Pulsatile flow and heat transfer of blood in an overlapping vibrating atherosclerotic artery: A numerical study
The paper is devoted to a numerical investigation of the pulsatile flow of blood through a porous overlapping constricted artery under the influence of an externally imposed magnetic field and vibration environment that is originated from the body force. Blood is considered as micropolar fluid. The...
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| Published in | Mathematics and computers in simulation Vol. 166; pp. 432 - 450 |
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| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier B.V
01.12.2019
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0378-4754 1872-7166 |
| DOI | 10.1016/j.matcom.2019.06.015 |
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| Abstract | The paper is devoted to a numerical investigation of the pulsatile flow of blood through a porous overlapping constricted artery under the influence of an externally imposed magnetic field and vibration environment that is originated from the body force. Blood is considered as micropolar fluid. The heat transfer phenomenon arising out of viscous dissipation is also studied. The problem is solved numerically by developing a Crank–Nicolson finite difference scheme after transforming the original governing equations from the physical domain to a rectangular computational domain. The computational results for the velocity and temperature distributions, fluid acceleration, skin friction and Nusselt number are presented graphically for different values of the physical parameters. The study shows that the Nusselt number increases with rise in Prandtl number and Brinkman number both and that owing to the dissipation of energy caused by blood viscoelasticity and magnetic field effect, during pulsatile flow of blood, the heat transfer rate at the wall of the artery is enhanced.
•Numerically studied MHD pulsatile flow of blood and heat transfer in the stenosed artery.•Body acceleration due to vibration is considered for simulating blood flow.•Microrotation of microparticles taken into account suspended in the porous vascular tube.•WSS increases significantly for a rise in the permeability of the porous medium.•Fluid acceleration enhances with an increase in amplitude of body acceleration. |
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| AbstractList | The paper is devoted to a numerical investigation of the pulsatile flow of blood through a porous overlapping constricted artery under the influence of an externally imposed magnetic field and vibration environment that is originated from the body force. Blood is considered as micropolar fluid. The heat transfer phenomenon arising out of viscous dissipation is also studied. The problem is solved numerically by developing a Crank–Nicolson finite difference scheme after transforming the original governing equations from the physical domain to a rectangular computational domain. The computational results for the velocity and temperature distributions, fluid acceleration, skin friction and Nusselt number are presented graphically for different values of the physical parameters. The study shows that the Nusselt number increases with rise in Prandtl number and Brinkman number both and that owing to the dissipation of energy caused by blood viscoelasticity and magnetic field effect, during pulsatile flow of blood, the heat transfer rate at the wall of the artery is enhanced.
•Numerically studied MHD pulsatile flow of blood and heat transfer in the stenosed artery.•Body acceleration due to vibration is considered for simulating blood flow.•Microrotation of microparticles taken into account suspended in the porous vascular tube.•WSS increases significantly for a rise in the permeability of the porous medium.•Fluid acceleration enhances with an increase in amplitude of body acceleration. |
| Author | Shit, G.C. Misra, J.C. Maiti, S. Roy, M. |
| Author_xml | – sequence: 1 givenname: G.C. surname: Shit fullname: Shit, G.C. email: gopal_iitkgp@yahoo.co.in organization: Department of Mathematics, Jadavpur University, Kolkata 700032, India – sequence: 2 givenname: S. surname: Maiti fullname: Maiti, S. organization: Department of Mathematics, Jadavpur University, Kolkata 700032, India – sequence: 3 givenname: M. surname: Roy fullname: Roy, M. organization: Department of Mathematics, Sammilani Mahavidyalaya, Kolkata 700094, India – sequence: 4 givenname: J.C. surname: Misra fullname: Misra, J.C. organization: Centre for Theoretical Studies, Indian Institute of Technology, Kharagpur 721302, India |
