Volume 53 | Number 2 | Year 2018 | Article Id. IJMTT-V53P514 | DOI : https://doi.org/10.14445/22315373/IJMTT-V53P514
The present study investigates on the three dimensional MHD
flow of a nanofluid across a slendering sheet saturated with porous layers of a
suspension of graphene nanoparticles. The primitive objective of this proposed
analysis is characterizing the non-uniform energy gain or drop. In the present
simulation the graphene-water based nanoparticles have been used at two
different temperatures namely 100C and 500C.
Runge-Kutta-Feldberg integration method is used to solve the non-dimensional
governing equations of this study. The characteristics of velocity, temperature
boundary layers in the presence of graphene-water nanoparticles are presented
for various values of heat source/sink, volume fraction, porosity, and wall
thickness. Moreover, the Nusselt number in terms of heat transfer are also
estimated and discussed for aforesaid physical parameters. Results indicate
that higher heat transfer rates are observed in case of graphene-water
nanoparticle at 500 C compared with 100 C.
[1] S. W. Lee, S. S. Lee, and E. H. Yang, Nanoscale, Research Letters, 4, 1218, 2009.
[2] A. Malesevic, R. Kemps, A. Vanhulsel, P. M. Chowdhury, V. Alexander, and V. H.Chris, “Field emission from vertically aligned few-layer graphene”, Journal of Applied Physics, 104, 084301, 2008.
[3] S.Ghosh, D L.Nika, E P.Pokatilovand, and A A. Balandin, “Heat conduction in graphene: experimental study and theoretical interpretation”,New Journal of Physics, 1,1095012,2009.
[4] L. F. Mao, Carbon, 49, 2709, 2011.
[5] TessyTheres Baby and Sundara Ram prabhu, “Experimental study on the field emission properties of metal oxide nanoparticle-decorated graphene”, Journal of Applied Physics,111, 034311, 2012, doi: 10.1063/1.3681376.
[6] A. K. M, MahmudulHaque, Sunghyun Kwon, Junhyo Kim, Jungpil Noh, Sunchul Huh, Hanshik Chung, and HyominJeong, “An experimental study on thermal characteristics of nanofluid with graphene and multi-wall carbon nanotubes”, Journal of Central South University of Technology,22: 3202−3210, 2015,DOI: 10.1007/s11771-015-2857-3.
[7] R. Cortell, “MHD (magneto-hydrodynamic) flow and radiative nonlinear heat transfer of a viscoelastic fluid over a stretching sheet with heat generation/absorption”, Energy, 74,896-905, 2014,doi.org/10.1016/j.energy.2014.07.069.
[8] C.S.K. Raju, N. Sandeep, V. Sugunamma, M. JayachandraBabu, and J.V. Ramana Reddy, “Heat and mass transfer in magnetohydrodynamic Casson fluid over an exponentially permeable stretching surface”, Engineering Science and Technology,an International Journal, 19,45-52, 2016, dx.doi.org/10.1016/j.jestch.2015.05.010. 69-75.
[9] T. Hayat, M. Imtiaz, A. Alsaedi, and M.A. Kutbi, “MHD three dimensional flow of nanofluid with velocity slip and nonlinear thermal radiation”, Journal of Magnetism and Magnetic Materials, 396,31-37, 2015,doi.org/10.1016/j.jmmm.2015.07.091.
[10] I.L. Animasaun, C.S.K. Raju, and N. Sandeep, “Unequal diffusivities case of homogeneous–heterogeneous reactions within viscoelastic fluid flow in the presence of induced magnetic-field and nonlinear thermal radiation”, Alexandria Engineering Journal, 55, 1595-1606, 2016.
[11] E. Nelson, “Dynamical theories of Brownian motion”, Mathematical Notes, 131,2381-2396, 1967,http://dx.doi.org/10.1103/PhysRev. 131.2381.
[12] M. Jayachandra Babu, and N. Sandeep , “3D MHD slip flow of a nanofluid over a slendering stretching sheet with thermophoresis and Brownian motion effects”, Journal of Molecular Liquids, 222, 1003-1009,2016.
