Modeling and analysis of MHD two-phase blood flow through a stenosed artery having temperature-dependent viscosity

Present paper deals with MHD two-phase blood flow through a stenosed inclined artery with viscous dissipation, Joule heating and k -th-order chemical reaction. The two layered model of blood flow is considered in which core and plasma regions have temperature-dependent viscosity and constant viscosity, respectively. Elliptic shaped stenosis is considered for both core and plasma regions, separately. A continuous behaviour is assumed at interface of both core and plasma regions of blood flow with a no slip condition at the wall of the artery. Governing coupled non-linear partial differential equations are solved using a numerical technique named as single shooting method. The quantitative profile analysis is done for velocity, temperature, concentration of blood flow over an entire arterial segment. The effects of various parameters on flow characteristics for two-phase blood flow through stenosed artery are presented with the help of graphs. Current findings are in a good agreement with the findings of previous recent research studies.