Far East Journal of Dynamical Systems

The Far East Journal of Dynamical Systems publishes original research papers and survey articles in all aspects of dynamical systems, including chaos, fractals, and ergodic theory. It encourages application-oriented research in physics, life sciences, and social sciences.

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HEAT CONDUCTION FOR AN MHD VISCOUS FLUID WITH ENTROPY GENERATION ANALYSIS

Authors

  • Tadesse Lamesse

Keywords:

heat transfer, magnetohydrodynamic, viscous fluid, Hartmann number, ciliated tube, Brinkman number, entropy.

DOI:

https://doi.org/10.17654/0972111823005

Abstract

This research explains how a viscous magnetohydrodynamic (MHD) fluid flows through a ciliated tube while transferring heat and producing entropy. The study of heat transmission is crucial to solving many issues in the biomedical and biological industries. This viscous creeping flow is primarily caused by metachronal wave transmission. Because inertial forces are weaker than viscous forces and because creeping flow constraints are met, a low Reynolds number is used. A metachronal wave with a very wide wavelength is considered when studying cilia movement. Heat transmission through the flow is investigated using entropy generation. Graphs are used to compute and analyze precise mathematical solutions. Additionally, streams are mapped.

Received: March 10, 2023
Accepted: June 14, 2023

References

T. Y. Wu, On the theoretical modelling of aquatic and aerial animal locomotion, Adv. Appl. Mech. 38 (2001), 291-353.

T. Y. Wu, Reflections for resolution to some recent studies on fluid mechanics, Advances in Engineering Mechanics - Reflections and Outlooks, World Scientific, Singapore, 2006.

J. Feng and S. K. Cho, Mini and micro propulsion for medical swimmers, Micromachines 5 (2014), 97-113.

Y. Wang, Y. Gao, H. M. Wyss, P. D. Anderson and J. M. J. den Toonder, Artificial cilia fabricated using magnetic fiber drawing generate substantial fluid flow, Microfluidics and Nanofluidics 18 (2015), 167-174.

M. A. Sleigh, The Biology of Cilia and Flagella, MacMillan, New York, USA, 1962.

T. J. Lardner and W. J. Shack, Cilia transport, Bull. Math. Biophys. 34 (1972), 325-335.

J. R. Blake, A model for the micro-structure in ciliated organisms, J. Fluid Mech. 55 (1972), 1-23.

T. Y. Wu, Fluid mechanics of ciliary propulsion, Proc. Tenth Annual Meeting of the Society of Engineering Science, Yale University, Connecticut, USA, 1973.

C. Brennen, An oscillating boundary layer theory for ciliary propulsion, J. Fluid Mech. 65 (1974), 799-824.

M. A. Sleigh and E. Aiello, The movement of water by cilia, Acta Protozool. 11 (1972), 265-277.

H. Agarwal and A. Uddin, Cilia transport of bio-fluid with variable viscosity, Indian J. Pure Appl. Math. 15 (1984), 1128-1139.

J. R. Blake, A spherical envelope approach to ciliary propulsion, J. Fluid Mech. 46 (1971), 199-208.

C. E. Miller, An investigation of the movement of Newtonian liquids initiated and sustained by the oscillation of mechanical cilia, Aspen Emphysema Conf., Aspen, Colorado, USA, 1967.

C. Barton and S. Raynor, Analytical investigation of cilia induced mucous flow, Bull. Math. Biophys. 29 (1967), 419-428.

D. J. Smith, E. A. Gaffney and J. R. Blake, A viscoelastic tracting layer model of muco-ciliary transport, Bull. Math. Biol. 69 (2007), 289-327.

A. Dauptain, J. Favier and A. Battaro, Hydrodynamics of ciliary propulsion, J. Fluid Struct. 24 (2008), 1156-1165.

S. N. Khaderi and P. R. Onck, Fluid-structure interaction of three-dimensional magnetic artificial cilia, J. Fluid Mech. 708 (2012), 303-328.

S. N. Khaderi, J. M. J. den Toonder and P. R. Onck, Fluid flow due to collective non-reciprocal motion of symmetrically-beating artificial cilia, Biomicrofluidics 6 (2012), 014106-014120.

S. N. Khaderi, C. B. Craus, J. Hussong, N. Schorr, D. J. Belardi, J. Westerweel, O. Prucker, D. J. Ruhe, J. M. J. den Toondere and P. R. Onck, Magnetically-actuated artificial cilia for microfluidic propulsion, Lab Chip 11 (2011), 2002-2010.

G. A. Truskey, F. Yuan and D. F. Katz, Transport Phenomena in Biological Systems, Pearson, New Jersey, 2004.

O. Coussy, Mechanics of Porous Continua, Butterworths, USA, 1993.

A. R. A. Khaled and K. Vafai, The role of porous media in modelling flow and heat transfer in biological tissues, Int. J. Heat Mass Transf. 46 (2003), 4989-5003.

