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Magnetohydrodynamics hemodynamics hybrid nanofluid flow through inclined stenotic artery

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Abstract

The present study aims to perform computational simulations of two-dimensional (2D) hemodynamics of unsteady blood flow via an inclined overlapping stenosed artery employing the Casson fluid model to discuss the hemorheological properties in the arterial region. A uniform magnetic field is applied to the blood flow in the radial direction as the magneto-hemodynamics effect is considered. The entropy generation is discussed using the second law of thermodynamics. The influence of different shape parameters is explored, which are assumed to have varied shapes (spherical, brick, cylindrical, platelet, and blade). The Crank-Nicolson scheme solves the equations and boundary conditions governing the flow. For a given critical height of the stenosis, the key hemodynamic variables such as velocity, wall shear stress (WSS), temperature, flow rate, and heat transfer coefficient are computed.

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Abbreviations

\(r_1^*\) :

radial direction

Re :

Reynolds number

\(z_1^*\) :

axial direction

Gr :

Grashof number

\(t_1^*\) :

time

Ec :

Eckert number

\(u_1^*\) :

velocity component in radial direction

Pr :

Prandtl number

Br :

Brinkman number

\(w_1^*\) :

velocity component in axial direction

U 0 :

reference velocity

Q 1 :

flow rate

R :

radius of artery in stenotic region

q w :

heat transfer coefficient

R 0 :

radius of artery in non-stenotic region

N s :

entropy generation number

g :

gravity

Be :

Bejan number

\(h\left( {r_1^*} \right)\) :

maximum hematocrit at artery’s center

\(\widetilde{{T^*}}\) :

temperature of base fluid

ω :

temperature difference parameter

\(\widetilde{{T_{\rm{1}}}^*}\) :

reference temperature

\(\widetilde\theta \) :

non-dimensional temperature

ρ :

density

\(\widetilde{T_{\rm{w}}^*}\) :

temperature at wall

ϕ 1 :

volume fraction of Au-nanoparticles

B 0 :

uniform magnetic field

ϕ 2 :

volume fraction of Cu-nanoparticles

\(\widetilde{c_p^*}\) :

specific heat at constant pressure

γ :

thermal expansion coefficient

E g :

volumetric entropy generation

β :

Casson fluid parameter

k f :

thermal conductivity

λ :

resistance impedance

\(p_1^*\) :

pressure

μ f :

blood’s viscosity

ω s :

wall slip velocity

μ 0 :

coefficient of viscosity plasma

B 1 :

pressure gradient parameter

δ :

stenosis depth

d :

location of stenosis

σ :

electrical conductivity

L 0 :

length of stenosis

τ w :

shear stress at wall

M :

magnetic number

ξ :

inclination parameter.

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Authors and Affiliations

  1. Department of Mathematics, Birla Institute of Technology and Science, Pilani, 333031, India

    B. K. Sharma & R. Gandhi

  2. Department of Mathematics, Division of Science and Technology, University of Education, Lahore, 54770, Pakistan

    T. Abbas

  3. College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, Shandong Province, 266590, China

    M. M. Bhatti

Authors
  1. B. K. Sharma
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  2. R. Gandhi
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  3. T. Abbas
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  4. M. M. Bhatti
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Correspondence to M. M. Bhatti.

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Citation: SHARMA, B. K., GANDHI, R., ABBAS, T., and BHATTI, M. M. Magnetohydrodynamics hemodynamics hybrid nanofluid flow through inclined stenotic artery. Applied Mathematics and Mechanics (English Edition), 44(3), 459–476 (2023) https://doi.org/10.1007/s10483-023-2961-7

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Sharma, B.K., Gandhi, R., Abbas, T. et al. Magnetohydrodynamics hemodynamics hybrid nanofluid flow through inclined stenotic artery. Appl. Math. Mech.-Engl. Ed. 44, 459–476 (2023). https://doi.org/10.1007/s10483-023-2961-7

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  • DOI: https://doi.org/10.1007/s10483-023-2961-7

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