Analytical Solutions of the Blasius Equation by Perturbation Iteration Method

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Abstract: The Blasius equation is treated by employing the Perturbation Iteration method. Analytical solutions are derived for different perturbation iteration algorithms. Solutions are contrasted with the numerical solution obtained by an adaptive step size Runge-Kutta algorithm. It is found that the series type perturbation iteration solution better represents the behavior inside the boundary layer whereas the exponentially decaying perturbation iteration solution better represents the real solution outside the boundary layer. A composite expansion uniting both solutions and valid over the whole region is constructed using the gamma interval functions. The composite analytical solution is indistinguishable from the numerical one and can replace the numerical solution in calculations.

Proof, ISSN / E-ISSN: 2944-9162 / 2732-9941, Volume 3, 2023, Art. #15

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Mehmet Pakdemirli, "Analytical Solutions of the Blasius Equation by Perturbation Iteration Method," Proof, vol. 3, pp. 100-107, 2023, DOI:10.37394/232020.2023.3.15
Mehmet Pakdemirli. Analytical Solutions of the Blasius Equation by Perturbation Iteration Method. Proof. 2023;3:100-107. 10.37394/232020.2023.3.15
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