WSEAS Transactions on Fluid Mechanics
Print ISSN: 1790-5087, E-ISSN: 2224-347X
Volume 10, 2015
Numerical and Approximate Solutions of Boundary Layer Development Due to a Moving Extensible Surface
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Abstract: In this study, several numerical analysis methods were performed for solving boundary layer flow model development due to a moving surface (’sheet’). This model obeys to general stretching law and was presented by Kuiken in 1981. The numerical simulation methods which were used are the shooting method and finite difference method (FDM). Creating the final simulation model involved a calibration step. It was found that the shooting method does not describe properly the fluid physics as compared to finite difference method (FDM). Additionally, comparison between numerical and suggested approximate solutions was done while qualitative compatibility was found between solutions. Kuiken solution branch was found to be fully coincided with current FDM solution for κ=1/3. Finally, comparison between ADM (Adomian Decomposition Method) and FDM has been done, while appropriate match was found between solutions. Quantitatively, all presented solutions have the same order of magnitude; nevertheless, inaccuracy between all kinds of solutions does exist.
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Keywords: Shooting method, FDM, Two-dimensional flow, Numerical solution, Approximate solution, Analytical solution, Literature solution, ADM
Pages: 54-68
WSEAS Transactions on Fluid Mechanics, ISSN / E-ISSN: 1790-5087 / 2224-347X, Volume 10, 2015, Art. #6