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This investigations covers the numerical analysis of a steady biomagnetic fluid flow (BFD) that passed through a two dimensional stretching sheet under the influence of magnetic dipole. The effect of fluid variable viscosity and thermal conductivity are also taken into consideration as assumed to vary as linear function of temperature. Our model mathematically formulated for BFD namely blood which consist of principles of magnetohydrodynamic (MHD) and ferrohydrodynamic (FHD), where blood treated as an electrically conducting fluid as well as polarization. Using similarity transformations, the governing system of partial differential equations are transferred into system of ordinary differential equations (ODE). The resulting coupled non linear ODE is numerically solved by employing bvp4c function technique available in MATLAB software. The effects of pertinent parameters namely ferromagnetic interaction parameter, magnetic field parameter, mixed convection parameter, viscosity variation parameter, Prandtl number, thermal conductivity parameter etc are plotted and discussed adequately for velocity and temperature profile as well as skin friction coefficient and rate of heat transfer. The results revels that velocity profile decreases as enhanced values of ferromagnetic number whereas temperature profile increased. Also found that skin friction coefficient reduces and rate of heat transfer increases by increasing values of thermal conductivity parameter and viscosity variation parameter. For numerical validation a comparisons has been made for some specific values with previous investigators. We hope that the present analysis will present in bio-medical and bio-engineering sciences.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Strony
193--208
Opis fizyczny
Bibliogr. 42 poz., rys., tab., wykr.
Twórcy
autor
- Department of Mathematics, Comilla University, Cumilla-3506, Bangladesh
autor
- Research Group of Fluid Flow Modeling and Simulation, Department of Applied Mathematics, University of Dhaka, Dhaka-1000, Bangladesh
autor
- Fluid Mechanics and Turbomachinary Laboratory, Department of Mechanical Engineering, University of the Peloponnese, Tripoli, Greece
autor
- Department of Mathematics, Vaagdevi College of Engineering (Autonomous), Warangal, Telangana State, India
autor
- Research Group of Fluid Flow Modeling and Simulation, Department of Applied Mathematics, University of Dhaka, Dhaka-1000, Bangladesh
Bibliografia
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- [3] Tzirtzilakis, E. E. and Kafoussias, N. G., Biomagnetic fluid flow over astretching sheet with nonlinear temperature dependent magnetization, Z. Angew. Math. Phys.(ZAMP), 2003;8:54-65.
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- [9] Sharidan, S, Mahmood, T., Pop, I., Similarity solutions for the unsteady boundary layer flow and heat transfer due to a stretching sheet, Int J Appl Mech Eng.,2006; 11: 647–54.
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- [22] Subhas Abel, M., Siddheshwar, PG. and Mahesha, N., Effects of thermal buoyancy and variable thermal conductivity on the MHD flow and heat transfer in a power-law fluid past a vertical stretching sheet in the presence of a non-uniform heat source, International Journal of Non-Linear Mechanics, 2009; 44: 1–12 .
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- [35] Murtaza, M. G., Tzirtzilakis, E. E. and Ferdows, M., Duality of Biomagnetic fluid flow and heat Transfer over a quadratic stretched sheet, J. of Power Technologies, 2021; 101(3):154-162
- [36] Reddy, S.R.R., Bala Anki Reddy, Suneetha, S. P., Magnetohydro dynamic flow of blood in a permeable inclined stretching surface with viscous dissipation, no-uniform heat source/sink and chemical reaction, Frontiers in Heat and Mass Transfer(FHMT), 2018; 10.
- [37] Misra, J. C., Shit, G. C., Biomagnetic viscoelastic fluid flow over a stretching sheet, Applied Mathematics and Computation, 2009; 210: 350-361.
- [38] Tzirtzilakis, E.E., Tanoudis, G.B., Numerical study of biomagnetic fluid flow over a stretching sheet with heat transfer, Int. J. Numer. Methods Heat Fluid flow, 2003; 13: 830–848.
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- [40] Murtaza, M. G., Tzirtzilakis, E. E. and Ferdows, M., Three-Dimensional Biomagnetic Flow and Heat Transfer over a Stretching Surface with Variable Fluid Properties, Advanced in mechanics and Mathematics, 2019; 41: 403-414.
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- [42] Loukopoulos, V. C., Tzirtzilakis, E. E., Biomagnetic channel flow in spatially varying Magnetic field. International Journal of Engineering Science, 2004; 42: 571-590.
Uwagi
PL
Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2024).
Typ dokumentu
Bibliografia
Identyfikator YADDA
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