Abstract
The laminar boundary layer theory has been involved in two domains of transport phenomena: (i) steady-state flow (via Blasius eq.) and (ii) unsteady state flow and/or nonflow (via Newton, Fourier and/or Fick’s equations). Listed partial differential equations with the similarity of solutions enable the substitution of the observed phenomena by only one-second order differential equation. Consequently, an approach established on the general polynomial solution is described. Numerical verification of the concept is presented. Experimental notifications are documented. Finally, the new simulation strategy is suggested.
Highlights
Nowadays it is mostly clear, that diverse experiments and events which appeared under various laminar boundary layers [1,2,3] need new easy-to-use, inexpensive and accurate simulation strategy
Partial differential equations usually define the laminar transport phenomena. The techniques such as methods of combination of variables and/or separation of variables, a method of sinusoidal response, integral methods, etc., which transform the solving of the partial differential equation into a problem of solving one or more ordinary differential equations are well defined [4,5,6,7]
This article presents the complete strategy for solving the governing laminar boundary layer equations as Blasius, Newton, Fourier, and Fick, that are usually used for materials processing simulation
Summary
Nowadays it is mostly clear, that diverse experiments and events which appeared under various laminar boundary layers [1,2,3] need new easy-to-use, inexpensive and accurate simulation strategy. Partial differential equations usually define the laminar transport phenomena. The second order differential equation with the general polynomial solution is proposed in this paper.
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