Mathematical Model of Heat and Mass Transfer in a Colloidal Suspension with Nanoparticles

Abstract

Information technology has affected almost all areas of human activity. The solution of increasingly complex technical problems leads to a constant complication of electronic devices by which these tasks are solved. For the normal operation of powerful semiconductor devices and high-performance computing systems, it is necessary to ensure their effective cooling. The possibility of using nanofluids to remove excess heat in such systems is one of the main reasons for the increased interest in them around the world. The approach used in this work to the study of properties and processes in nanofluids is based on the use of mathematical modeling methods. A mathematical model of heat and mass transfer in a liquid-phase medium with nanoparticles under the influence of a light field is studied taking into account one-dimensional concentration convection in the form of an initial-boundary-value problem for a system of nonlinear partial differential equations of the second order. A finite-difference algorithm for the numerical simulation of such processes is developed and software implemented. The results can be used in the development and study of effective methods for controlling heat transfer processes.