The objective of this book is to develop a mathematical model to solve flow problems in a doubly connected region bounded by two eccentric cylinders and obtain an analytical solution with reference to catheterized artery. Among the various abnormalities that can affect the arterial system the most prevalent is atherosclerosis, arising from the focal thickening of arterial wall and resulting in the oclusion of the artery one of the clinical procedures to clear this oclusion is balloon angioplasty, in which tiny balloon is threaded through an artery and then expanded to clear the blockage. The fluid motion in an artery cannot be calculated without specification of either the pressure gradient or the rate of mass flow in the artery. When the supply of nutrients is not sufficient to meet the needs of the tissues the artery dilates and the pressure gradient increases until the rate of blood flow rises to a level which ensures an adequate supply of nutrients. The scope of this book is to develop an analytical method to solve the partial differential equations arising from modeling the above said phenomenon.
Jayaprakash Manangi Chamaraja
Dr. Jayaprakash M. C. currently works in Al Musanna College of Technology. He has done his doctorate in the file of Bio-Fluid Mechanics. He has 19 years of academic experience and published 12 research articles in various journals and conferences. Besides teaching, Dr. J. M. C. spends the time doing clinical and theoretical problem solving.
Indira R. Rao
Number of Pages:
LAP LAMBERT Academic Publishing
Biology, Fluid mechanics, Bio-Fluid, mathematics, Pulsatile Flow, Doubly Connected Region, Mass Transfer, Couple Stresses, annular region, Newtonian fluid
MATHEMATICS / General