Scientific Journal Problems of Emergency Situations - Y. Linchevsky, L. Kutsenko, A. Kalinovsky, V. Semkiv, S. Nazarenko, E.Sukharkova. Geometric modeling of epihypotrochoid profiles of single screw for MOINEAU pumps. P. 195-218.

A method of calculating the geometric shapes of the surfaces that limit the rotor and the body of models of single-screw pumps of the Muano system is proposed. At the same time, the contours of the normal sections of the rotor and the housing satisfy the condition of mutual conjugation in the coordinate system of a plane that is perpendicular (normal) to the axis of the pump. The concept of epihypotrochoid curves, convenient for calculating the interconnected surfaces of the rotor and the body, is introduced. Which consist of working profiles of periodically located epitrochoids and hypotrochoids. Descriptions of epihypotrochoid curves in a parametric form were found, where each of the equations has the form of a single analytical expression. The interconnectedness of the contours of the normal sections of the rotor and the body is illustrated by means of graphic constructions. Based on this, the following methods have been developed: a) determination of the integral characteristics and contact lines of the epihypotrochoid contours of the rotor and the body of the Muano pumps; b) description of a cylindrical helical surface with an epihypotrochoid normal section. This made it possible to calculate the volume characteristics of the pump cavities. The proposed equations of epihypotrochoid curves can be used to study their differential characteristics – construction of tangents and normals, construction of velocity and acceleration vectors for a point moving along the epihypotrochoid. And it is also convenient to use to study their integral characteristics – calculation of the area of a figure bounded by a closed epihypotrochoid curve, or a figure between two epihypotrochoids. The obtained results can form the basis for the improvement of Muano single-screw pumps, which will expand the range of their application. It should be noted that Muano single-screw pumps are used for pumping various types of liquids, which can be used in the work of emergency and rescue services. The pumps are capable of pumping sewage and sewage water, oil products, foam concrete and sand-cement solutions, etc.

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