Cardiovascular diseases are one of the major health concerns globally, mainly caused by inadequate blood flow in different body parts. The lack of blood flow is often due to abnormal narrowing of blood vessels, and a systematic technique to boost blood flow in these areas can help cure the disease. One such method uses elevated temperatures to influence blood flow in the concerned areas. This paper investigates this process, i.e. the forced convection, through blood flow in a stenotic region of a human artery. A part of the stenotic region is considered a porous medium and the top wall is subjected to a higher temperature with a lid moving from left to right. Blood is considered as a non-Newtonian fluid with the power law index varying from 0.5 to 1.5. The geometric properties are considered to match the problem of blood flow in the artery affected by stenosis. The Carreau-Yasuda model is used to represent the non-Newtonian fluid flow in porous media and the numerical analysis is carried out using the Lattice Boltzmann method. This problem is investigated to study the influence of the moving lid and other geometric properties on convection and flow properties such as velocity profiles, streamlines, isotherms and heat transfer.
Afifi R, Berbish N. Experimental investigation of forced convection heat transfer over a horizontal flat plate in a porous medium. J Engg Appl Sci. 1999;693–710.
2.
Joshua B, James B, M. Analysis of the Casson and Carreau-Yasuda non-Newtonian blood models in steady and oscillatory flows using the lattice Boltzmann method. Physics of Fluids. 2007;93103.
3.
Shiyi C, Gary D, D. Lattice Boltzmann method for fluid flows. Annu Rev Fluid Mech. 1998;329–64.
4.
Corcione O, Celata M, G. Application to natural convection enclosed flows of a lattice Boltzmann BGK model coupled with a general purpose thermal boundary condition. Int J Therm Sci. 2004;(6):575–86.
5.
Ergun S. Flow Through Packed Columns. Chem Eng Process. 1952;89–94.
6.
Yang H, Decai L, Shi S, Xiaodong N. An efficient smoothed profile-lattice Boltzmann method for the simulation of forced and natural convection flows in complex geometries. International Communications in Heat and Mass Transfer. 2015;188–99.
7.
Muneer I, A. Forced convection in partially compliant channel with two alternated baffles. International Journal of Heat and Mass Transfer. 2019;118455.
8.
Sun K, Kyoung. Forced convection heat transfer for the fully-developed laminar flow of the cross fluid between parallel plates. Journal of Non-Newtonian Fluid Mechanics. 2020;104226.
9.
Leonardi C, Owen D, Feng Y. Numerical Rheometry of Bulk Materials using a Power Law Fluid and the Lattice Boltzmann Method. J Non-Newtonian Fluid Mech. 2011;628–38.
10.
Anamika M, Tiwari Naveen, Chhabra R. Effect of inclination angle on the forced convective flow of a power-law fluid in a 2-D planar branching channel. International Journal of Heat and Mass Transfer. 2019;768–83.
11.
Abouei M, Farhadi A, Sedighi M, K, Aghajani D, M. Effect of fin position and porosity on heat transfer improvement in a plate porous media heat exchanger. Journal of the Taiwan Institute of Chemical Engineers. 2013;420–31.
12.
Abouei M, Sedighi A, Afrouzi H Hassanzade K, Aghili A, Latif. Lattice Boltzmann simulation of forced convection in vented cavity filled by porous medium with obstruction. World Applied Sciences Journal. 2012;31–6.
13.
Edward M. Rheology of blood. Physiological Reviews. 1969;(4):863–88.
Pearon J, Tardy P. Models for flow of non-Newtonian and complex fluids through porous media. Journal of Non-Newtonian Fluid Mechanics. 2002;447–73.
16.
Peng Y, Shu C, Chew Y. A 3D incompressible thermal lattice Boltzmann model and its application to simulate natural convection in a cubic cavity. J Comput Phys. 2004;193–260.
17.
Seta T, Takegoshi E, Okui K. Lattice Boltzmann simulation of natural convection in porous media. Mathematics and Computers in Simulation. 2006;195–200.
18.
Seta T, Takegoshi E, Kitano K, Okui K. Thermal lattice Boltzmann model for incompressible flows through porous media. Journal of Therm Science and Technology. 2006;(2):90–100.
19.
Shenoy A. Non-Newtonian Fluid Heat Transfer in Porous Media. Advances in Heat Transfer. 1994;101–90.
20.
Taha S. Non-Newtonian flow in porous media. Polymer. 2010;5007–23.
21.
Sumam K, Blessy T. Blood Flow in Human Arterial System-A Review. Procedia Technology. 2016;339–46.
22.
Guo Z, Zhao T. Lattice Boltzmann Model for Incompressible Flows through Porous Media. Phys Rev E. 2002;36304.
23.
Zou Qisu H, Xiaoyi. On pressure and velocity boundary conditions for the lattice Boltzmann BGK model. Phys Fluid. 1997;(6):9.
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