## THERMAL SCIENCE

International Scientific Journal

### DOUBLE STRATFIED FLOW OF NANOFLUID SUBJECT TO TEMPERATURE BASED THERMAL CONDUCTIVITY AND HEAT SOURCE

**ABSTRACT**

Stratified hydromagnetic flow of nanomaterial in the zone of stagnation point is addressed. An exponential base space dependent heat source, temperature dependent thermal conductivity and viscous dissipation are accounted. In addition, first order chemical reaction is present. The obtained non-linear system is computed by employing homotopic procedure. Convergent solutions are obtained. Plots and tabulated values are arranged for interpretation of sundry variables. Clearly temperature and concentration distributions are decayed in presence of stratification. Moreover skin friction and temperature are reduced via wall thickness parameter.

**KEYWORDS**

PAPER SUBMITTED: 2018-01-21

PAPER REVISED: 2018-07-26

PAPER ACCEPTED: 2018-08-10

PUBLISHED ONLINE: 2018-09-29

**THERMAL SCIENCE** YEAR

**2020**, VOLUME

**24**, ISSUE

**2**, PAGES [1157 - 1171]

- Bansod, V., Jadhav, R., Effect of double stratification on mixed convection heat and mass transfer from a vertical surface in a fluid-saturated porous medium, Heat Transfer Asian Research, 39 (2010), pp. 378-395
- Takhar, H. S., Chamkha, A. J., Nath, G., Natural convection flow from a continously moving vertical surface immersed in a thermally stratified medium, Heat Mass transfer, 38 (2001), pp. 17-24
- Chamkha, A. J., Hydromahnetic natural convection from an isothermal inclined surface adjacent to a thermally stratified porous medium, International Journal of Engineering Science, 35 (1997), pp. 975-986
- Ibrahim, W., Makinde, O. D., The effect of double stratification on boundary-layer flow and heat transfer of nanofluid over a vertical plate, Computers and Fluids, 86 (2013), pp. 433-441
- Hussain, T., Hussain, S., Hayat, T., Impact of double stratification and magnetic field in mixed convective radiative flow of Maxwell nanofluid, Journal of Molecular Liquids, 220 (2016), pp. 870-878
- Hayat, T., Ullah, I., Muhammad, T., Alsaedi, A., Thermal and solutal stratification in mixed convection three-dimensional flow of an Oldroyd-B nanofluid, Results in Physics, 7 (2017), pp. 3797-3805
- Choi, S. U. S., Enhancing thermal conductivity of fluids with nanoparticles, USA, ASME, FED 231/MD, 66 (1995), pp. 99-105.
- Buongiorno, J., Convective transport in nanofluids, Journal of Heat Transfer, 128 (2006), pp. 240-250
- Eastman, J. A., Choi, S. U. S., Li, S., Yu, W., Thompson, L. J., Anomalously increased efffective thermal conductivity of ethylene glycol-based nanofluids containing copper nanoparticles, Applied Physics Letters, 78 (2001), pp. 718-720
- Turkyilmazoglu, M., Exact analytical solutions for heat and mass transfer of MHD slip flow in nanofluids, Chemical Engineering Science, 84 (2012), pp. 182-187
- Sheikholeslami, M., Hayat, T. Alsaedi, A., MHD free convection of 2 3 Al O -water nanofluid considering thermal radiation: A numerical study, International Journal of Heat and Mass Transfer, 96 (2016), pp. 513-524.
- Hsiao, K. L., Stagnation electrical, MHD nanofluid mixed convection with slip boundary on a stretching sheet, Applied Thermal Engineering, 98 (2016), pp. 850-861.
- Hayat, T., Ullah, I., Alsaedi, A., Ahmad, B., Modeling tangent hyperbolic nanoliquid flow with heat and mass flux conditions, The European Physical Journal Plus, 132 (2017), pp. 112.
