ORIGINAL PAPER
Nanofluid Motion Past a Shrinking Sheet in Porous Media Under the Impact of Radiation and Heat Source/Sink
,
 
,
 
,
 
 
 
More details
Hide details
1
Department of Basic & Applied Science, National Institute of Technology, Yupia, Papum Pare District, Arunachal Pradesh-791112, India
 
2
Department of Mathematics, C M SCIENCE College Darbhanga (, A constituent uniot of L N Mithila University Darbhanga), Bihar-846004, India
 
3
Department of Mathematics, JECRC University, Jaipur-303905, India
 
4
Siksha ‘O’ Anusandhan Deemed to be University Khandagiri, Bhubaneswar-, 751030, Odisha, India
 
 
Online publication date: 2019-12-04
 
 
Publication date: 2019-12-01
 
 
International Journal of Applied Mechanics and Engineering 2019;24(4):183-199
 
KEYWORDS
ABSTRACT
An investigation has been carried out for the MHD 3-dimensional flow of nanofluid over a shrinking sheet saturating a porous media in the presence of thermal radiation and heat generation. Convective boundary conditions for the flow phenomena are used in the present analysis. The governing equations are reduced to ODEs employing suitable similarity transformations. The solutions of formulated differential equations have been attained mathematically by fourth order R-K technique along with the shooting method. The impact of the governing constraints on momentum, heat, and local Nusselt number, are explored. It is noticed that the momentum and heat decrease with raise in the porosity variable, temperature reduces with an enhance in the thermal radiation variable, and temperature enhances with an enhance in the heat source/sink parameter.
REFERENCES (41)
1.
Choi S.U.S. (1995): Enhancing thermal conductivity of fluids with nanoparticles – In Proc. ASME Int. Mechanical Engineering Congress and Exposition ASME, FED 231/MD, vol.66, pp.99-105.
 
2.
Eastman J.A., Choi S.U.S., Li S., Yu W. and Thompson L.J. (2001): Anomalously increased effective thermal conductivities of ethylene glycol-based nanofluids containing copper nanoparticles. – Appl. Phys. Lett., vol.78, pp.718-720.
 
3.
Choi S.U.S., Zhang Z.G., Yu W., Lockwood F.E. and Grulke E.A. (2001): Anomalously thermal conductivity enhancement in nanotube suspensions. – Appl. Phys. Lett., vol.79, pp.2252-2254.
 
4.
Das S.K., Choi S.U.S. and Patel H.E. (2006): Heat transfer in nanofluids-a review. – Heat Transfer Engineering, vol.27, No.10, pp.3-19.
 
5.
Wang X.Q. and Majumdar A.S. (2007): Heat transfer characteristics of nanofluids -a review. – Int. J. Thermal Sci., vol.46, pp.1-19.
 
6.
Wang X.Q. and Mujumdar A.S. (2008): A review on nanofluids – Part I: Theoretical and numerical investigations. – Brazilian J. Chem. Eng., vol.25, pp.613-630.
 
7.
Kakac S. and Pramuanjaroenkij A. (2009): Review of convective heat transfer enhancement with nanofluids. – Int. J. Heat Mass Transfer, vol.52, pp.3187-3196.
 
8.
Ho C.J., Chen M.W. and Li Z.W. (2011): Numerical simulation of natural convection of nanofluid in square enclosure: effects due to uncertaintics of viscosity and thermal conductivity. – Energy Convers Manage, vol.52, pp.789-793.
 
9.
Elif B.O. (2007): Natural convection of water based nanofluid in aninclined enclosure with a heat source. – Int. J. Thermal Sci., vol.46, pp.1-19.
 
10.
Salem A.M., Ismail G. and Fathy R. (2014): Hydromagnetic flow of Cu water nanofluidover a moving wedge with viscous dissipation. – Chin. Phys. B., vol.23, 044402.
 
