Application of Cassini ovals for the formation of the 24-hour light attention of the runway

Abstract

The object of research is the process of ensuring 24-hour compliance with the technical specifications of the aerodynamic runway illumination. Under these conditions, the existence of a diffuse structure of the process of heat transfer of the working fluid and light radiation is explained.One of the most problematic places is the complexity of manufacturing and the sufficiently large material intensity of the tungsten incandescent body and the subsequent control of compliance of the incandescent body with the requirements of Cassini ovals.In the course of the study, mathematical analysis of eight-shaped fourth-order algebraic curves is done. Cassini oval and represent a generalization of a separate case, was made by the Bernoulli lemniscate «Bernoulli flower». «Eight-shaped» Cassini ovals form a geometric location of points whose product of distance, to two fixed points, focuses, remains unchanged. Conformity analysis was conducted to check the required diffuse structure of the heat transfer of the working fluid and the light scale generated by it, which does not take place in the known designs of incandescent lamps.The feasibility of using the landing zone on the runways of the incandescent tungsten body in the form of a conductive «Cassini oval» is analyzed in the signal lights. Attention is drawn to the possibility of forming a diffuse structure of heat flux and light radiation. The prospects for increasing the reliability and durability of illuminating the runway signal lights are explained. The principles of choice of mass-dimensional characteristics of the working body of incandescent signal lights are substantiated.Two further forms of Cassini ovals were obtained with the initially unchanged product being performed, in particular, the Cassini output oval deformed inside, as well as the case of the Cassini output oval falling into two autonomous ovals around the focuses.The heated tungsten conductive «Cassini oval» emits diffuse thermal and light fluxes in all directions of the surrounding space. Due to this, the light triangles in the «Cassini oval» plane, in their totality, will outline the mosaic of radiating elements of equal brightness, and thus create a continuous radiating bright light in the form of an oval plate.