... Direct Method,” J. Franklin Inst. , 281 , pp. 51 – 72 . 10.1016/0016-0032(66)90067-6 03 08 2009 13 04 2011 02 05 2011 28 11 2011 28 11 2011 boundary layers compressible flow dams flow control Lyapunov methods nonlinear differential equations partial...

... ′ . The viscosity effect appeared only through functions ψ 1 k , ψ 2 k , and ψ 3 k . For inviscid fluid or for breathing vibrations (i.e., k = 0 ), these quantities vanish, as would be expected. compressible flow piezoelectric materials plastic flow shells...

.... In this paper, the finite disturbance theory is used to solve the nonlinear partial differential equations that describe the unsteady one-dimensional compressible flow in the complex piping system. The solution is then compared with experimental results. The comparison shows that the finite theory fits...

... of thermodynamics and a simplified fourth-order Bernoulli-Euler linear differential beam equation for suction valves, the pressure in a cylinder and resultant pressure pulsation in the suction manifold are predicted. The mass flow rate through the valve is estimated assuming one-dimensional compressible flow...