ADVANCED SOLUTION OF AORTA BLOOD FLOW PROPERTIES UNDER BODY ACCELERATION FORCES

  • Abdalla Wassf Isaac
Keywords: body acceleration, mathematical model, total driving force, properties of blood

Abstract

A mathematical model for blood (Newtonian fluid) flow with body acceleration force has been investigated. The body acceleration due to the movement of a tractor and the blood pressure gradient of thoracic aorta of a man have been considered. The actual geometric forms of pressure gradient and body acceleration force have been translated into mathematical forms by Fourier series. The geometrical forms of the total driving forces have been obtained for different frequencies of both forces. The exact solutions of velocity, flow rate, wall shear, etc. have been obtained in terms of ber and bei function. It is found that the geometrical form of the total driving force FT gives a very useful information about the velocity, flow rate and wall shear profiles.