The influence of the melting heat on the hydromagnetic convective Cu–H2O nanofluid flow over a stretching plate was investigated. The effects of viscous dissipation and Joule heating, involved in the energy equation, were considered. The primary equations were reduced to the ordinary differential equations with the use of suitable similarity transforms. The reduced equations were solved using the shooting technique by the fourth-order Runge– Kutta scheme. A detailed investigation is exemplified by diagrams and tables for various values of opposite factors. The results of calculations were compared with the corresponding literature data obtained for specific situations.
Similar content being viewed by others
References
J. Buongiorno, Convective transport in nanofluids, ASME J. Heat Transf., 128, 240–250 (2006).
S. Kakac and A. Pramuanjaroenkij, Review of convective heat transfer enhancement with nanofluids, Int. J. Heat Mass Transf., 52, 3187–3196 (2009).
W. A. Khan and I. Pop, Boundary-layer flow of a nanofluid past a stretching sheet, Int. J. Heat Mass Transf., 53, 2477–2483 (2010).
R. A. Van Gorder, Nano boundary layers over stretching surfaces, Commun. Nonlin. Sci. Numer. Simulat., 15, 1494–1500 (2010).
M. Hassan et al., An analytical solution for boundary layer flow of a nanofluid past a stretching sheet, Int J. Therm. Sci., 50, 2256–2263 (2011).
M. A. A. Hamad, Analytical solution of natural convection flow of a nanofluid over a linear stretching sheet in the presence of magnetic field, Int. Commun. Heat Mass Transf., 38, 487–492 (2011).
F. M. Hady et al., Radiation effect on viscous flow of a nanofluid and heat transfer over a nonlinearly stretching sheet, Nanoscale Res. Lett., 7, 229–231 (2012).
P. K. Kameswaran, M. Narayana, P. Sibanda, and P. V. S. N. Murthy, Hydromagnetic nanofluid flow due to a stretching or shrinking sheet with viscous dissipation and chemical reaction, Int. J. Heat Mass Transf., 55, 7587–7595 (2012).
A. V. Kuznetsov and D. A. Nield, The Cheng–Minkowycz problem for natural convective boundary-layer flow in a porous medium saturated by a nanofluid: A revised model, Int. J. Heat Mass Transf., 65, 682–685 (2013).
D. A. Nield and A. V. Kuznetsov, The onset of convection in a horizontal nanofluid layer of finite depth: A revised model, Int. J. Heat Mass Transf., 77, 915–918 (2014).
N. A. Halim, S. Sivasankaran, and N. F. M. Noor, Active and passive controls of the Williamson stagnation nanofluid flow over a stretching/shrinking surface, Neural Comput. Appl., 28, 1023–1033 (2017); https://doi.org/10.1007/s00521-016-2380-y.
S. S. Giri, K. Das, and P. K. Kundu, Stefan blowing effects on MHD bioconvection flow of a nanofluid in the presence of gyrotactic microorganisms with active and passive nanoparticles flux, Eur. Phys. J. Plus., 132, Article ID 101 (2017).
T. Hayat, Z. Hussain, A. Alsaedi, and S. Asghar, Carbon nanotubes effects in the stagnation point flow towards a nonlinear stretching sheet with variable thickness, Adv. Powder Technol., 27, No. 4, 1677–1688 (2016); https://doi.org/10.1016/j.apt.2016.06.001.
T. Hayat, T. Muhammad, S. A. Shehzad, and A. Alsaedi, An analytical solution for magnetohydrodynamic Oldroyd-B nanofluid flow induced by a stretching sheet with heat generation/absorption, Int. J. Therm. Sci., 111, 274–288 (2017).
K. Das, A. Sarkar, and P. K. Kundu, Nanofluid flow over a stretching surface in presence of chemical reaction and thermal radiation, J. Siber. Federal Univ., Math. Phys., 10, 146–157 (2017).
R. Ellahi, S. A. Alamri, A. Basit, and A. Majeed, Effects of MHD and slip on heat transfer boundary layer flow over a moving plate based on specific entropy generation, J. Taibah Univ. Sci., 12, 476–482 (2018).
M. Hussan, M. Marin, A. Alsharif, and R. Ellahi, Convection heat transfer flow of nanofluid in a porous medium over wavy surface, Phys. Lett., 382, 2749–2753 (2018).
Y. C. Yen and C. Tien, Laminar heat transfer over a melting plate, the modified Leveque problem, J. Geophys. Res., 68, 3673–3678 (1963).
C. Tien and Y. C. Yen, The effect of melting on forced convection heat transfer, J. Appl. Meteorol., 4, 523–527 (1965).
S. K. Adegbie, O. K. Koriko, and I. L. Animasaun, Melting heat transfer effects on stagnation point flow of micropolar fluid with variable dynamic viscosity and thermal conductivity at constant vortex viscosity, J. Nigerian Math. Soc., 35, No. 1, 34–47 (2016); https://doi.org/10.1016/j.jnnms.2015.06.004.
K. Das and A. Sarkar, Eff ect of melting on an MHD micropolar fluid flow toward a shrinking sheet with thermal radiation, J. Appl. Mech. Tech. Phys., 57, 681–689 (2016).
T. Hayat, A. Kiran, M. Imtiaz, and A. Alsaedi, Melting heat and thermal radiation effects in stretched flow of an Oldroyd-B fluid, App. Math. Mech., 38, 957–968 (2017).
F. Mabood and K. Das, Outlining the impact of melting on MHD Casson fluid flow past a stretching sheet in a porous medium with radiation, Heliyon, 5, Article ID 1216 (2019).
Author information
Authors and Affiliations
Corresponding author
Additional information
Published in Inzhenerno-Fizicheskii Zhurnal, Vol. 95, No. 5, pp. 1225–1231, September–October, 2022.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Das, K. Towards the Understanding of the Melting Heat Transfer in a Cu–Water Nanofluid Flow. J Eng Phys Thermophy 95, 1207–1213 (2022). https://doi.org/10.1007/s10891-022-02587-8
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10891-022-02587-8