[13] S.U.S. Choi, “Enhancing thermal conductivity of fluids with nanoparticles”, International Mechanical Engineering Congress and Exposition, San Francisco, 66, ASME, 99-105,1995.
[14] M. Sheikholeslami, and D.D. Ganji, “Nanofluid flow and heat transfer between parallel plates considering Brownian motion using DTM”, Computer Methods Applied Mechanics and Engineering 283,651-663,2015, doi.org/10.1016/j.cma.2014.09.038.
[15] A. Malvandi, S. Heysiattalab, and D.D. Ganji, “Thermophoresis and Brownian motion effects on heat transfer enhancement at film boiling of nanofluids over a vertical cylinder”, Journal of Molecular Liquids, 216, 503-509, 2016, doi.org/10.1016/j.molliq.2016.01.030.
[16] B. Fani, M. Kalteh, and A. Abbassi, “Investigating the effect of Brownian motion and viscous dissipation on the nanofluid heat transfer in a trapezoidal micro channel heat sink”, Advanced Powder Technology, 26,83-90, 2015, doi.org/10.1016/j.apt.2014.08.009.
[17] S.A. Angayarkanni, and John Philip, “Review on thermal properties of nanofluids: Recent developments”, Advances in colloid and Interface science, 225, 146-176, 2015.
[18] WA Khan, A Aziz,“Natural convection flow of a nanofluid over a vertical plate with uniform surface heat flux”, International Journal of Thermal Sciences, 50, 1207-14, 2011.
[19] S. Das, R.N. Jana, and O.D. Makinde, “Mixed convective magnetohydrodynamic flow in a vertical channelfilled with nanofluids”, Engineering Science and Technology, an International Journal, 18, 2015, 244e255.
[20] OD. Makinde and Adetayo S. Eegunjobi, “Entropy analysis of thermally radiating magnetohydrodynamic slip flow of Cassonfluid in a microchannel filled with saturated porous media” ,Journal of Porous Media, 19, 799-810, 2016.
[21] J. Kim, Y.T. Kang, and C.K. Choi, “Analysis of convective instability and heat transfer characteristics of nanofluids”, Physics of Fluids, 16, 2395-2401, 2004.
[22] M. Khader, and A.M. Megahed, “Numerical solution for boundary layer flow due to a nonlinearly stretching sheet with variable thickness and slip velocity”, European Physical Journal Plus, 128, 100-108,2003.
[23] S.P. Anjali Devi, and M. Prakash, “Slip flow effects over hydromagnetic forced convective flow over a slendering stretching sheet”, Journal of Applied Fluid Mechics, 9, 683-692,2016.
[24] C. S. K.Rajuand N. Sandeep, “Unsteady Casson nanofluid flow over a rotating cone in a rotating frame filled with ferrous nanoparticles: A numerical study”, Journal of Magnetism and Magnetic Materials, 421, 216-224,2017.
[25] S. Das, R. N.Jana, R.P. Sharma, O.D. Makinde, “MHD Nanofluid Flow and Heat Transfer in Ekman Layer on an Oscillating Porous Plate”, Journal of Nanofluids, 5, 968-981,2016.
[26] C. S. K. Raju, K. R. Sekhar, S. M. Ibrahim, G. Lorentzini, G. Viswanatha Reddy, and E. Lorentzini, “Variable viscosity on unsteady dissipative Carreau fluid over a truncated cone filled with titanium alloy nanoparticles”, Continuum Mechanics and Thermodynamics, DOI 10.1007/s00161-016-0552-8.
[27] A. G. Madaki, R. Roslan, M. S. Rusiman, and C.S. K. Raju, “Analytical and numerical solutions of squeezing unsteady Cu and TiO2-nanofluid flow in the presence of thermal radiation and heat generation/absorption”, Alexandria Engineering Journal, doi.org/10.1016/j.aej.2017.02.011.
P. Durga Prasad, S. Vijayakumar Varma, R. Sivaraj, C.S.K. Raju, "3D flow of suspension of Graphene nanoparticles with different temperature of water over a Slendering stretching sheet," International Journal of Mathematics Trends and Technology (IJMTT), vol. 53, no. 2, pp. 112-125, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V53P514