ORIGINAL PAPER
Hybrid Nanoparticles and liquid metal on MHD flow with slip boundary layer on Permeable arterial tube
More details
Hide details
1
Mathematics, Wachemo University, Ethiopia
Submission date: 2025-05-31
Final revision date: 2025-07-26
Acceptance date: 2026-03-19
Online publication date: 2026-06-01
Publication date: 2026-06-01
International Journal of Applied Mechanics and Engineering 2026;31(2):168-178
KEYWORDS
TOPICS
ABSTRACT
This paper investigates the hybrid effect of Nanoparticles and liquid metal on MHD flow with slip boundary layer on Permeable arterial tube subjected to external electromagnetic fields and slip boundary conditions. Blood based carrier fluid with two different particles have been modelled and are used to describe a physiologically relevance of combined effect of nanofluid and MHD liquid metal.
The governing equations, such as momentum, energy, and mass transfer, are derived through boundary layer approximations and similarity transformations, which reduce the system of PDEs to a set of nonlinear ODEs. The equations incorporate major physical effects such as viscous dissipation, Brownian motion, thermophoresis, and chemical reactions. MATLAB's shooting method in association with a Runge-Kutta solver is used to solve the resulting ODEs.
The study examines the influence of various parameters including the Hartmann number, permeability factor, nanoparticle volume fraction, and slip coefficients on axial velocity, temperature, and concentration profiles.
The findings show the enhancement of heat transfer and flow stability resulting from the incorporation of hybrid nanoparticles and extensive modification of velocity and temperature distributions by magnetic and slip effects. Such analysis provides valuable inputs to maximize the uses of blood-based nanofluid in biomedical engineering, drug delivery, and magnetic field-assisted therapies.
REFERENCES (31)
1.
Shapiro B., Kulkarni S., Nacev A., Muro S., Stepanov P.Y. and Weinberg I.N. (2015): Open challenges in magnetic drug targeting.– Wiley Interdisciplinary Reviews: Nanomedicine and Nanobiotechnology, vol.7, No.3, pp.446-457, DOI:10.1002/wnan.1311.
2.
Dobson J. (2006): Magnetic nanoparticles for drug delivery.– Drug Development Research, vol.67, No.1, pp.55-60, DOI:10.1002/ddr.20067.
3.
Khandhar A.P., Ferguson R.M., Simon J.A. and Krishnan K.M. (2017): Tailored magnetic nanoparticles for optimizing magnetic fluid hyperthermia.– Journal of Biomedical Materials Research Part A, vol.101, No.3, pp.783-791, DOI:10.1002/jbm.a.35974.
4.
Eastman J.A., Choi S.U.S., Li S. and Thompson L.J. (2001): Anomalously increased effective thermal conductivities of ethylene glycol-based nanofluids containing copper nanoparticles.– Applied Physics Letters, vol.78, No.6, pp.718-720, DOI:10.1063/1.1341218.
5.
Ho C.J., Wei L.C. and Li Z.W. (2010): An experimental investigation of forced convective cooling performance of a microchannel heat sink with Al₂O₃/water nanofluid.– Applied Thermal Engineering, vol.30, No.2-3, pp.96-103, DOI:10.1016/j.applthermaleng.2009.08.010.
6.
Alexis F., Pridgen E., Molnar L.K. and Farokhzad O.C. (2008): Factors affecting the clearance and biodistribution of polymeric nanoparticles.– Molecular Pharmaceutics, vol.5, No.4, pp.505-515, DOI:10.1021/mp800051m.
7.
Dykman L. and Khlebtsov N. (2012): Gold nanoparticles in biology and medicine: recent advances and prospects.– Acta Naturae, vol.4, No.2, pp.34-55.
8.
Rai M., Yadav A. and Gade A. (2009): Silver nanoparticles as a new generation of antimicrobials.– Biotechnology Advances, vol.27, No.1, pp.76-83, DOI:10.1016/j.biotechadv.2008.09.002.
9.
Yang H., Zhuang Y., Sun Y., Dai A., Shi X. and Wu D. (2014): Targeted dual-drug delivery system for enhanced antitumor efficacy based on hollow mesoporous silica nanoparticles.– ACS Applied Materials & Interfaces, vol.6, No.19, pp.17005-17013, DOI:10.1021/am505865a.
10.
Dickey M.D. (2017): Stretchable and soft electronics using liquid metals.– Advanced Materials, vol.29, No.27, pp.1606425, DOI:10.1002/adma.201606425.
11.
Tang S.Y., Zhang J. and Kalantar-Zadeh K. (2019): Flexible liquid metal microelectronic systems.– Advanced Intelligent Systems, vol.1, No.1, p.1900012, DOI:10.1002/aisy.201900012.
12.
