MATHEMATICAL MODELLING OF HIGH-VISCOUS OIL ULTRASONIC PREPARATION FOR TRANSPORT

Abstract

The relevance of the research is caused by the need to determine the energy level of physical effects on high-viscous oil in order to prepare it for transport. This knowledge is relevant for the design of ultrasonic installations for changing the rheological properties of oil. The main aim of the research is to determine acoustic energy levels in layers of multilayer acoustic system at different impact frequencies in order to identify resonant modes of the mechanical system «emitter–oil». Objects: mechanical multi-layered system «emitter–oil», the design of which is determined by the method of energy application to the load and the resonant frequency of the particular layer. Methods: mathematical modeling of ultrasonic radiation with the determination of the energy of transmission, absorption and reflection in each layer of the mechanical system «emitter–oil», determination of resonant frequencies with the maximum released energy in the oil layer. Results. Mathematical model of a multilayer acoustic system is presented. It allows calculating the energy of acoustic radiation in each layer of the system. The frequency characteristics of acoustic radiation make it possible to determine the resonance modes in each layer of the system, including oil. Knowledge of the level of acoustic energy, in the future, will make it possible to determine changes in the rheological properties of oil, including from heating. Findings. The developed mathematical model of the ultrasound propagation in a multilayer system makes it possible to calculate the energy in each layer of the acoustic system at different excitation frequencies of the vibration source with different ratios of the wavelength in the layer and the thickness of this layer. The presence of reflected waves in each layer creates a series of resonances (standing wave modes). The frequency characteristics, taking into account the interference pattern of the field, reflect the pattern of energy penetration into the layers and show that due to the formation of standing waves (resonances), the energy in oil can be close to the energy of the emitter. The acoustic energy in the oil layer decreases depending on the increase of the initial viscosity. This mathematical model makes it possible to calculate the design of an acoustic system for preparing oil and hydrocarbon fuels for transport, preparing fuels for combustion, preparing oils for operation in the Arctic and Antarctic.

Keywords

• ultrasonic radiation
• radiation energy
• standing waves
• reflected waves
• frequency characteristics
• layered acoustic system