Two-dimensional numerical simulations are used to examine the vorticity flux and slot entrance effects in zero-net mass-flux devices. The simulations allow us to extract a simple scaling law for the vorticity flux which provides insight into the relative importance of the various operational parameters. In addition to this, a semi-analytical model is proposed in order to determine the pressure ...

Again, these quantities will be more sensitive if the moments of inertia are close than if they are widely spaced. For a vehicle with nominal inertias satisfying I1 D 2I3 and I2 D 1:5I3, and the 1% normalized inertia perturbations considered earlier, arctan ° can vary from 31.8 to 38.7 deg, a total range of 6.9 deg. Using Eqs. (13) and (14) together allows the possible variations in absolute se...

(1.1) G = A1F1 + · · ·+ AkFk where s is an integer ≥ 0. In the usual proofs of this result, one is not concerned with estimates about the degree of the Aj ’s and the exponent s. This question was considered by Brownawell [Br1] and later by N. Fitchas [Fi] and Kollár [K]. Kollár got the best estimates under the technical hypothesis deg Fj 6= 2 for j > 1. Namely it is possible to solve (1.1) with...

The tangent plane algorithm is a fast sequential learning method for multilayered feedforward neural networks that accepts almost zero initial conditions for the connection weights with the expectation that only the minimum number of weights will be activated. However, the inclusion of a tendency to move away from the origin in weight space can lead to large weights that are harmful to generali...

We construct new examples of immersed minimal surfaces with catenoid ends and finite total curvature, of both genus zero and higher genus. In the genus zero case, we classify all such surfaces with at most 2n+1 ends, and with symmetry group the natural Z2 extension of the dihedral group Dn. 1 2 The surfaces are constructed by proving existence of the conjugate surfaces. We extend this method to...

A quantum theory of thermal reaction rates is presented which may be viewed as an extension of the recently developed "quantum instanton" (QI) model [W. H. Miller, Y. Zhao, M. Ceotto, and S. Yang, J. Chem. Phys. 119, 1329 (2003)]. It is based on using higher derivatives of the flux-flux autocorrelation function C(t) (as given by Miller, Schwartz, and Tromp) at t=0 to construct a short time appr...

The flow field generated by a zero-net mass-flux (ZNMF) actuator is investigated via both numerical simulations and experiments to augment the current understanding of the flow physics of the orifice. The results aid in improving the accuracy of low dimensional lumped element ZNMF models suitable for design. Dimensional analysis yields a number of key parameters that govern the characteristics ...