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Article history: Received 5 February 2018 Received in revised form 20 August 2018 Accepted 1 September 2018 A finite difference approach has been implemented to study blood flow in a bifurcated artery with a single mild stenosis under the effects of gravitational force. Streaming blood along the vessel segment is assumed to be micropolar, incompressible, laminar, unsteady and fully-developed. Geometry of the blood vessel is modelled as a finite bifurcation. An unsteady two-dimensional nonlinear model is taken where the governing equations are considered together with significant gravity term. The governing equations are solved using Matlab programming. Axial velocities and some blood flow characteristics are obtained and presented in graphical form. From the results, increment of dimensionless gravity parameter value yields lower axial velocity along the bifurcation segment, as well as higher magnitude of outer wall shear stress and lower magnitude of inner wall shear stress. At the branching junction, distortion happens which could lead to various consequences such as multiple stenosis. While gravity term is considered in the study, increment of viscosity yields lower axial velocity and wall shear stress along the vessel segment. These show that gravitational acceleration term and the branching structure are two substantial components to be considered in blood flow model.

Gravitational influences on micropolar blood flow in a bifurcated artery with mild stenosis