Abstract
The influence of a magnetic field on an electrically conducting fluid over a porous plate has piqued the interest of a wide range of specialists, from plasma scientists to nuclear reactor operators to geothermal energy producers to aerodynamics researchers. Magneto-hydrodynamics (MHD) and heat transfer have recently received a lot of interest for new applications in metallurgical processing, for example. Excessive heat transfer is controlled by using magnetic fields in the process of melting refinement. The natural convection flow of various nanofluids along an infinitely long vertical plate embedded in a porous medium is examined in this study using ramping wall velocity and temperature. Copper, titanium dioxide, and aluminium oxide nanoparticles are all mixed together with water as the primary fluid. These estimates additionally take into account non-linear thermal radiation flow and heat injection/consumption effects. Mass and heat transfer equations can be approximated using the Laplace transform. Graphs are used to explain the physical characteristics of the related parameters.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Choi, S.U., Eastman, J.A.: Enhancing Thermal Conductivity of Fluids with Nanoparticles. Argonne National Lab, IL, USA (1995)
Eastman, J.A., Choi, U.S., Li, S., Thompson, L.J., Lee, S.: Enhanced thermal conductivity through the development of nanofluids. MRS Proc. 457, 3–11 (1996). https://doi.org/10.1557/PROC-457-3
Choi, S.U.S., Zhang, Z.G., Yu, W., Lockwood, F.E., Grulke, E.A.: Anomalous thermal conductivity enhancement in nanotube suspensions. Appl. Phys. Lett. 79, 2252–2254 (2001). https://doi.org/10.1063/1.1408272
Akmal, N., Sagheer, M., Hussain, S., Kamran, A.: Investigation of free convection in micropolar nanofluid with induced magnetic field. Eur. Phys. J. Plus 134, 235 (2019). https://doi.org/10.1140/epjp/i2019-12512-7
Kumar, T.S., Kumar, B.R., Makinde, O.D., Vijaya Kumar, A.G.: Magneto-convective heat transfer in micropolar nanofluid over a stretching sheet with non-uniform heat source/sink. Defect Diffus. Forum 387, 78–90 (2018). https://doi.org/10.4028/www.scientific.net/ddf.387.78
Das, S.K., Choi, S.U.S.: A review of heat transfer in nanofluids. In: Irvine, T.F., Hartnett, J.P. (eds.) Advances in Heat Transfer, vol. 41, pp. 81–197. Elsevier (2009). https://doi.org/10.1016/s0065-2717(08)41002-x
Sravan kumar, T.: Impact of Lorentz force on free convection flow of a viscous fluid past an infinite vertical plate. SN Appl. Sci. 1, 1257 (2019). https://doi.org/10.1007/s42452-019-1292-8
Sravan Kumar, T., Dinesh, P.A., Makinde, O.D.: Impact of Lorentz force and viscous dissipation on unsteady nanofluid convection flow over an exponentially moving vertical plate. Math. Models Comput. Simul. 12, 631–646 (2020). https://doi.org/10.1134/s2070048220040110
Shah, Z., Alzahrani, E.O., Dawar, A., Ullah, A., Khan, I.: Influence of Cattaneo-Christov model on DarcyForchheimer flow of Micropolar Ferrofluid over a stretching/shrinking sheet. Int. Commun. Heat Mass Transf. 110, 104385 (2020). https://doi.org/10.1016/j.icheatmasstransfer.2019.104385
Tiwari, A., Shah, P.D., Chauhan, S.S.: Analytical study of micropolar fluid flow through porous layered microvessels with heat transfer approach. Eur. Phys. J. Plus 135, 209 (2020). https://doi.org/10.1140/epjp/s13360-020-00128-x
Mahdy, A., ElShehabey, H.M.: Uncertainties in physical property effects on viscous flow and heat transfer over a nonlinearly stretching sheet with nanofluids. Int. Commun. Heat Mass Transf. 39, 713–719 (2012). https://doi.org/10.1016/j.icheatmasstransfer.2012.03.019
Mahdy, A.: Unsteady mixed convection boundary layer flow and heat transfer of nanofluids due to stretching sheet. Nucl. Eng. Des. 249, 248–255 (2012). https://doi.org/10.1016/j.nucengdes.2012.03.025
Vemula, R., Chamkha, A.J., Mallesh, M.P.: Nanofluid flow past an impulsively started vertical plate with variable surface temperature. Int. J. Numer. Methods Heat Fluid Flow 26, 328–347 (2016). https://doi.org/10.1108/hff-07-2014-0209
Kumaresan, E., Sravan Kumar, T., Suresh Babu, R.: MHD slip flow and heat transfer of Cu-Fe3O4/ethylene glycol-based hybrid nanofluid over a stretching surface. Biointerf. Res. Appl. Chem. 11, 11956–11968 (2020). https://doi.org/10.33263/briac114.1195611968
