fluid; generalized-displaced; dissipation; flow; channel; calculation.


This paper considers the problem of determining the dissipation energy during the flow of a generalized-displaced fluid in the channels of technological equipment. It is known that during the flow of highly viscous non-Newtonian fluids, the problem of heating this substance arises. This is primarily due to the fact that during the transportation of the material, the dissipation mechanism takes place, which leads to overheating of the material. In its turn, this affects the changes in the physical and chemical properties of the material and the technical and economic indicators of the corresponding equipment. We propose a method for calculating the dissipation energy during the flow of a generalized-displaced fluid in the channels of screw machines. To solve this problem, we used the superposition method to construct fields of larger dimensions from fields of smaller dimensions with different boundary conditions. A channel of flat and rectangular shape is considered. Fluid movement is carried out in the longitudinal and longitudinal-transverse directions of the channel. To calculate the amount of energy dissipation of a generalized-displaced fluid, it is necessary to first divide the channel sections into sections with different expressions for the flow rate. At the same time, each of the subareas consists of two curvilinear triangles and one rectangle. The mandatory steps of the calculations are the breakdown of the rectangle of the cross section of the straight channel, and the calculation of the integrals from the derivatives of the velocity. The proposed method allows to calculate the energy of dissipative heat generation when calculating the optimal parameters of technological equipment.

Author Biography

Elena V. Petrenko, State Biotechnological University

доцент кафедри інтегрованих електротехнологій та енергетичного машинобудування


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Industrial gases. Chemical engineering