This paper presents two novel analytical wake models for crosswind kite power systems. One is developed based on the continuity equation, and other both momentum equations. For each model, equations flow speed as well shape are obtained through a rigorous theoretical approach. Wake kites provide first step in understanding of effects kite-to-kite aerodynamic interactions prospective wind energy...

In this research, dynamic analysis of the rotational slender axially moving string is investigated. String assumed as Euler Bernoulli beam. The axial motion of the string, gyroscopic force and mass eccentricity were considered in the study. Equations of motion are derived using Hamilton’s principle, resulting in two partial differential equations for the transverse motions. The equations are ch...

This is a sequel to [S0]. In this paper I prove that the plaid model has unbounded orbits at all irrational parameters. This result is closely related to my result [S1] that outer billiards has unbounded orbits with respect to any irrational kite.

In [S] we proved that the outer billiards system defined on the Penrose kite has an unbounded orbit. In this article we will sketch some of the main ideas in the proof, and describe in detail a very convincing computer demonstration of our result.

In this paper we observe that the minimal signless Laplacian spectral radius is obtained uniquely at the kite graph PKn−ω,ω among all connected graphs with n vertices and clique number ω. In addition, we show that the spectral radius μ of PKm,ω (m ≥ 1) satisfies

The principal ratio of a connected graph, denoted γ(G), is the ratio of the maximum and minimum entries of its first eigenvector. Cioabă and Gregory conjectured that the graph on n vertices maximizing γ(G) is a kite graph: a complete graph with a pendant path. In this paper we prove their conjecture.