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| In this paper, a closed and globally convergent Analytical Solution (AS) was finally found for Blasius Equation (BE). The AS is concisely expressed by two power series. We found the inner boundary value of the $2^mathrm{nd}$ order derivative of the unknown function could also be exactly revealed by the convergence criterion, which is about $0.3320554$. Calculation directly based on the truncated AS shew a sound accordance with prior results. A method for approximately using the AS was also provided, even the $2^mathrm{nd}$ order approximation was found sufficiently accurate. Based on the AS, other problems coupled with laminar boundary layer, e.g. heat transfer on a semi-infinite plate with constant temperature could be analytically formulated subsequently. Besides, some higher order features on the wall of the boundary layer could be exactly found by the AS. Surely, positive significance could be also found in the area of differential equations, i.e. a class of nonlinear Ordinary Differential Equations (ODE) similar as BE could be analytically solved and analyzed. |
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| Keywords:Analytical Solution,Convergence,Blasius Equation,Nonlinear ,Transformation |
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