11.
Sheikholeslami M., Ellahi R., Ashorynejad H.R., Donairry G. and Hayat T. (2014): Effects of heat transfer in flow of nanofluids over a permeable stretching wall in a porous medium. – J. Comput. Theor. Nanosci., vol.11, pp.486-496.
 
12.
Sheikholeslami M., Bandpy M.G., Ganji D.D. and Soleimani S. (2014): Natural convection heat transfer in a cavity with sinusoidal wall filled with CuO–water nanofluid in presence of magnetic field. – J. Taiwan Inst. Chem. Eng., vol.45, pp.40-49.
 
13.
Xu H., Pop I. and You X.C. (2013): Flow and heat transfer in a nano-liquid film over an unsteady stretching surface. – Int. J. Heat Mass Transfer, vol.60, pp.646-652.
 
14.
Sheikholeslami M., Hatami M. and Ganji D.D. (2014): Nanofluid flow and heat transfer in a rotating system in the presence of a magnetic field. – J. Mol. Liq., vol.190, pp.112-120.
 
15.
Ramzan M. and Yousaf F. (2015): Boundary layer flow of three-dimensional viscoelastic nanofluid past a bidirectional stretching sheet with Newtonian heating. – AIP Adv., vol.5, pp.132.
 
16.
Turkyilmazoglu M. (2011): Multiple solutions of heat and mass transfer of MHD slip flow for the viscoelastic fluid over a stretching sheet. – Int. J. of Thermal Sciences, vol.50, pp.2264-2276.
 
17.
Hamad M.A.A. (2011): Analytical solution of natural convection flow of a nanofluid over a linearly stretching sheet in the presence of magnetic field. – Int. Commun. Heat Mass Transfer, vol.38, pp.487-492.
 
18.
Sheikholeslami M., Bandpy M.G., Ellahi R. and Zeeshan A. (2014): Simulation of MHD CuO–water nanofluid flow and convective heat transfer considering Lorentz forces. – J. Magn. Magn. Mater., vol.369, pp.69-80.
 
19.
Ibrahim W. and Makinde O.D. (2015): Double-diffusive in mixed convection and MHD stagnation point flow of nanofluid over a stretching sheet. – Journal of Nanofluids, vol.4, pp.28-37.
 
20.
Hady F.M., Ibrahim I.S., Abdel-Gaied S.M. and Eid M.R. (2012): Radiation effect on viscous flow of a nanofluid and heat transfer over a nonlinearly stretching sheet. – Nanoscale Research Letters, vol.7, pp.229-232.
 
21.
Nadeem S. and Hag R.U. (2013): Effect of Thermal Radiation for Megnetohydrodynamic Boundary Layer Flow of a Nanofluid Past a Stretching Sheet with Convective Boundary Conditions. – Journal of Computational and Theoretical Nanoscience, vol.11, 32-40, (2013).
 
22.
Nadeem S. and Hag R.U. (2015): MHD boundary layer flow of a nano fluid past a porous shrinking with thermal radiation. – Journal of Aerospace Engineering, 10.1061/(ASCE)AS.1943-5525.0000299, 04014061.
 
23.
Turkyilmazoglu M. and Pop I. (2013): 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., vol.59, pp.167-171.
 
24.
Hsiao K.L. (2014): Nanofluid flow with multimedia physical features for conjugate mixed convection and radiation. – Comput. Fluids, vol.104, pp.1-8.
 
25.
Ramzan M. and Bilal M. (2015): Time dependent MHD nano-second grade fluid flow induced by permeable vertical sheet with mixed convection and thermal radiation. – PLoS One, vol.10, No.5, e0124929.
 
26.
Hayat T., Muhammad T., Alsaedi A. and Alhuthali M.S. (2015): Magnetohydrodynamic three-dimensional flow of viscoelastic nanofluid in the presence of nonlinear thermal radiation. – J. Magn. Magn. Mater., vol.385, pp.222–229.
 
