Modelling and Simulation of the Effect of Prandtl and Soret Numbers on Mass Concentration with Magnetic Intensity in a Blood Channel

Abstract

Mass concentration in blood is the amount of protein, glucose, and waste products present in a given blood volume, and the change in mass concentration can lead to several health challenges, such as cardiovascular problems. However, this research was focused on formulating a system of partial differential mathematical models that represent energy transfer in the blood and mass concentration. The models were further scaled to be dimensionless, reduced to ordinary differential equations using some perturbation conditions, and solved analytically using the Laplace method, where the temperature and mass concentration profiles were obtained. In addition, the numerical simulation was carried out using Wolfram Thematic, version 12, and the impact of the Prandtl and Soret numbers was investigated. The results indicate that the Prandtl number, Soret number, and many other numbers that appeared in the system were varied to understand the parameter changes on the profiles. Conclusion: We conclude that the oscillatory parameter and Prandtl number increased the temperature profiles, while other parameters increased the mass concentration as they increased.