Analytical Solutions of Straight-Buildup-Stable Profile Design

Abstract:

Dimensionless method is used to rewrite designing equations. The new dimensionless designing equations is of advantage to solving analytical solutions by using trigonometric function formula. The analytical solutions has simple mathematical form. The resolution of the designing equations is classified into two categories. For Class I problems with known maximum deviation angle, the analytical solutions can be derived directly by using the Cramer law of linear equations. For Class II problems with unknown maximum deviation angle, trigonometric function formulas is used to derive simple and uniform formula of analytical solutions, and to avoid the complexity of semi-angle equation for solving analytical solutions. Dimensionless method has certain universality and can be used to solve other 2D profile designing problems.