RESEARCH OF MODELS FOR DETERMINATION OF LIQUID VOLUME IN TILT TANKS

Abstract

Abstract. In the paper analyzes the existing methods and means of determining the volume of liquid in tanks. It is established that basically all publications concern only tanks with a horizontal basis and vertical walls. To take into account the frequent cases of non-horizontal placement of the tank base, the most probable options for their installation are established, taking into account their geometric shape.

Based on canonical formulas for calculating the volumes of bodies of different geometric shapes (rectangular prism, circular cylinder, elliptical cylinder) and using methods of analytical geometry, higher algebra and integral calculus, analytical models are derived to determine the volume of liquids inclined relative to the horizontal tanks of the above geometric shapes. The measured parameters are the angles of inclination of the tanks in the orthogonal planes relative to the horizontal plane and the vertical distance from the center of the neck of the tank to the surface of the liquid. Known parameters are the shape and geometric dimensions of the tanks. To determine the volumes of inclined tanks such as a circular cylinder and a rectangular prism inclined relative to one edge of the base, relatively simple expressions are obtained. It is recommended to use the methods of computational mathematics to calculate the volume of liquid in other tanks from the obtained expressions.