Universal equations of three-dimensional boundary layer theory

Incompressible laminar temperature boundary layer on a body of revolution: The adiabatic case

“…In the presented paper, the governing equations of the incompressible laminar thermal boundary layer, for adiabatic boundary conditions, on the body of revolution are obtained in the universal form, using the general similarity Loitskianskii's [6] method, with Saljnikov's [7] modifications of transversal coordinate. Results for universal dimensionless stream function Φ(x,η) and temperature K(x,η,Pr) are achieved numerically, using finite difference method.…”

“…Starting from the equations for spacious boundary layer and considering posed geometry of the treated problem, presented on the Fig. 1, Bogdanova [7] obtained governing equations (continuity and momentum) in the form:…”

“…Such approach is of certain theoretical interest, even that posed system can be solved directly for certain particular case. In order to obtain universal form of the governing equations (1-3) Bogdanova's [7] treatment, improved by more appropriate Saljnikov's [8] variables.…”

“…As it shown by Saljnikov [7] one-parametric approximation can be used. Namely, instead of the set of parameters (8), which generates the set of equations for each f k , only the first one f 1 (9) can be used, generating only one set of two universal governing equations.…”

“…The concept of universalisation of the laminar boundary layer equations, introduced by Loitskianskii [6], was applied by Bogdanova [7], for the case of flow around the body of revolution. Complete unversalisation of the equations, proposed by Saljnikov [8], of treated problem was done by Kukic [9], and Bachrun et all [10].…”