Pressure-Driven Thermal Slip Flow in the Elliptical Channel with Radial Oscillatory Wall

Nattawan Chuchalerm, Benchawan Wiwatanapataphee, and Wannika Sawangtong


Recently, there has been considerable interest in developing sound and faithful thermal slip flow models that describe the coronary blood flow-heat transfer phenomenon during thermotherapy treatment. In the cancer treatment process, temperatures within a range of 42°C to 45°C can kill tumour cells without affecting normal tissue. As thermal therapy can cause improper blood flow and blood clots, understanding the complex phenomena of blood flow and heat transfer in a human coronary artery with oscillatory wall is important for the most efficacious treatment. This paper presents the driven pressure fluid flow and heat transfer in an elliptical channel with the oscillatory wall to predict the behaviour of circulatory flows inside the coronary arteries. Based on the assumption that there is no swirling flow, wall oscillation and pressure gradient are prescribed, and slip condition and heat convection are applied on the boundary; we proposed a mathematical model to investigate the effect of wall oscillation and slip length on the velocity and temperature field in the coronary artery. The results indicate that the slip length has a significant effect on blood flow and heat transfer during thermotherapy treatment. The wall oscillation also has a primary influence on the blood flow pattern and temperature distribution in the flow channel.