27.
Hag R.U., Nadeem S., Khan Z.H. and Akbar N.S. (2015): Thermal radiation and slip effects on MHD stagnation point flow of nanofluid over a stretching sheet. – Physica E: Low-Dimensional Systems and Nanostructures, vol.65, pp.17-23.
 
28.
Rahman M.M., Al-Lawatia M.A., Eltayeb I.A. and Al-Salti N. (2012): Hydromagnetic slip flow of water based nanofluids past a wedge with convective surface in the presence of heat generation (or) absorption. – International Journal of Thermal Sciences, vol.57, pp.172-182.
 
29.
Lakshmi S. and Reddy S. (2013): Effect of radiation on mixed convection flow of a non-Newtonian nanofluid over a non-linearly stretching sheet with heat source/sink. – International Journal of Modern Eng. Research, vol.3, pp.2675-2696.
 
30.
Malvandi A., Hedayati F. and Nobari M.R.H. (2014): An HAM analysis of stagnation-point flow of a nanofluid over a porous stretching sheet with heat generation. – Journal of Applied Fluid Mechanics, vol.7, No.1, pp.135-145.
 
31.
Hayat T., Muhammad T., Shehzad S.A. and Alsaedi A. (2015): Similarity solution to three dimensional boundary layer flow of second grade nanofluid past a stretching surface with thermal radiation and heat source/sink. – AIP Advances, vol.5, 017107.
 
32.
Kahar A., Kandasamy R.R. and Muhaimin I. (2011): Scaling group transformation for boundary-layer flow of a nanofluid past a porous vertical stretching surface in the presence of chemical reaction with heatradiation. – Computers & Fluids, vol.52, pp.15-21.
 
33.
Chamkha A.J. and Ahmed S.E. (2011): Similarity solution for unsteady MHD flow near a stagnation point of a three-dimensional porous body with heat and mass transfer, heat generation/absorption and chemical reaction. – Journal of Applied Fluid Mechanics, vol.4, No.2, pp.87-94.
 
34.
Kuznetsov A.V. and Nield D.A. (2013): 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 Transfer, vol.65, pp.682-685.
 
35.
Sheikholeslami M. and Ganji D.D. (2014): Heated permeable stretching surface in a porous medium using nanofluids. – Journal of Applied Fluid Mechanics, vol.7, No.3, pp.535-542.
 
36.
Nandy S.K. and Pop I. (2014): Effects of magnetic field and thermal radiation on stagnation flow and heat transfer of nanofluid over a shrinking surface. – Int. Commun. Heat Mass Transfer, vol.53, pp.50-55.
 
37.
Ramzan M. (2015): Influence of Newtonian heating on three dimensional MHD flow of couple stress nanofluid with viscous dissipation and Joule heating. – PLoS One, vol.10, No.4, e0124699.
 
38.
Hayat T., Imtiaz M. and Alsaedi A. (2015): MHD 3D flow of nanofluid in presence of convective conditions. – Journal of Molecular Liquids, vol.212, pp.203-208.
 
39.
Zheng L., Niu J., Zhang X. and Gao Y. (2012): MHD flow and heat transfer over a porous shrinking surface with velocity slip and temperature jump. – Math. Comput. Model, vol.56, pp.133-144.
 
40.
Dastagiri Babu D., Venkateswarlu S. and Keshava Reddy E. (2017): Heat and mass transfer on unsteady MHD free convection rotating flow through a porous medium over an infinite vertical plate with hall effects. – AIP Conference Proceedings 1859, 020077; https://doi.org/10.1063/1.4990....
 
41.
Bilal S., Khalil Ur Rehman, Hamayun Jamil, Malikand M.Y. and Salahuddin T. (2016): Dissipative slip flow along heat and mass transfer over a vertically rotating cone by way of chemical reaction with Dufour and Soret effects. – AIP ADVANCES, vol.6, 125125.
 
eISSN:2353-9003
ISSN:1734-4492
Journals System - logo
Scroll to top