Joshipura I.D., Ayers H.R., Castillo G.A. and Dickey M.D. (2019): Patterning and reversible actuation of liquid metal via electrowetting.– Science Advances, vol.5, No.6, pp.1240, DOI:10.1126/sciadv.aaw1240.
13.
Karniadakis G.E., Beskok A. and Aluru N.R. (2005): Microflows and Nanoflows: Fundamentals and Simulation.– New York, NY, USA: Springer.
14.
Smith N.P., Pullan A.J. and Hunter P.J. (2002): An anatomically based model of transient coronary blood flow in the heart.– SIAM Journal on Applied Mathematics, vol.62, No.3, pp.990-1018, DOI:10.1137/S0036139901382210.
15.
Jain R.K. (1987): Transport of molecules across tumor vasculature.– Cancer and Metastasis Reviews, vol.6, No.4, pp.559-593.
16.
Truskey G.A., Yuan F. and Katz D.F. (2004): Transport Phenomena in Biological Systems.– Upper Saddle River, NJ, USA: Pearson Education.
17.
Li Q., Wang Y. and Zhang H. (2025): Numerical simulation of targeted drug delivery using hybrid nanofluids under electromagnetic fields.– Computers in Biology and Medicine, vol.188, 109819, DOI:10.1016/j.compbiomed.2025.109819.
18.
Rauf A. and Khan Z.H. (2025): Nonlinear dynamics of nanofluid flow in permeable arteries with radiation and chemical reaction effects.– Nonlinear Dynamics, vol.113, No.12, pp.15441-15467, DOI:10.1007/s11071-025-10890-1.
19.
Khan M.I. and Shehzad S.A. (2024): Heat and mass transport of liquid metal-based hybrid nanofluids in.
20.
a porous artery with velocity slip.– International Communications in Heat and Mass Transfer, vol.152, pp.107313, DOI:10.1016/j.icheatmasstransfer.2024.107313.
21.
Zheng L., Zhao H., Tang Y. and Wang F. (2023): A numerical investigation of Fe₃O₄–Hg hybrid nanofluid flow under magnetic field and porous media effects.– Journal of Molecular Liquids, vol.390, pp.122959, DOI:10.1016/j.molliq.2023.122959.
22.
Rashidi M.M., Sadri M. and Sheremet M.A. (2021): Numerical simulation of hybrid nanofluid mixed convection in a lid-driven square cavity with magnetic field.– Nanomaterials, vol.11, No.9, pp.2250, DOI:10.3390/nano11092250.
23.
Dawood A.S., Kroush F.A., Abumandour R.M. and Eldesoky I.M. (2024): Effect of slip boundary conditions on unsteady pulsatile nanofluid flow through a sinusoidal channel: an analytical study.– Boundary Value Problems, vol.2024, No.59, DOI:10.1186/s13661-024-01862-2.
24.
Abbas Z., Hassan A., Rafiq M.Y. and Goher S. (2026): Slip boundary effects on hybrid nanofluid flow with activation energy and viscous dissipation in rotating rectangular systems.– Kuwait Journal of Science, vol.53, 100547, DOI:10.1016/j.kjs.2026.100547.
25.
Azar A.A., Jalili P., Moziraji Z.P., Jalili B. and Domiri Ganji D. (2024): Analytical solution for MHD nanofluid flow over a porous wedge with melting heat transfer.– Heliyon, vol.10, No.15, e34888, DOI:10.1016/j.heliyon.2024.e34888.
26.
Omama M., Arafa A., Elsaid A., Waheed K. and Zahra (2025): MHD tri-hybrid nanofluid blood flow in a porous cylinder: insights from fractional relaxation modeling with thermal radiation and slip velocity boundary condition.– Journal of Applied Mathematics and Mechanics, vol.105, No.1, DOI:10.1002/zamm.202400375.
27.
Khanafar K., Al-Amiri A. and Pop I. (2008): Numerical analysis of natural convection heat transfer in.
28.
a horizontal annulus partially filled with a fluid-saturated porous substrate.– International Journal of Heat and Mass Transfer, vol.51, pp.1613-1627, DOI:10.1016/j.ijheatmasstransfer.2007.07.050.
29.
Jasim L.M., Hamzah H., Canpolat C. and Sahin B. (2020): Mixed convection flow of hybrid nanofluid through.
30.
a vented enclosure with an inner rotating cylinder.– International Communications in Heat and Mass Transfer, vol.120, 105086, DOI:10.1016/j.icheatmasstransfer.2020.105086.
31.
Ibrahim W. and Shankar B. (2013): MHD boundary layer flow and heat transfer of a nanofluid over a permeable stretching sheet with velocity, thermal and solutal slip boundary conditions.– Computers and Fluids, vol.75, pp.1-10, DOI:10.1016/j.compfluid.2013.01.014.