Effects of Nanoparticles on Non-Darcy Mixed Convective Heat Transfer in Nanofluids Over a Shrinking and Stretching Wedge
Applied and Computational Mathematics
Volume 8, Issue 4, August 2019, Pages: 70-74
Received: Jun. 12, 2019; Accepted: Jul. 3, 2019; Published: Sep. 5, 2019
Views 100      Downloads 36
Authors
Hassan Saadi Abdelaal El-dawy, High Institute of Engineering and Technology Tod, Luxor, Egypt
Rama Subba Reddy Gorla, Department of Mechanical Engineering, Cleveland State University, Cleveland, USA
Article Tools
Follow on us
Abstract
In this work we studied the effect of nanoparticles on the velocity and heat transfer during the flow of nanofluid in Non-Darcy mixed convection, over a wedge, taking into account of shrinking and stretching of the surface. The governing partial differential equations are converted into ordinary differential equations by means of coordinate transformation. The transformed equations are solved by means of fourth order Runge Kutta method in conjunction with shooting method. The results for the velocity and temperature fields are presented graphically as well as in tabular form. This research is expected to be useful for studying the movement of oil, gas, and water through the oil reservoir or the gas field, in the migration of groundwater and in the purification and purification of water. The friction factor decreases as the nanoparticle concentration increases whereas the heat transfer rate (Nusselt number) increases with nanoparticle concentration. The friction factor and heat transfer rate increase as the suction parameter increases. The friction factor decreases as the wedge angle increases whereas the heat transfer rate (Nusselt number) increases with wedge angle.
Keywords
Nanoparticle, Suction, Wedge, Shrinking and Stretching
To cite this article
Hassan Saadi Abdelaal El-dawy, Rama Subba Reddy Gorla, Effects of Nanoparticles on Non-Darcy Mixed Convective Heat Transfer in Nanofluids Over a Shrinking and Stretching Wedge, Applied and Computational Mathematics. Vol. 8, No. 4, 2019, pp. 70-74. doi: 10.11648/j.acm.20190804.11
Copyright
Copyright © 2019 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
References
[1]
S. U. S. Choi, Enhancing thermal conductivity of fluids with nanoparticles in developments and Applications of Non-Newtonian Flows. D. A Springer and H. P. wang, Eds., ASME. 66 (1995), 99-105.
[2]
J. Buongiorno, Convective Transport in Nanofluid, Journal of Heat Transfer, 128 (2006), 240-250.
[3]
Nor Azizah Yacob, Anuar Ishak, Roslinda Nazar, Ioan Pop, Falkner-Skan problem for a static and moving wedge with prescribed surface heat flux in a nanofluid, International Communications in Heat and Mass Transfer. 38 (2011), 149-153.
[4]
M. Mustafa, T. Hayat, I. Pop, S. Asghar, S. Obaidat, Stagnation-point flow of a nanofluid towards a stretching sheet, International Journal of Heat and Mass Transfer, 54 (2011), 5588-5594.
[5]
W. A. Khan, I. Pop, Boundary-layer flow of a nanofluid over a stretching sheet, International Journal of Heat and Mass Transfer, 53 (2010), 2477-2483.
[6]
W. A. Khan, A. Aziz, Natural convection flow of a nanofluid over a vertical plate with a uniform surface heat flux, International Journal of Thermal Sciences, 7 (2011), 1207-1214.
[7]
A. V. Kuznetsov, D. A. Nield, Natural convective boundary-layer flow of a nanofluid past a vertical plate, International Journal of Thermal Sciences, 49 (2010), 243-247.
[8]
M. Goodarzi, M. R. Safaei, K. Vafai, G. Ahmadi, M. Dahari, S. N. Kazi, N. Jomhari, Investigation of nanofluid mixed convection in a shallow cavity using a two phase mixture model, International Journal of Thermal Sciences, 75 (2014), 204-220.
[9]
S. Gumgum, M. Tezer-Sezgin, DRBEM solution of mixed convection flow of a nanofluids in enclosures with moving walls, Journal of Computational and Applied Mathematics, 259 (2014), 730-740.
[10]
Arash Karimipour, Mohammad Hemmat Esfe, Mohammad Reza Safaei, Davood Toghraie Semiromi, Saeed Jafari, S. N. Kazi, Mixed convection of Copper-Water nanofluid in a Shallow inclined lid driven cavity using the Lattice Boltzmann Method, Physica A, 402 (2014), 150–168.
[11]
M. Kumari, G. Nath, Unsteady incompressible boundary layer flow over a rotating sphere, Journal of Applied Mechanics, 49 (1982), 234-236.
[12]
Ali J. Chamkha, sameh E. Ahmmed, Unsteady MHD Heat and Mass Transfer by Mixed Convection Flow in the Forward Stagnation Region of a Rotating Sphere at Different Wall Conditions, Chemical Engineering Communication, 199 (2012), 122-141.
[13]
A. Akbarinia, A. Behzadmehr, Numerical study of laminar mixed convection of a nanofluid in a horizontal curved tubes, Applied Thermal Engineering, 27 (2007), 1327–1337.
[14]
H. A. El-dawy. et. al Stagnation Point Thermal Boundary Layer Flow Towards a Stretching/Shrinking Sheet in a Nanofluid Journal of Nanofluids Vol. 2, pp. 1–5, 2013.
[15]
H. A. El-dawy, r. gorla Unsteady Flow of a Nanofluid Over a Shrinking/Stretching Porous Wedge Sheet in the Presence of Solar Radiation Journal of Nanofluids Vol. 7, pp. 1–9, 2018Journal of Nanofluids.
[16]
R. Kandasamy reaction effects on non-Darcy mixed convective heat and mass transfer past a porous wedge with variable viscosity in the presence of suction or injection Nuclear Engineering and Design 238 (2008) 2699–2705.
[17]
Jize Sui Influence of particulate thermophoresis on convection heat and mass transfer in a slip flow of a viscoelasticity-based micropolar fluid International Journal of Heat and Mass Transfer 119 (2018) 40–51.
[18]
Roslinda Nazar, et. al MHD boundary-layer flow of a micropolar fluid past a wedge with constant wall heat Communications in Nonlinear Science and Numerical Simulation 14 (2009) 109–118.
[19]
H. A El-Dawy, et, al. Mixed Convection in a Nanofluid Past a Vertical Plate in a Saturated Porous Medium Journal of Nanofluids Vol. 3, pp. 1–4, 2014.
[20]
Yih KA. MHD forced convection flow adjacent to a non-isothermal wedge. Int Common Heat Mass Transfer 1999; 26: 819–27.
[21]
E. Abu-Nada, H. F. Oztop, Effect of inclination angle on natural convection in enclosures filled with Cu-water nanofluid, Int. J. Heat Fluid Flow 30 (2009) 669–678.
ADDRESS
Science Publishing Group
1 Rockefeller Plaza,
10th and 11th Floors,
New York, NY 10020
U.S.A.
Tel: (001)347-983-5186