Mathematical analysis of mass and heat transfer through arterial stenosis

Abstract

In current article a steady state flow of an in-compressible fluid which appertains Williamson fluid through stenoised region in the shape of cosine constriction is investigated. Blood is supposed as Williamson fluid. Mathematical formulation leads us to nonlinear compatibility and energy equations then deciphered by shooting technique to obtain the numerical solution. Suitable resemblance transfiguration's are accustomed to metamorphose partial differential equations into embellish form of ordinary differential equations. Further the consequences of different involved parameters are shown by graphs and an arrogate conclusion is also presented. Velocity and temperature fields are canvassed graphically for the distinct values of emerging parameters and discussed in tabular form. Skin friction and coefficient of heat transfer are also debated in under discussion investigation. The results shows Nusselt number curve exhibits negative deflection for variational values of λ and height of the stenosis δ.