Mixed convection of a MHD oscillatory laminar flow of a nanofluid (Gold-Kerosene oil) in a vertical channel
Abstract
Analytical study of mixed convection of an oscillating laminar flow of nanofluid (Gold-Kerosene Oil) throughthe vertical channel in the presence of a magnetic field has been investigated in this article. Assuming that the nanofluid electrically driven due to the magnetic field applied to the transverse direction of the flow and the sides of the channel are subject to thermal radiative flux and high temperature, a system of equations expressing momentum, energy, and concentration has been considered under these assumptions. Using the non-dimension variables technique, the system is transformed into differential equations, which are solved analytically by the perturbation method. The velocity and temperature profiles are plotted. Furthermore. The obtained results indicate that the nanofluids have a clear influence on the velocity and temperature behavior. Moreover, the presence of thermal radiation improves the heat transfer rate.References
H. Schlichting, Boundary-Layer Theory, McGarw-Hill Book Company pp. 135-149, 1979.
JI. Pop, D. B. Ingham, Convective heat transfer: mathematical and computational modeling of viscous fluids and porous media, Elsevier, (2001).
T.-S. Chang and T.-F. Lin, Steady and oscillatory opposing mixed convection in a symmetrically heated vertical channel with a low-Prandtl number fluid, Int. J. Heat Mass Transfer 36, 3783–3795 (1993).
T.-F. Lin, T.-S. Chang, and Y.-F. Chen, Development of oscillatory asymmetric recirculating flow in transient laminar opposing mixed convection in a symmetrically heated vertical channel, ASME J. Heat Transfer 115, 342–352, (1993).
G. Evans and R. Greif, Buoyant instabilities in downward flow in a symmetrically heated vertical channel, Int. J. Heat Mass Transfer 40, 2419–2430, (1997).
S.U.S Choi, Enhancing thermal conductivity of fluids with nanoparticles, developments, and applications of non-Newtonian flows, FED-Vol.231/MD, 66, 1995, pp. 99-105.
A. Wakif, Z. Boulahia, R. Sehaqui, Numerical analysis of the onset of longitudinal convective rolls in a porous medium saturated by an electrically conducting nanofluid in the presence of an external magnetic field, Results in physics, vol. 7, p. 2134-2152, 2017.
M. Zaydan, N. Yadil, Z. Boulahia, A. Wakif, R. Sehaqui, Fourth-Order Compact Formulation for the Resolution of Heat Transfer in Natural Convection of Water-Cu Nanofluid in a Square Cavity with a Sinusoidal Boundary Thermal Condition, World Journal of Nano Science and Engineering, vol. 6, no 02, p. 70, 2016.
R. Muthuraj, S. Srinivas, A.K. Shukla, T.R. Ramamohan, Effects of thermal-diffusion, diffusion-thermo, and space porosity on MHD mixed convective flow of micropolar fluid in a vertical channel with viscous dissipation, Heat Tran. Asian Res. 43, (2014).
RD. Lourdu, R. Muthuraj, R.K. Selvi, S. Srinivas, A.K. Shukla, The influence of thermophoretic particle deposition on fully developed MHD mixed convective flow in a vertical channel with thermal-diffusion and diffusion-thermo effects, Ain Shams Engineering Journal 6, 671–681, (2015).
G. Aaiza, K. Ilyas, S. Sharedan, Energy transfer in mixed convection MHD flow of nanofluid containing different shapes of nanoparticles in a channel filled with saturated porous medium, Nanoscale research letters, vol. 10, no 1, pp. 490, 2015.
E. Abu-Nada, A.J. Chamkha, Mixed convection flow of a nanofluid in a lid-driven cavity with a wavy wall, Int. Commun. Heat Mass Transfer, vol. 57, pp.36–47, 2014.
A. Raisi, M. Aminossadati, B. Ghasemi, Magnetohydrodynamic mixed convection of a cu-water nanofluid in a vertical channel, Journal of Heat Transfer, vol. 135, no 7, pp. 074501, 2013.
Z.H. Khan, W.A. Khan, Q. Qasim, Shah I.A, MHD stagnation point ferrofluid flow and heat transfer toward a stretching sheet, Nanotechnology, IEEE Transactions, 13, pp. 35–40, 2014.
G. Fahad Al-Amri, Analytical solution for fully developed flows of nanofluids in the mixed-convection zone within vertical channels, Arabian J. Sci. Eng, 739–752, (2019).
B. PAK AND Y. CHO, Hydrodynamic and heat transfer study of dispersed fluids with submicron metallic oxide particles, Experimental Heat Transfer 11 (2), pp. 151-170, (1998).
Y. XUAN, W. ROETZEL, Conceptions for heat transfer correlation of nanofluids, Int. J. Heat Mass Transfer, Vol. 43, pp. 3701-3707, (2000).
R.L. Hamilton, O.K. Crosser, Thermal conductivity of heterogeneous two-component systems. Industrial and Engineering chemistry fundamentals, 1962, vol. 1, no 3, pp. 187-191.
G. Aaiza, K. Ilyas, S. Sharedan, Energy transfer in mixed convection MHD flow of nanofluid containing different shapes of nanoparticles in a channel filled with saturated porous medium. Nanoscale research letters, vol. 10, no 1, pp. 490, 2015.
S. Aman, I. Khan, 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, Annals of Statistics, vol. 37, pp. 2145–2177,2008.
O.D. Makinde, P.Y. Mhone, Heat transfer to MHD oscillatory flow in a channel filled with porous medium, Romanian Journal of physics, vol. 50, no 9/10, pp. 93, 2005.
Selvakumar, S. Suresh, Convective performance of CuO/water nanofluid in an electronic heat sink, Experimental Thermal and Fluid Science; 40: 57-63, 2012.
Z. Wan, J. Deng, B. Li, Y. Xu, X. Wang, Y. Tang, Thermal performance of a miniature loop heat pipe using water-copper nanofluid, Applied Thermal Engineering; 78: 712-9, 2015.
W. Duangthongsuk, S. Wongwises, An experimental study on the thermal and hydraulic performances of nanofluids flow in a miniature circular pin fin heat sink, Experimental Thermal and Fluid Science; 66: 28-35, 2015.
S. Noreen, Mixed convection peristaltic flow of third order nanofluid with an induced magnetic field, PLoS One 8 (11):e78770, (2013).
Mohamed.Abou-zeid, Effects of thermal-diffusion and viscous dissipation on peristaltic flow of micropolar non-Newtonian nanofluid: application of homotropy perturbation method, Results Phys 6:481–495, (2016).
MG. Reddy, OD. Makinde, Magnetohydrodynamic peristaltic transport of Jeffrey nanofluid in an asymmetric channel, J Mol Liq 223:1242–1248, (2016).
Ajdari, Niloofar, et al, Gold nanoparticle interactions in human blood: a model evaluation. Nanomedicine: Nanotechnology, Biology and Medicine 13.4, 1531-1542, (2017).
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).
