Obtaining Analytical Solutions of Equations of Hydrodynamic and Thermal Boundary Layers by Means of Introduction of Additional Boundary Conditions

摘要

Mathematical models of hydrodynamic and thermal boundary layers, given in the form of integral equations with the introduction of additional boundary conditions, are used for developing the procedure for obtaining approximate analytical solutions of input differential equations of boundary layers, which enables one to obtain solutions almost of desired degree of accuracy. Thus, even in the fourth approximation, the difference of the obtained analytical solution of the problem for hydrodynamic boundary layer from the exact solution is about 0.1%, and that for thermal boundary layer - less than 0.5%. In view of the resultant solutions, the distribution of identical velocities (isotachs) and isotherms within the respective boundary layers is analyzed. Investigations are also performed of the velocities of motion of isotachs and isotherms along transverse coordinate as a function of the value of longitudinal variable.