Constraint Equations of Physical and Geometrical Parameters of an Arbitrary Branched Hydraulic System of the General Form

Abstract

The development trends of aviation technology impose stringent requirements for the quality of aircraft design in general and its onboard power systems in particular. The article considers an arbitrary branched hydraulic system of the aircraft. With known output characteristics of the hydraulic system, i.e. the function that it must perform, the internal parameters of the system that provide efficient flow distribution required for the calculated operation of the mechanisms are determined. The problem of obtaining a system of equations of the general form linking the physical parameters of the hydraulic system, such as supply power, pressure in consumers and flow rate in all functional subsystems, with the geometric parameters of the pipelines and consumers of the system is solved by an analytical method. The equations in the resulting system are considered in the space of physical parameters. As the geometric parameters of the elements are not specified in an explicit form, it allows the authors to obtain the only unique solution for an arbitrary number of pipelines and consumers, excluding an iterative process. Besides, the final equations clearly determine the most effective mode of operation of the power supply.