Mathematical model for blood flow through the stenosed channel

Abstract

In this paper, we investigate the blood flow through a stenoised channel. In current study Cartesian coordinates are contemplated for flow in the channel and in an axisymmetric tube with transfer of heat having cosine shape stenosis. Blood is supposed as Eyring–Powell fluid which is independent of time. Thermal conductivity is determined by temperature. After assimilating these deliberations, dimensional equations are transformed into non-dimensional system of differential equations with the use of similarity transformations and are then solved numerically. A parametric study is executed to depict the impact of various parameters on the velocity and temperature fields of fluid. Heat transfer coefficient and skin friction are also explained through graphs and discussed in tabular form for distinct values of dimensionless parameters. The current investigation tells that velocity field significantly increases by rising the value of M and δ. Temperature field increases for extended value of δ, M, K, B, A and Pr. Nusselt number curve increases due to increase in Pr.

Higher Order Solitary Wave Solutions of the Standard KdV Equations

“…, opens the way to other new varieties of fifth-order KdV equations [5] including her will be solution. Equation ( 51) shows that, for a given value of α , the coefficient c is a parabolic function of the width at half height of each component of Equation (18).…”

“…, opens the way to other new varieties of fifth-order KdV equations [5] including her will be solution;…”

“…These different phenomena as presented in this case (among so many others) constitute real and permanent threats to our existence on the earth planet. It is following this observation that, a great number of researchers in particular, physicists and mathematicians, deploy themselves in everyday life in order to design and make available mathematical models [1] [2] [3] [4] [5] in an attempt to analyze, understand and explain these phenomena that can be observed in various fields such as nonlinear optics, mechanics, biology, and so on. Most of these models are nonlinear partial differential equations (NPDEs).…”

“…opens the way to other new varieties of fifth-order KdV equations[5] including her will be solution. Now, One looks what is about the third family of solutions of the Equation (1).3.1.3.…”

Mathematical analysis of hybrid mediated blood flow in stenosis narrow arteries

“…Haghighi et al 2 analyzed the blood flow behavior mathematically through constrict arteries and solved the problem by using finite difference method. Hussain et al 3 described the blood flow behavior through tapered arteries by assuming blood as non-Newtonian fluid and investigated the flow problem numerically. Sankar et al 4 analyzed the narrow surface of arteries and did the comparative study by assuming it as two fluid model and consequences shows that resistance to flow increases with the increase of stenosis width and height.…”