MATHEMATICAL STUDY OF BLOOD FLOW IN AN ELASTIC TUBE WITH WALL DEFORMATION
In the present study, a nonlinear pulsatile flow of Newtonian fluid in an elastic tube is studied, with the motivation of the problem of blood flow in an artery. The nonlinear term of the Navier-Stokes equation, as well as the nonlinear behavior and large deformation of the arterial wall are considered in the model. The velocity distribution, wall shear stress and flow rate are calculated numerically by solving the problem using finite difference method. The pressure is assumed to be sinusoidal function. The variation of flow rate and wall shear stress with Womersley parameter α are discussed and shown graphically.
pulsatile flow, elastic tube, velocity distribution, wall shear stress, Womersley parameter.