... layers convection external flows iterative methods laminar flow nonlinear differential equations partial differential equations Runge-Kutta methods vertical plate boundary layer flow heat transfer local Grashof number convective parameter Convective heat transfer studies are very...

... displacement and the torque acting on the blade were used to infer the probability of the blade self-oscillation. 04 07 2006 28 04 2007 external flows flow simulation Runge-Kutta methods vortices vortex shedding forced oscillation lock-in self-oscillation thin cambered blade...

... approximations Runge-Kutta methods Weibull distribution Cavitation is known for its destructive impact on wetted surfaces, which can lead to fatal failures of hydraulic machinery and hydraulic structures. Therefore, it has to be avoided or at least controlled. This demands that cavitation inception has...

... differential equations Runge-Kutta methods 18 05 2004 13 07 2005 2006 American Society of Mechanical Engineers ...

...Anatoli Tumin The spatial stability of a natural convection flow on upward-facing, heated, inclined plates is revisited. The eigenvalue problem is solved numerically employing two methods: the collocation method with Chebyshev polynomials and the fourth-order Runge-Kutta method. Two modes...