fluid between rotating surfaces of revolution

A steady laminar flow of a compressible newtonian fluid is considered, in a narrow space between two surfaces of revolution, rotating with generally different angular velocities about a common axis of symmetry. The problem statement for two classes of throughflow, with full and rotational inertia, is formulated. A procedure for perturbing a creeping flow solution and an iteration scheme are developed to produce a solution for higher approximations. The solution depends on seven parameters and is asymptotic in the sense of its good convergence in the second approximation for both classes of throughflow. Results for the second class of throughflow are presented for the velocity components, the pressure and temperature distributions for typical shapes of surfaces such as disks and spherical surfaces.