- Zhang, C., Zheng, L., Zhang, X., Chen, G., MHD flow and radiation heat transfer of nanofluids in porous media with variable surface heat flux and chemical reaction, Applied Mathematical Modelling, 39 (2015), pp. 165-181
- Hayat, T., Ullah, I., Muhammad, T., Alsaedi, A., Shehzad, S. A., Three-dimensional flow of Powell-Eyring nanofluid with heat and mass flux boundary conditions, Chines Physics B, 25 (2016), pp. 074701
- Malvandi, A., Ganji , D. D., Pop, I., Laminar filmwise condensation of nanofluids over a vertical plate considering nanoparticles migration, Applied Thermal Engineeing, 100 (2016), pp. 979-986
- Hayat, T., Ullah, I., Alsaedi, A., Waqas, M., Ahmad, B., Three-dimensional mixed convection flow of Sisko nanoliquid, International Journal of Mechanical Sciences, 133 (2017), pp. 273-282
- Hsiao, K. L., To promote radiation electrical MHD activation energy thermal extrusion manufacturing system efficiency by using Carreau-Nanofluid with parameters control method, Energy, 130 (2017), pp. 486e499
- Hayat, T., Ullah, I., Alsaedi, A., Farooq, M., MHD flow of Powell-Eyring nanofluid over a non-linear stretching sheet with variable thickness, Results in Physics, 7 (2017), pp. 189-196
- Hsiao, K. L., Micropolar nanofluid flow with MHD and viscous dissipation effects towards a stretching sheet with multimedia feature, International Journal of Heat and Mass Transfer, 112 (2017), pp. 983-990
- Hayat, T., Ullah, I., Alsaedi, A., Asghar, S., Flow of magneto Williamson nanoliquid towards stretching sheet with variable thickness and double stratification, Radiation Physics and Chemistry, (2018), doi.org/10.1016/j.radphyschem.2018.07.006
- Ullah, I., Waqas, M., Hayat, T., Alsaedi A., Khan, M. I., Thermally radiated squeezed flow of magneto-nanofluid between two parallel disks with chemical reaction, Journal of Thermal Analysis and Calorimetry, (2018) Doi.org/10.1007/s10973-018-7482-6
- Andersson, H. I., Valnes, O. A., Flow of a heated ferrofluid over a stretching sheet in the presence of a magnetic dipole, Acta Mechanica, 128 (1998), pp. 39-47
- Selimefendigil, F., Oztop, H. F., Al-Saleem, K., Effect of rotating cylender in forced convection of ferrofluid over a backward facing step, International Journal of Heat and Mass Transfer, 372 (2014), pp. 122-133
- Mustafa, M., Mushtaq, A., Hayat, T., Alsaedi, A., Rotating flow of magnetite-water nanofluid over a stretching surface inspired by non-linear thermal radiation, Plos One, 11 (2016), pp. e0149304
- Hayat T., Qayyum, S., Imtiaz, M., Alzahrani F., Alsaedi, A., Partial slip effect in flow of magnetite-3 3 Fe O nanoparticles between rotating stretchable disk, Journal of Magnetism and Magnetic Materials, 423 (2016), pp. 39-48
- Hayat, T., Ullah, I., Muhammad, T., Alsaedi, A., Magnetohydrodynamic (MHD) three-dimensional flow of second grade nanofluid by a convectively heated exponentially stretching surface, Journal of Molecular Liquids, 220 (2016), pp. 1004-1012
- Sheikholeslami, M., Hayat T., Alsaedi, A., Numerical simulation of nanofluid forced convection heat transfer improvement in existence of magnetic field using lattice Boltzmann method, International Journal of Heat and Mass Transfer, 108 (2017), pp. 1870-1883
- Liao, S. J., On the homotopy analysis method for nonlinear problems, Applied Mathematics and Computation, 147 (2004), pp. 499-513
- Hayat, T., Ali, S., Awais, M., Alsaedi, A., Joule heating effects in MHD flow of Burgers' fluid, Heat Transfer Research, 47 (2016), pp. 1083-1092
