Abstract

The present theoretical model deals with the analysis of variable viscosity and thermal conductivity of a single wall carbon nanotube within the considered base fluid flowing through multiple stenosed arteries. A mathematical model is presented for the mild stenosis case and then solved by using symmetry boundary conditions to determine the exact solution of temperature, axial velocity and pressure gradient. The main hemodynamics due to multiple stenosis is also computed under the influence of a SWCNT. Numerical simulations are presented for the SWCNT with different values of nanoparticles volume fraction. The behavior of fluid flow for blood based SWCNT is discussed through graphs and streamlines.

Highlights

  • Blood flow is considered as a vital fluid with major importance in physiopathology that remains a factor of heart failure and other diseases

  • The main hemodynamics due to multiple stenosis is computed under the influence of a SWCNT

  • These graphs are considered for pure blood and SWCNT (Φ = 0.04, Φ = 0.07) cases by keeping parameters constant such as β = 2.0, δ = 0.01, F = 0.1, n = 2, σ1 = 0.5, L = 5

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Summary

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The present theoretical model deals with the analysis of variable viscosity and thermal conductivity of a single wall carbon nanotube within the considered base fluid flowing through multiple stenosed arteries. A mathematical model is presented for the mild stenosis case and solved by using symmetry boundary conditions to determine the exact solution of temperature, axial velocity and pressure gradient. The main hemodynamics due to multiple stenosis is computed under the influence of a SWCNT. Numerical simulations are presented for the SWCNT with different values of nanoparticles volume fraction. The behavior of fluid flow for blood based SWCNT is discussed through graphs and streamlines.

INTRODUCTION
FORMULATION OF THE PROBLEM
Flow rate is given as h
GRAPHICAL RESULTS AND DISCUSSION
CONCLUSION
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