Dissipative mathematical model of heat transfer in channels with process intensifiers

Abstract

Abstract A mathematical model is considered and calculated expressions for the average shear stress and the average Nusselt number in channels with surfaces of process intensifiers (wire inserts, annular protrusions, etc.) are obtained. The average shear stress is found using the expression for the energy dissipation rate and the Deisler and Van Driest turbulent boundary layer model. As a result, an equation related to the pressure drop in the channel with process intensifiers was obtained. Using this equation, the Nusselt number is written for channels with heat transfer intensifiers, and the calculation results are given and compared with known experimental data for transformer oil and other media with high viscosity at Reynolds numbers from 200 to 3104. The resulting expression allows calculating the heat transfer coefficients based on the results of experimental studies hydraulic resistance. As a result, the terms and costs of designing or modernizing heat exchangers for various industries are reduced.