- Abbasbandy, S., Hayat, T., Alsaedi, A., Rashidi, M. M., Numerical and analytical solutions for Falkner-Skan flow of MHD Oldroyd-B fluid, International Journal of Numerical Methods Heat Fluid Flow, 24 (2014), pp. 390-401
- Hayat, T., Ali, S., Farooq, M. A., Alsaedi, A., On comparison of series and numerical solutions for flow of Eyring-Powell fluid with Newtonian heating and internal heat generation/absorption, PloS one, 10 (2015), pp. e0129613
- Zhn, J., Yang, D., Zaheng, L., Zhang, X., Effects of second order velocity slip and nanoparticles migration on flow of Buongiorno nanofluid, Applied Mathematical Letters., 52 (2016), pp. 183-191
- Turkyilmazoglu, M., An effective approach for evaluation of the optimal convergence control parameter in the homotopy analysis method, Filomat, 30 (2016), pp. 1633-1650
- Hayat, T., Ullah, I., Muhammad, T., Alsaedi, A., Radiative three-dimensional flow with Soret and Dufour effects, International Journal of Mechanical Sciences, 133 (2017), pp. 829-837
- Hayat, T., Ali, S., Alsaedi, A., Alsulami, H. H., Influence of thermal radiation and Joule heating in the Eyring-Powell fluid flow with the Soret and Dufour effects, Journal of Applied Mechanics and Technical Physics, 57 (2016), pp. 1051-1060
- Hayat, T., Ullah, I., Muhammad, T., Alsaedi, A., A revised model for stretched flow of third grade fluid subject to magneto nanoparticles and convective condition, Journal of Molecular Liquids, 230 (2017), pp. 608-615
- Farooq, A., Ali, R., Benim, A. C., Soret and Dufour effects on three dimensional Oldroyd-B fluid, Physica A, 503 (2018), pp. 345-354
- Hayat, T., Ullah, I., Alsaedi, A., Ahmad, B., Radiative flow of Carreau liquid in presence of Newtonian heating and chemical reaction, Results Physics, 7 (2017), pp. 715-722
- Hayat, T., Ullah, I., Ahmed, B., Alsaedi, A., MHD mixed convection flow of third grade liquid subject to non-linear thermal radiation and convective condition, Results Physics, 7 (2017), pp. 2804-2811
- Rashidi, M. M., Ashraf, M., Rostami, B., Rastegari, M. T., Bashir, S., Mixed convection boundary layer flow of micro polar fluid towards a heated shrinking sheet by homotopy analysis method, Thermal science, 20 (2016), pp. 21-34
- S. Ahmad, Khan, M. I., Khan, M. W. A., Tufail, A., Hayat, T., Ahmed. A., Impact of arrhenius activation energy in viscoelastic nanomaterial flow subject to binary chemical reaction and nonlinear mixed convection, Thermal Science, (2018) pp. 212-212
- Zaigham Zia, Q. M., Ullah, I., Waqas, M., Alsaedi, A., Hayat, T., Cross diffusion and exponential space dependent heat source impacts in radiated three-dimensional (3D) flow of Casson fluid by heated surface, Results in Physics, 8 (2018), pp. 1275-1282
- Hsiao, K. L., Combined electrical MHD heat transfer thermal extrusion system using Maxwell fluid with radiative and viscous dissipation effects, Applied Thermal Engineering, 112 (2017), pp.1281-1288
- Hayat, T., Ullah, I., Alsaedi A., and Ahmad, B., Simultaneous effects of non-linear mixed convection and radiative flow due to Riga-plate with double stratification, Journal of Heat Transfer, 140 (2018), pp. 102008
- Reddy C, S., Naikoti, K., Rashidi, M. M., MHD flow and heat transfer characteristics of Williamson nanofluid over a stretching sheet with variable thickness and variable thermal conductivity, Transactions of A. Razmadze Mathematical Institute, 171 (2017), pp. 195-211
- Hayat, T., Ullah, I., Waqas, M., Alsaedi, A., Flow of chemically reactive magneto Cross nanoliquid with temperature-dependent conductivity, Applied Nanosciences, (2018), doi.org/10.1007/s13204-018-0813-x.