On the pressure velocity and temperature factors and the effect of viscosity on the arterial blood flow in relation to the hypertension patient, Part 1 – flow without outflow

Abstract

In this paper, we examine the effects of viscosity on the blood pressure, velocity and temperature distributions in the arterial blood flow in the absence of outflows. The governing continuity, momentum and energy equations are solved analytically by method of characteristics. Using the wavefront expansions, an equation of the form of the Riccatti equation is derived. By this, explicit results about the pressure, velocity and temperature distributions are obtained. It is observed that viscosity reduces the pressure, hence, the velocity and temperature distributions. Our results may find relevance in the medical treatment of high blood-pressure problem

Keywords: Viscosity pressure, velocity, temperature, arterial blood flow, hypertension