Abstract
This paper investigates the mixed convection of MHD Maxwell, Jeffery, and Oldroyd-B nanofluid models with heat source/sink over a cone geometry. The nonlinear ordinary differential equations are solved numerically by using Runge–Kutta-based shooting technique for transformed systems. Moreover, the non-homogenous Buongiorno’s model is employed, which accounts for both the impact of thermophoresis and Brownian motion of the nanofluids. The accuracy of the numerical data is obtained by comparison against the existed results in the literature. Furthermore, the effects of important physical parameters such as thermophoresis, Biot number, Brownian motion, and magnetic field parameters on the concentration, temperature, and velocity profiles are evaluated in this research. As the vital outcome of this research, it is revealed that the heat and mass transfer rates are more significant in Jeffery model than other two models Maxwell and Oldroyd-B nanofluid models.
Similar content being viewed by others
References
Christensen RM. Theory of Viscoelasticity. J Appl Mech. 1982;38:720.
Oldroyd JG. On the formulation of rheological equations of state. Proc R Soc Lond Ser A Math Phys Eng Sci. 1950;200:523–41.
Jeffery GB. The motion of ellipsoidal particles immersed in a viscous fluid. Proc R Soc A Math Phys Eng Sci. 1922;102:161–79.
Hayat T, Alsaedi A. On thermal radiation and joule heating effects in MHD flow of an Oldroyd-B fluid with thermophoresis. Arab J Sci Eng. 2011;36:1113–24.
Raju CSK, Sandeep N, Gnaneswara Reddy M. Effect of nonlinear thermal radiation on 3D Jeffrey fluid flow in the presence of homogeneous–heterogeneous reactions. Int J Eng Res Afr. 2016;21:52–68.
Nadeem S, Saleem S. Analytical study of rotating non-Newtonian nanofluid on a rotating cone. J Thermophys Heat Transf. 2014;28:295–302.
Khan NA, Khan S, Riaz F. Analytic approximate solutions and numerical results for stagnation point flow of Jeffrey fluid towards an off-centered rotating disk. J Mech. 2015;31:201–15.
Mehmood R, Nadeem S, Akbar N. Oblique stagnation flow of Jeffrey fluid over a stretching convective surface: optimal solution. Int J Numer Methods Heat Fluid Flow. 2015;25:454–71.
Raju CSK, Jayachandra Babu M, Sandeep N. Chemically reacting radiative MHD Jeffrey nanofluid flow over a cone in porous medium. Int J Eng Res Afr. 2015;19:75–90.
Hayat T, Abbas Z, Sajid M. Series solution for the upper-convected Maxwell fluid over a porous stretching plate. Phys Lett A. 2006;358:396–403.
Nadeem S, Haq RU, Khan ZH. Numerical study of MHD boundary layer flow of a Maxwell fluid past a stretching sheet in the presence of nanoparticles. J Taiwan Inst Chem Eng. 2014;45:121–6.
Ashraf MB, Hayat T, Shehzad SA, Alsaedi A. Mixed convection radiative flow of three dimensional Maxwell fluid over an inclined stretching sheet in presence of thermophoresis and convective condition. AIP Adv. 2015;5:027134.
Hayat T, Muhammad T, Shehzad SA, Chen GQ, Abbas IA. Interaction of magnetic field in flow of Maxwell nanofluid with convective effect. J Magn Magn Mater. 2015;389:48–55.
Abbasi FM, Shehzad SA, Hayat T, Ahmad B. Doubly stratified mixed convection flow of Maxwell nanofluid with heat generation/absorption. J Magn Magn Mater. 2016;404:159–65.
Hayat T, Qayyum S, Shehzad SA, Alsaedi A. Simultaneous effects of heat generation/absorption and thermal radiation in magnetohydrodynamics (MHD) flow of Maxwell nanofluid towards a stretched surface. Results Phys. 2017;7:562–73.
Turkyilmazoglu M, Pop I. Exact analytical solutions for the flow and heat transfer near the stagnation point on a stretching/shrinking sheet in a Jeffrey fluid. Int J Heat Mass Transf. 2013;57:82–8.
Abbasi FM, Shehzad SA, Hayat T, Alsaedi A, Obid MA. Influence of heat and mass flux conditions in hydromagnetic flow of Jeffrey nanofluid. AIP Adv. 2015;5:037111.
Zin NAM, Khan I, Shafie S. The impact silver nanoparticles on MHD free convection flow of Jeffrey fluid over an oscillating vertical plate embedded in a porous medium. J Mol Liq. 2016;222:138–50.
Hayat T, Shehzad SA, Alsaedi A. Three-dimensional flow of an Oldroyd-B fluid over a bidirectional stretching surface with prescribed surface temperature and prescribed surface heat flux. J Hydrol Hydromech. 2014;62:117–25.
Sajid M, Ahmed B, Abbas Z. Steady mixed convection stagnation point flow of MHD Oldroyd-B fluid over a stretching sheet. J Egypt Math Soc. 2015;23:440–4.
Raju CSK, Sandeep N. Heat and mass transfer in MHD non-Newtonian bio-convection flow over a rotating cone/plate with cross diffusion. J Mol Liq. 2016;215:115–26.
Shehzad SA, Abdullah Z, Abbasi FM, Hayat T, Alsaedi A. Magnetic field effect in three-dimensional flow of an Oldroyd-B nanofluid over a radiative surface. J Magn Magn Mater. 2016;399:97–108.
Khan N, Mahmood T. Thermophoresis particle deposition and internal heat generation on MHD flow of an Oldroyd-B nanofluid between radiative stretching disks. J Mol Liq. 2016;216:571–82.
Raju CSK, Sandeep N. Unsteady Casson nanofluid flow over a rotating cone in a rotating frame filled with ferrous nanoparticles: a numerical study. J Magn Magn Mater. 2017;421:216–24.
Raju CSK, Sandeep N, Malvandi A. Free convective heat and mass transfer of MHD non-Newtonian nanofluids over a cone in the presence of non-uniform heat source/sink. J Mol Liq. 2016;221:108–15.
Anilkumar D, Roy S. Unsteady mixed convection flow on a rotating cone in a rotating fluid. Appl Math Comput. 2004;155:545–61.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Koteswara Reddy, G., Yarrakula, K., Raju, C.S.K. et al. Mixed convection analysis of variable heat source/sink on MHD Maxwell, Jeffrey, and Oldroyd-B nanofluids over a cone with convective conditions using Buongiorno’s model. J Therm Anal Calorim 132, 1995–2002 (2018). https://doi.org/10.1007/s10973-018-7115-0
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10973-018-7115-0