EXACT SOLUTIONS OF THE EQUATION OF A TWO-DIMENSIONAL UNSTEADY HYDRODYNAMIC BOUNDARY LAYER
Keywords:
Differential equation of the hydrodynamic boundary layer; current function; current lines; viscous incompressible fluid; velocity profileAbstract
Exact analytical solutions of the equation of the hydrodynamic boundary layer of the unsteady flow of an incompressible viscous fluid derived with respect to the function of the current, which is partial differential equations of the third order, are found. The functions of the current, the distribution of the velocity field, and current lines describing unsteady flows during the flow of a flat plate are determined. An exact solution describing the outflow of a non-stationary jet from a narrow long slit has been found.
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