Simplification of laminar boundary layer equations
DOI:
https://doi.org/10.30544/347Keywords:
materials processing simulation, laminar boundary layer, second order differential equation, polynomial solution.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.
References
M. R. Mobinipouya, M. M. Papari, In: Proceedings title. Second International Conference on Environmental and Computer Science, 2009, 356-359.
S. Makhlouf, M. Laghrouche, Abd El Hamid Adane: IEEE Sens J, 16 (2016) 2650-2657.
M. Mustafa, Junaid A. Khan, T. Hayat, A. Alsaedi: Trans Nanotechnol, 14 (2015) 159-168.
K. Parand, Mehdi Dehghan, F. Baharifard: Applied Mathematical Modelling, 37 (2013) 851-863.
K. Stewartson: J Math Phys: 36, 1-4 (1957) 173-191.
H. Schlichting & K. Gersten, Boundary Layer Theory, 8th ed., Springer, 2000, pp. 145-207 and 683-703.
R.B. Bird, W.E. Stewart and E.D. Lightfoot, Transport Phenomena, John Wiley and Sons, New York, 1960, pp.608-619.
K.T. Raic: ISIJ Int, 32 (1992) 514-520.
K.T. Raic: Le Journal de Physique IV, C5, 5 (1995) 235-242.
K.T. Raic: Interface Sci, 8 (2000) 85-94.
K.T. Raic: Ceram Int, 26, 1, (2000) 19-24.
K.T. Raic: Sci Technol Adv Mater, 9 (2008) 015008.
K.T. Raic: Surf Eng, 32, 11 (2016) 823-828.
S.V. Patankar, Numerical Heat Transfer and Fluid Flow, Hemisphere Publ Corp, New York, 1980, pp.54-61.
C. T. Kelley, Iterative Methods for Linear and Nonlinear Equations, Society for Industrial and Applied Mathematics, Philadelphia, 1995.
Downloads
How to Cite
Issue
Section
License
Copyright (c) 2018 Karlo Raić
This work is licensed under a Creative Commons Attribution 4.0 International License.
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgment of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgment of its initial publication in this journal.
- Authors are permitted and encouraged to post their published articles online (e.g., in institutional repositories or on their website, social networks like ResearchGate or Academia), as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).
Except where otherwise noted, the content on this site is licensed under a Creative Commons Attribution 4.0 International License.
According to the 