Abstract
In this paper, the velocity distribution in the laminar boundary layer of the incompressible fluid is treated by the variational method. The functional J (u) is obtained, which has stationary value under a certain additional condition, when the velocity distribution u satisfies Navier-Stokes' equation and the equation of continuity. To solve the problem of the calculus of variation thus constructed, Ritz's method is used. By the above mentioned method the difficulty of solving non-linear differential equation is avoided. For the first time, this method is applied to the uniform flow along a flat plate. The velocity distribution is expressed by the polynominal of the distance from the wall, and the resistance of the plate of length l is obtained as [numerical formula].
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