P. G. Staffman, On the boundary condition at the surface of a porous medium, Stud. Appl. Math. 50 (1971), 93-101.

B. Jeffrey, H. S. Udaykumar and K. S. Schulze, Flow fields generated by peristaltic reflex in isolated guinea pig ileum: impact of contraction depth and shoulders, Am. J. Physiol. Gastrointest. Liver Physiol. 285 (2003), 907-918.

E. F. Elshehawey, N. T. Eldabe, E. M. Elghazy and A. Ebaid, Peristaltic transport in a symmetric channel through a porous medium, Appl. Math. Comput. 182 (2006), 140-150.

D. Tripathi and O. A. Beg, A study of unsteady physiological magneto-fluid flow and heat transfer through a finite length channel by peristaltic pumping, Proc. Inst. Mech. Eng. Part H: J. Eng. Medi. 226(8) (2012), 631-644.

A. Bejan, A study of entropy generation on fundamental convective heat transfer, J. Heat Transf. 101 (1979), 718-725.

M. Pakdemirli and B. S. Yilbas, Entropy generation in a pipe due to non-Newtonian fluid flow: constant viscosity case, Sadhana 31 (2006), 21-29.

E. Abu Nada, Entropy generation due to heat and fluid flow in backward facing step flow with various expansion ratios, Int. J. Exergy 3 (2006), 419-435.

H. F. Oztop, A. Z. Sahin and I. Dagtekin, Entropy generation through hexagonal cross-sectional duct for constant wall temperature in laminar flow, Int. J. Energy Res. 28 (2004), 725-737.

I. Dagtekin, H. F. Oztop and A. Z. Sahin, An analysis of entropy generation through circular duct with different shaped longitudinal fins for laminar flow, Int. J. Heat Mass Transf. 48 (2005), 171-181.

F. Selimefendigil, H. F. Oztop and O. Mahian, Effects of a partially conductive partition in MHD conjugate convection and entropy generation for a horizontal annulus, J. Therm. Anal. Calorim. 139 (2020), 1537-1551.

I. Dagtekin, H. F. Oztop and A. Bahloul, Entropy generation for natural convection in G-shaped enclosures, Int. Commun. Heat Mass Trans. 34 (2007), 502-510.

H. F. Oztop and K. Al-Salem, A review on entropy generation in natural and mixed convection heat transfer for energy systems, Ren. Sust. En. Reviews 16 (2012), 911-920.

A. Shafee, M. Sheikholeslami, M. Jafaryar and H. Babazadeh, Irreversibility of hybrid nanoparticles within a pipe fitted with turbulator, J. Therm. Anal. Calorim. (2020). doi:10.1007/s10973-019-09248-8.

N. S. Akbar, Entropy generation analysis for a CNT suspension nanofluid in plumb ducts with peristalsis, Entropy 17 (2015), 1411-1424.

H. Babazadeh, T. Ambreen, S. A. Shehzad and A. Shafee, Ferrofluid non-Darcy heat transfer involving second law analysis: an application of CVFEM, J. Therm. Anal. Calorim. (2020). doi:10.1007/s10973-020-09264-z.

N. S. Akbar, Entropy generation and energy conversion rate for the peristaltic flow in a tube with magnetic field, Energy 82 (2015), 23-30.

R. Ellahi, M. M. Bhatti, C. Fetecau and K. Vafai, Peristaltic flow of couple stress fluid in a non-uniform rectangular duct having compliant walls, Commun. Theor. Phys. 65 (2016), 66-72.

N. S. Akbar, Biofluidics study in digestive system with thermal conductivity of shape nanosize nanoparticles, J. Bionic Eng. 12 (2015), 656-663.

N. S. Akbar, A new thermal conductivity model with shaped factor ferromagnetism nanoparticles study for the blood flow in non-tapered stenosed arteries, IEEE Trans. NanoBioscience 14 (2015), 780-789.

R. Ellahi, S. U. Rehman, S. Nadeem and Noreen Sher Akbar, Influence of heat and mass transfer on micropolar fluid of blood flow through a tapered stenosed arteries with permeable walls, J. Comput. Theor. Nanosci. 11 (2014), 1156-1163.

S. Nadeem and H. Sadaf, Theoretical analysis of Cu-blood nanofluid for metachronal wave of cilia motion in a curved channel, Trans. Nanobiosci. 14 (2015), 447-454.

N. S. Akbar and Z. H. Khan, Heat transfer analysis of bi-viscous ciliary motion fluid, Int. J. Biomath. 8 (2015), Article ID 1550026.

N. S. Akbar, Biomathematical analysis of carbon nanotubes due to ciliary motion, Int. J. Biomath. 8 (2015), Article ID 1550023.

S. Nadeem and H. Sadaf, Ciliary motion phenomenon of viscous nanofluid in a curved channel with wall properties, Eur. Phys. J. Plus 131 (2016), 65-75.

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Published

2023-09-04

Issue

Vol. 36 No. 1 (2023)

Section

Articles

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How to Cite

HEAT CONDUCTION FOR AN MHD VISCOUS FLUID WITH ENTROPY GENERATION ANALYSIS. (2023). Far East Journal of Dynamical Systems, 36(1), 105-127. https://doi.org/10.17654/0972111823005