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| References | Eringen (b11) 1964; 2 Misra, Sinha, Shit (b33) 2011; 4 Chaturani, Palanisamy (b7) 1990; 27 Raihi, Roy, Cavazos (b36) 2011; 54 Li, Khan, Shafee, Tlili, Asifa (b18) 2018; 4 Misra, Adhikary, Mallick, Sinha (b21) 2018; 18 Abdullah, Amin (b2) 2010; 33 Shit, Majee (b39) 2017; 70 Shit, Majee (b40) 2018; 71 Misra, Shit, Pramanik (b31) 2018; 15 Abdulhameed, Muhammad, Gital, Yakubu, Khan (b1) 2019; 519 Shit, Roy (b42) 2015; 1 Misra, Chandra, Herwig (b24) 2015; 27 Kirwan (b16) 1986; 24 Young (b51) 1979; 101 MacDonald (b20) 1974 Srivastava (b45) 1985; 18 He, Hua, Gao (b12) 2017; 17 Misra, Shit (b29) 2007; 7 Liepsch (b19) 1986; 23 Misra, Adhikary, Shit (b22) 2008; 13 Tanveer, Hayat, Alsaedi (b47) 2018; 30 Shit, Majee (b38) 2015; 388 Charya (b6) 1977; 15 Khaled, Vafai (b15) 2003; 46 Misra, Maiti (b25) 2012; 33 Lee, Fung (b17) 1970; 37 Tanveer, Hayat, Alsaedi, Ahmad (b49) 2018 Elkot, Abbas (b9) 2017; 20 Chien (b8) 1981; 2 Erigen (b10) 1966; 16 Caro, Pedley, Schroter, Seed (b4) 1978 Chandra, Misra (b5) 2016; 224 Tanveer, Hayat, Alsaedi, Ahmad (b48) 2017; 236 Misra, Shit, Chandra, Kundu (b30) 2011; 2017 Misra, Pal (b26) 1999; 29 Sinha, Misra (b44) 2014; 92 Misra, Patra, Misra (b27) 1993; 26 Vanatham, Parvathamma (b50) 1983; 21 Misra, Sahu (b28) 1988; 16 Muthu, Kumar, Chandra (b34) 2003; 45 Hogan, Henriksen (b13) 1989; 22 Saqib, Khan, Shafie (b37) 2018; 116 Sud, Sekhon (b46) 1984; 46 Shit, Roy (b41) 2011; 11 Misra, Chakravarty (b23) 1986; 19 Imran, Aleem, Riaz, Ali, Khan (b14) 2019; 118 Sinha, Misra (b43) 2012; 33 Ponalagusamy, Priyadharshini (b35) 2017; 17 Burton, Levert, Mischaelsow (b3) 1974; 46 Misra, Sinha, Shit (b32) 2008; 8 Tanveer (10.1016/j.matcom.2019.06.015_b48) 2017; 236 Misra (10.1016/j.matcom.2019.06.015_b28) 1988; 16 Vanatham (10.1016/j.matcom.2019.06.015_b50) 1983; 21 Muthu (10.1016/j.matcom.2019.06.015_b34) 2003; 45 Misra (10.1016/j.matcom.2019.06.015_b31) 2018; 15 Charya (10.1016/j.matcom.2019.06.015_b6) 1977; 15 Chaturani (10.1016/j.matcom.2019.06.015_b7) 1990; 27 Misra (10.1016/j.matcom.2019.06.015_b30) 2011; 2017 Burton (10.1016/j.matcom.2019.06.015_b3) 1974; 46 He (10.1016/j.matcom.2019.06.015_b12) 2017; 17 Srivastava (10.1016/j.matcom.2019.06.015_b45) 1985; 18 Young (10.1016/j.matcom.2019.06.015_b51) 1979; 101 Hogan (10.1016/j.matcom.2019.06.015_b13) 1989; 22 Elkot (10.1016/j.matcom.2019.06.015_b9) 2017; 20 Shit (10.1016/j.matcom.2019.06.015_b40) 2018; 71 Misra (10.1016/j.matcom.2019.06.015_b32) 2008; 8 Misra (10.1016/j.matcom.2019.06.015_b33) 2011; 4 Caro (10.1016/j.matcom.2019.06.015_b4) 1978 Shit (10.1016/j.matcom.2019.06.015_b38) 2015; 388 Raihi (10.1016/j.matcom.2019.06.015_b36) 2011; 54 MacDonald (10.1016/j.matcom.2019.06.015_b20) 1974 Ponalagusamy (10.1016/j.matcom.2019.06.015_b35) 2017; 17 Tanveer (10.1016/j.matcom.2019.06.015_b47) 2018; 30 Liepsch (10.1016/j.matcom.2019.06.015_b19) 1986; 23 Shit (10.1016/j.matcom.2019.06.015_b42) 2015; 1 Shit (10.1016/j.matcom.2019.06.015_b41) 2011; 11 Misra (10.1016/j.matcom.2019.06.015_b23) 1986; 19 Kirwan (10.1016/j.matcom.2019.06.015_b16) 1986; 24 Chien (10.1016/j.matcom.2019.06.015_b8) 1981; 2 Misra (10.1016/j.matcom.2019.06.015_b26) 1999; 29 Misra (10.1016/j.matcom.2019.06.015_b29) 2007; 7 Shit (10.1016/j.matcom.2019.06.015_b39) 2017; 70 Li (10.1016/j.matcom.2019.06.015_b18) 2018; 4 Misra (10.1016/j.matcom.2019.06.015_b22) 2008; 13 Abdullah (10.1016/j.matcom.2019.06.015_b2) 2010; 33 Eringen (10.1016/j.matcom.2019.06.015_b11) 1964; 2 Misra (10.1016/j.matcom.2019.06.015_b25) 2012; 33 Sinha (10.1016/j.matcom.2019.06.015_b43) 2012; 33 Saqib (10.1016/j.matcom.2019.06.015_b37) 2018; 116 Misra (10.1016/j.matcom.2019.06.015_b21) 2018; 18 Khaled (10.1016/j.matcom.2019.06.015_b15) 2003; 46 Sinha (10.1016/j.matcom.2019.06.015_b44) 2014; 92 Lee (10.1016/j.matcom.2019.06.015_b17) 1970; 37 Erigen (10.1016/j.matcom.2019.06.015_b10) 1966; 16 Misra (10.1016/j.matcom.2019.06.015_b27) 1993; 26 Sud (10.1016/j.matcom.2019.06.015_b46) 1984; 46 Chandra (10.1016/j.matcom.2019.06.015_b5) 2016; 224 Tanveer (10.1016/j.matcom.2019.06.015_b49) 2018 Abdulhameed (10.1016/j.matcom.2019.06.015_b1) 2019; 519 Misra (10.1016/j.matcom.2019.06.015_b24) 2015; 27 Imran (10.1016/j.matcom.2019.06.015_b14) 2019; 118 |
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| Title | Pulsatile flow and heat transfer of blood in an overlapping vibrating atherosclerotic artery: A numerical study |
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