Time-dependent MHD free Convective Heat and Mass Nanofluid Flow through a Vertical Porous Sheet in the Presence of Thermal Radiation
DOI:
https://doi.org/10.38032/scse.2025.3.36Keywords:
MHD, nanofluid, thermal radiationAbstract
In the present study, the influences of thermal radiation on time-dependent MHD free convective heat flow and mass nanofluid flow across a vertical permeable sheet have been explored. By applying an effective similarity transformation, the primary partial differential equations (PDEs) are transformed into interconnected nonlinear ordinary differential equations (ODEs). The MATLAB ODE45 tool is used to numerically calculate dimensionless ODEs utilizing the finite difference method (FDM) with shooting technique. Four different water-based nanofluids including copper (Cu), titanium dioxide (), aluminum oxide (), and silver as a nanoparticles are taken into account. The study explains how non-dimensional parameters such as thermal radiation parameter (R), nanoparticle volume fraction (), Prandtl number (Pr), magnetic force parameter (M), and Schmidt number (Sc) affect fluid velocity, temperature, and concentration distribution. The consequences of the volume percentage of copper nanoparticles (up to 4%) on the distributions of velocity, temperature, and concentration are also graphically displayed. The temperature, concentration, and velocity profiles rise with copper nanoparticle volume percentage between 0% and 4%. Increasing volume fraction of nanoparticles () from 0.01 to 0.04 lessen local Nusselt number and boosts skin friction coefficient by 48% and 32%, respectively. As thermal radiation parameter rises from 0.6 to 3.6, skin friction coefficient rises and local Nusselt number drops by 14% and 41%, respectively. Nanofluid Velocity, concentration, and temperature all lessen as the time-dependent parameter's value grows. In conclusion, a comparison was made between our findings and those of the previously published studies. The comparison indicates a high degree of consistency.
Downloads
Downloads
Downloads
References
[1] M.A. Kumar, Y.D. Reddy, V.S. Rao, B.S. Goud, Thermal radiation impact on MHD heat transfer natural convective nanofluid flow over an impulsively started vertical plate, Case Stud. Therm. Eng. 24 (2021), 100826. DOI: https://doi.org/10.1016/j.csite.2020.100826
[2] Y.S. Daniel, Z.A. Aziz, Z. Ismail, F. Salah, Effects of thermal radiation, viscous and Joule heating on electrical MHD nanofluid with double stratification, Chin. J. Phys. 55 (3) (2017) 630–651. DOI: https://doi.org/10.1016/j.cjph.2017.04.001
[3] Choi, S., Enhancing Thermal Conductivity of Fluids with Nanoparticles, ASME-Publications-Fed, 231 (1995), pp. 99-106. DOI: https://doi.org/10.1115/IMECE1995-0926
[4] K Koo, J., Kleinstreuer, C., A New Thermal Conductivity Model for Nanofluids, Journal of Nanoparticle Research, 6 (2004), 6, pp. 577-588. DOI: https://doi.org/10.1007/s11051-004-3170-5
[5] Das, S. K., et al., Temperature Dependence of Thermal Conductivity Enhancement for Nanofluids, Journal of Heat Transfer, 125 (2003), 4, pp. 567-574. DOI: https://doi.org/10.1115/1.1571080
[6] M.A. Samad, M. Mansur-Rahman, Thermal radiation interaction with unsteady MHD flow past a vertical porous plate immersed in a porous medium, J. Nav. Architect. Mar. Eng. 3 (1) (2006) 7–14 DOI: https://doi.org/10.3329/jname.v3i1.924
[7] U. Khan, B. Adnan Ullah, H. Abdul Wahab, I. Ullah, M.A. Almuqrin, I. Khan, Comparative
thermal transport mechanism in Cu-H2O and Cu-Al2O3/H2O nanofluids: numerical investigation, Waves in Random and Complex Media (2022) 1–16.
[8] V. Rajesh, A.J. Chamka, D. Bhanumathi, S. Vijaykumar, Radiation and chemical reaction effects on unsteady MHD free convection flow of a dissipative fluid past an infinite vertical plate with Newtonian heating, Comput. Therm. Sci.: Int. J. 5 (5) (2013). DOI: https://doi.org/10.1615/ComputThermalScien.2013005804
[9] Barmon, A., Hasanuzzaman, M., & Hasan, M. K. (2024). Radiative and Lorentz’s effects on MHD free convective mass and heat transfer time-dependent nanofluid flow across vertical perforated plate. Alexandria Engineering Journal, 104, 266-278. DOI: https://doi.org/10.1016/j.aej.2024.05.060
[10] Hasanuzzaman, M., Azad, M. A. K., & Hossain, M. M. (2021). Effects of Dufour and thermal diffusion on unsteady MHD free convection and mass transfer flow through an infinite vertical permeable sheet. SN Applied Sciences, 3(12), 882. DOI: https://doi.org/10.1007/s42452-021-04842-8
[11] Ahmad, S., Rohni, A. M., & Pop, I. (2011). Blasius and Sakiadis problems in nanofluids. Acta Mechanica, 218, 195-204. DOI: https://doi.org/10.1007/s00707-010-0414-6
[12] Tiwari, R. K., & Das, M. K. (2007). Heat transfer augmentation in a two-sided lid-driven differentially heated square cavity utilizing nanofluids. International Journal of heat and Mass transfer, 50(9-10), 2002-2018. DOI: https://doi.org/10.1016/j.ijheatmasstransfer.2006.09.034
[13] Raptis, A. (1998). Flow of a micropolar fluid past a continuously moving plate by the presence of radiation. International Journal of Heat and Mass Transfer, 18(41), 2865-2866. DOI: https://doi.org/10.1016/S0017-9310(98)00006-4
[14] Raptis, A. (1999). Radiation and viscoelastic flow. International Communications in Heat and Mass Transfer, 26(6), 889-895. DOI: https://doi.org/10.1016/S0735-1933(99)00077-9
Published
Conference Proceedings Volume
Section
License
Copyright (c) 2025 Ashish Barmon , Md Hasanuzzaman (Author)
This work is licensed under a Creative Commons Attribution 4.0 International License.
All the articles published by this journal are licensed under a Creative Commons Attribution 4.0 International License
