Computational fluid dynamic simulation of laminar flow over a flat plate
DOI:
https://doi.org/10.32972/dms.2019.004Kulcsszavak:
CFD, boundary layer, numerical method, skin friction coefficient, heat transfer coefficientAbsztrakt
The aim of this work is to apply CFD simulation on airflow over a flat plate to study the problem of hydrodynamic and thermal boundary layer and to analyse the effect of the length of the plate. The simulation ANSYS Fluent R18.1 has been applied to solve the governing equations of the flow. The simulation results have been verified by comparing the numerical solution with the analytical solution. The effect of changing the length of the plate is investigated while the other quantities were considered constant such as the free stream velocity, density, viscosity and temperature. The result showed excellent agreement between the numerical solution and analytical solution with maximum error of less than 6.19%. It is obtained that as the plate length increases the maximum value of the velocity contour, the Nusselt number, the wall shear stress, the skin friction coefficient and drag coefficient decreases.
Hivatkozások
Blasius, H.: Grenzschichten in Flüssigkeiten mit kleiner Reibung. Z. Math. Phys., 56 (1908), pp. 1-37.
Howarth, L.: On the solution of the laminar boundary layer equations. The Royal Soc. London, A 164 (1938), pp. 547-579. https://doi.org/10.1098/rspa.1938.0037
Abu-Sitta, A. M. M.: A Note on a Certain Boundary-Layer. Applied Mathematics and Computation, 64 (1994), pp. 73-77. https://doi.org/10.1016/0096-3003(94)90140-6
Zhang, J.-Chen, B.: An iterative method for solving the Falkner-Skan equation. Appl. Math. Comput., 210 (2009), pp. 215-222. https://doi.org/10.1016/j.amc.2008.12.079
Asaithambi, A.: Solution of the Falkner - Skan equation by recursive evaluation of Taylor coefficients. Computational and Applied Mathematics, 176 (2005), pp. 203-214. https://doi.org/10.1016/j.cam.2004.07.013
Bataller, R. C.: Numerical Comparisons of Blasius and Sakiadis Flows. Matematika, 26 (2010), pp. 187-196.
Najafi, M.-Khoramishad, H.-Massah, H.-Moghimi, M.: A study of Blasius viscous flow : an ADM Analytical Solution. Applied Mathematics, 9 (2005), pp. 57-61.
Wang, L.: A new algorithm for solving classical Blasius equation, Applied Mathematics and Computation, 157 (2004), pp. 1-9. https://doi.org/10.1016/j.amc.2003.06.011
Abbasbandy, S.: A numerical solution of Blasius equation by Adomian's decomposition method and comparison with homotopy perturbation method. Chaos, Solitons and Fractals, 31 (2007), pp. 257-260. https://doi.org/10.1016/j.chaos.2005.10.071
Esmaeilpour, M.-Ganji, D. D.: Application of He's homotopy perturbation method to boundary layer flow and convection heat transfer over a flat plate. Physics Letters, A. 372 (2007), pp. 33-38. https://doi.org/10.1016/j.physleta.2007.07.002
Ganji, D. D.-Babazadeh, H.-Noori, F.-Pirouz, M. M.-Janipour, M.: An Application of Homotopy Perturbation Method for Non-linear Blasius Equation to Boundary Layer Flow Over a Flat Plate Basic idea of homotopy perturbation method. International Journal of Nonlinear Science, 7 (2009), pp. 399-404.
Schlichting, H.-Gersten, K.: Boundary layer theory. Springer Verlag, Berlin- Heidelberg-New York, 2000. https://doi.org/10.1007/978-3-642-85829-1