Cao, Z., Zhao, J., Wang, Z., Liu, F., Zheng, L.: MHD flow and heat transfer of fractional Maxwell viscoelastic nanofluid over a moving plate. J. Mol. Liq. 222, 1121–1127 (2016). https://doi.org/10.1016/j.molliq.2016.08.012
Mahanthesh, B., Gireesha, B.J., Gorla, R.S.R., Abbasi, F.M., Shehzad, S.A.: Numerical solutions for magnetohydrodynamic flow of nanofluid over a bidirectional non-linear stretching surface with prescribed surface heat flux boundary. J. Magn. Magn. Mater. 417, 189–196 (2016). https://doi.org/10.1016/j.jmmm.2016.05.051
Hamad, M.A.A., Pop, I., Md Ismail, A.I.: Magnetic field effects on free convection flow of a nanofluid past a vertical semi-infinite flat plate. Non-linear Anal.: Real World Appl. 12, 1338–1346 (2011). https://doi.org/10.1016/j.nonrwa.2010.09.014
Khan, W.A., Rashad, A.M., El-Kabeir, S.M.M., El-Hakiem, A.M.A.: Framing the MHD micropolarnanofluid flow in natural convection heat transfer over a radiative truncated cone. Processes 8 (2020). https://doi.org/10.3390/pr8040379
Ibrahim, W., Gadisa, G.: Non-linear convective boundary layer flow of micropolar-couple stress nanofluids past permeable stretching sheet using Cattaneo-Christov heat and mass flux model. Heat Transf. 49, 2521–2550 (2020). https://doi.org/10.1002/htj.21733
Turkyilmazoglu, M., Pop, I.: Heat and mass transfer of unsteady natural convection flow of some nanofluids past a vertical infinite flat plate with radiation effect. Int. J. Heat Mass Transf. 59, 167–171 (2013). https://doi.org/10.1016/j.ijheatmasstransfer.2012.12.009
Turkyilmazoglu, M.: Unsteady convection flow of some nanofluids past a moving vertical flat plate with heat transfer. J. Heat Transf. 136 (2013). https://doi.org/10.1115/1.4025730
Sheikholeslami, M., Bandpy, M.G., Ellahi, R., Zeeshan, A.: Simulation of MHD CuO–water nanofluid flow and convective heat transfer considering Lorentz forces. J. Magn. Magn. Mater. 369, 69–80 (2014). https://doi.org/10.1016/j.jmmm.2014.06.017
Ahmed, M.B., Hanan, E., Osama, O., Kholmirzo, T.K., Tarek, H., Medhat, A.I.: Effect of nano metal oxides on heme molecule: molecular and biomolecular approaches. Biointerf. Res. Appl. Chem. 10, 4837–4845 (2019). https://doi.org/10.33263/briac101.837845
Khan, M.N., Nadeem, S., Muhammad, N.: Micropolar fluid flow with temperature-dependent transport properties. Heat Transf. 49, 2375–2389 (2020). https://doi.org/10.1002/htj.21726
Pedram, E., Ehsan, K.: Experimental investigation of rheological properties and formation damage of waterbased drilling fluids in the presence of Al2O3, Fe3O4, and TiO2 nanoparticles. Biointerf. Res. Appl. Chem. 10, 5886–5894 (2020). https://doi.org/10.33263/briac104.886894
Sabri, N., Moulai-Mostefa, N.: Formulation and characterization of oil-in-water emulsions stabilized by Saponins extracted from Hedera Helix Algeriensis using response surface method. Biointerf. Res. Appl. Chem. 10, 6282–6292 (2020). https://doi.org/10.33263/briac105.62826292
Ali, F., Gohar, M., Khan, I.: MHD flow of water-based Brinkman type nanofluid over a vertical plate embedded in a porous medium with variable surface velocity, temperature and concentration. J. Mol. Liq. 223, 412–419 (2016). https://doi.org/10.1016/j.molliq.2016.08.068
Kataria, H.R., Mittal, A.S.: Velocity, mass and temperature analysis of gravity-driven convection nanofluid flow past an oscillating vertical plate in the presence of magnetic field in a porous medium. Appl. Therm. Eng. 110, 864–874 (2017). https://doi.org/10.1016/j.applthermaleng.2016.08.129
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2024 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this paper
Cite this paper
Ramesh Babu, K., Buggaramulu, J. (2024). An Unsteady Flow of Fluid Velocity, Temperature, and Heat Emission on MHD Free Convection Flow of Some Nanofluids. In: Kamalov, F., Sivaraj, R., Leung, HH. (eds) Advances in Mathematical Modeling and Scientific Computing. ICRDM 2022. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-031-41420-6_36
Download citation
DOI: https://doi.org/10.1007/978-3-031-41420-6_36
Published:
Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-031-41419-0
Online ISBN: 978-3-031-41420-6
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)