PULSATILE FLOW OF MICROPOLAR FLUID IN AN ELASTIC TUBE – A MODEL DEVELOPED FOR ESTIMATING ARTERIAL STIFFNESS
T. S. L. RADHIKA *
BITS Pilani, Hyderabad Campus, Hyderabad, India
T. RAJA RANI
Military Technological College, Muscat, Oman
*Author to whom correspondence should be addressed.
The present paper aims at building a realistic mathematical model for understanding the blood flow in arteries of the human circulatory system and in estimating the arterial stiffness parameter that is a measure for the stiffness of artery. For this, the Micropolar fluid model is taken to govern the features of blood; arteries are taken to be elastic with the radius varying with the transmural pressure; blood flow is under a pressure gradient that is taken to be pulsatile. The resultant mathematical model is solved to estimate parameters related to blood flow as well as arteries such as circumferential stress, arterial radius, flexibility coefficient of artery and the arterial stiffness parameter. Study is done on three subjects and the required data such as BP, heart rate, cardiac output, pulse transit time (PTT) are measured using standard medical devices. Some data related to radial artery (for healthy person) such as average radius, thickness of the artery etc. are taken from published results. It has been found that the effect of couple stresses and microstructure of blood have less significance on its flow in radial artery when compared to its viscous effects.
Keywords: Micropolar fluid, transmural pressure, arterial stiffness