PARTIAL SLIP EFFECT OF $\mathrm{Cu}, \mathrm{Au}, \mathrm{TiO}_2$-NANOPARTICLES IN STEADY BIOMAGNETIC FLUID FLOW AND HEAT TRANSFER OVER A STRETCHING SHEET IN THE PRESENCE OF MAGNETIC DIPOLE
Keywords:
biomagnetic fluid, magnetic dipole, non-Newtonian nanofluid, nanoparticles, blood, stretching sheet, heat transferDOI:
https://doi.org/10.17654/0975044424003Abstract
In this paper, we analyzed the biomagnetic fluid flow and heat transfer in a nanofluid over a stretching sheet in the presence of magnetic dipole. The effects of velocity slip are considered in this study. Three different types of nanofluids, namely the Copper-blood, the Gold-blood and titanium dioxide-blood are considered. The governing partial differential equations are transformed into ordinary differential equations using suitable transformation. Numerical solutions of these equations are obtained by using bvp4c function technique in MATLAB software. Inside the boundary layer, the variations of velocity, temperature as well as skin friction coefficient and the rate of heat transfer at the sheet for various values of the appearing parameter, namely the ferromagnetic parameter, Prandtl number, volume friction, slip parameter are presented graphically and discussed in detail. The obtained results show that Gold has higher rate of heat transfer compared to Copper and Titanium dioxide. A good agreement is found between the present numerical results and the available results in the literature in some specific cases.
Received: March 22, 2023
Accepted: April 22, 2023
References
S. U. S. Choi, Z. G. Zhang, W. Yu, F. E. Lockwood and E. A. Grulke, Anomalously thermal conductivity enhancement in a nanotube suspensions, Appl. Phys. Lett. 79 (2001), 2252-2254.
N. Bachok, A. Ishak and I. Pop, Stagnation-point flow over a stretching/shrinking sheet in a nanofluid, Nanoscale Research Letters 6 (2011), Article number 623.
1186/1556-276X-6-623.
O. D. Makinde and A. Aziz, Boundary layer flow of a nanofluid past stretching sheet with convective boundary condition, Int. J. Therm. Sci. 50 (2011), 1326-1332.
A. Ogulu and E. Amos, Modeling pulsatile blood flow within a homogeneous porous bed in the presence of a uniform magnetic field and time-dependent suction, Int. Commun. Heat Mass Transfer 34 (2007), 989-995.
I. M. Hatam, J. Hatami and D. D. Ganji, Computer simulation of MHD blood conveying gold nanoparticles as a third grade non-Newtonian nanofluid in a hollow porous vessel, Comput. Methods Programs Biomed. 113 (2014), 632-641.
R. Kandasamy, R. Mohamad and M. Ismoen, Impact of chemical reaction on Cu, Al2O3 and SWCNTS-nanofluid flow under slip conditions, Int. J. Eng. Sci. Technol. 19 (2015), 700-709. 10.1016/j.jestch.2015.11.011.
K. M. Vajravelu, K. V. Prasad, L. Jinho, L. Chanhoon, I. Pop and A. Robert, Convective heat transfer in the flow of viscous Ag-water and Cu-water nanofluids over a stretching surface, Int. J. Therm. Sci. 50 (2011), 843851.
A. Ahmed and S. Nadeem, The study of (Cu, TiO2, Al2O3) nanoparticles as antimicrobials of blood flow through diseased arteries, J. Mol. Liq. 216 (2016), 615-623.
M. M. Bhatti, A. Zeeshan and R. Ellahi, Endoscope analysis on peristaltic blood flow of Sisko fluid with Titanium magneto-nanoparticles, Comput. Biol. Med. 78 (2016), 29-41.
A. Rahbari, M. Fakour and A. Hamzehnezhad, Heat transfer and fluid flow of blood with nanoparticles through porous vessels in a magnetic field: a quasi-one dimensional analytical approach, Math. Biosci. 83 (2017), 38-47.
U. Khan, N. Ahmed and S. T. Mohyud-Din, Stoke’s first problem for carbon nanotubes suspended nanofluid flow under the effect of slip boundary condition, J. Nanofluids 5 (2016), 239-244.
W. Abbas and M. M. Magdy, Heat and mass transfer analysis of nanofluid flow based on Cu, Al2O3 and TiO2 over a moving rotating plate and impact of various nanoparticle shapes, Math. Probl. Eng. (2020), Article ID 9606382, 1-12.
B. A. Kutta, S. Manjunthm, S. Jayanthi and B. J. Gressha, Performance of four different nanoparticles in boundary layer flow over a stretching sheet in porous medium driven by buoyancy force, Int. J. Appl. Mech. Eng. 25(2) (2020), 1-10.
W. H. Azmi, K. Abdul Hamid, N. A. Usri, R. Mamat and M. S. Mohamad, Heat transfer and friction factor of water and ethylene glycol mixture based TiO2 and Al2O3 nanofluids under turbulent flow, International Communications in Heat and Mass Transfer 76 (2016), 24-32.
A. R. Sajadi and M. H. Kazemi, Investigation of turbulent convective heat transfer and pressure drop of TiO2/water nanofluid in circular tube, International Communications in Heat and Mass Transfer 38 (2011), 1474-1478.
S. R. R. Reddy and P. B. A. Reddy, Biomathematical analysis for the stagnation point flow over nonlinear stretching surface with the second order velocity slip and Titanium alloy nanoparticle, Frontiers in Heat and Mass Transfer (FHMT) 10(13) (2018), 1-11.
R. Sharma, A. Ishak and I. Pop, Partial slip flow and heat transfer over a stretching sheet in a nanofluid, Math. Probl. Eng. (2013), Article ID 9606382, 1-7. 10.1155/2013/72457.
E. E. Tzirtzilakis, A simple numerical methodology for BFD problems using stream function vorticity formulation, Comm. Numer. Methods Engrg. 24 (2008), 683-700.
H. I. Andersson and O. A. Valnes, Flow of a heated ferrofluid over a stretching sheet in the presence of a magnetic dipole, Acta Mechanica 128(1-2) (1998), 39-47.
S. Aman, I. Khan and M. Z. Salleh, Impacts of gold nanoparticles on MHD mixed convection Poiseuille flow of nanofluid passing through a porous medium in the presence of thermal radiation, thermal diffusion and chemical reaction, Neural Comput. Appl. 30 (2018), 789-797. 10.1007/s00521-016-2688-7.
M. J. Alam and M. G. Murtaza, Two dimensional biomagnetic fluid flow and heat transfer over a nonlinear stretching sheet with temperature dependent viscosity, Scholars Journal of Physics, Mathematics and Statistics 7(8) (2020), 131-142.
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