## THERMAL SCIENCE

International Scientific Journal

### INCLINED MAGNETIC FIELD EFFECTS ON MARANGONI FLOW OF CARREAU LIQUID

**ABSTRACT**

Marangoni convection flow of Carreau liquid by an inclined porous surface is addressed. Magnetic field is taken inclined. Non-linear thermal radiation effects are incorporated considering the Rosseland’s approximation. Runge-Kutta-Fehl¬berg fourth fifth order scheme is utilized to solve the non-linear equations subject to non-linear convective boundary conditions. Non-linear expression of Nusselt number is derived. Concrete graphical description is present out for flow velocity, temperature and Nusselt number. Numerical treatment of non-linear Nusselt number is performed and analyzed.

**KEYWORDS**

PAPER SUBMITTED: 2018-04-29

PAPER REVISED: 2018-07-11

PAPER ACCEPTED: 2018-07-13

PUBLISHED ONLINE: 2018-09-30

**THERMAL SCIENCE** YEAR

**2020**, VOLUME

**24**, ISSUE

**Issue 2**, PAGES [1131 - 1141]

- Zhao, J., et al., Unsteady Marangoni convection heat transfer of fractional Maxwell fluid with Cattaneo heat flux, Applied Mathematical Modelling, 44 (2017), pp. 497-507.
- Hayat, T., et al., Impact of Marangoni convection in the flow of carbon--water nanofluid with thermal radiation, International Journal of Heat and Mass Transfer, 106 (2017), pp. 810-815.
- Sheikholeslami, M., Ganji, D. D., Influence of magnetic field on CuO-H2O nanofluid flow considering Marangoni boundary layer, International Journal of Hydrogen Energy, 42 (2017), 5, pp. 2748-2755.
- Aly, E. H., Ebaid, A., Exact analysis for the effect of heat transfer on MHD and radiation Marangoni boundary layer nanofluid flow past a surface embedded in a porous medium, Journal of Molecular Liquids, 215 (2016), pp. 625-639.
- Hayat, T., et al., Marangoni mixed convection flow with Joule heating and nonlinear radiation, AIP Advances 5 (2015), 7, 077140.
- Khan, M., et al., On unsteady heat and mass transfer in Carreau nanofluid flow over expanding or contracting cylinder with convective surface conditions, Journal of Molecular Liquids, 231 (2017), pp. 474-484.
- Salahuddin, M., et al., MHD squeezed flow of Carreau-Yasuda fluid over a sensor surface, Alexandria Engineering Journal, 56 (2017), 1, pp. 27-34.
- Hashim., Khan, M., On Cattaneo-Christov heat flux model for Carreau fluid flow over a slendering sheet, Results in Physic, 7 (2017), pp. 310-319.
- Abbasi, F. M., et al., Numerical analysis for MHD peristaltic transport of Carreau-Yasuda fluid in a curved channel with Hall effects, Journal of Magnetism and Magnetic Materials, 382 (2015), pp. 104-110.
- Hayat, T., et al., Hall and radial magnetic field effects on radiative peristaltic flow of Carreau-Yasuda fluid in a channel with convective heat and mass transfer, Journal of Magnetism and Magnetic Materials, 412 (2016), pp. 207-216.
- Hayat, T., et al., Inclined magnetic field and heat source/sink aspects in flow of nanofluid with nonlinear thermal radiation, International Journal of Heat and Mass Transfer, 103 (2016), pp. 99-107.
- Khan, A. U., et al., Phase flow study of MHD nanofluid with slip effects on oscillatory oblique stagnation point flow in view of inclined magnetic field, Journal of Molecular Liquids, 224 (2016), B, pp. 1210-1219.
- Sivaraj, C., Sheremet, M. A., MHD natural convection in an inclined square porous cavity with a heat conducting solid block, Journal of Magnetism and Magnetic Materials, 426 (2017), pp. 351-360.
- Abbas, Z., et al., Slip flow of magnetite-water nanomaterial in an inclined channel with thermal radiation, International Journal of Mechanical Sciences, 122 (2017), pp. 288-296.
- Shahzadi, I., Nadeem, S., Inclined magnetic field analysis for metallic nanoparticles submerged in blood with convective boundary condition, Journal of Molecular Liquids, 230 (2017), pp. 61-73.
- Bhatti, M. M., et al., Mathematical modelling of nonlinear thermal radiation effects on EMHD peristaltic pumping of viscoelastic dusty fluid through a porous medium duct, Engineering Science and Technology, an International Journal, 20 (2017), 3, pp. 1129-1139.
- Pal, D., Saha, P., Influence of nonlinear thermal radiation and variable viscosity on hydromagnetic heat and mass transfer in a thin liquid film over an unsteady stretching surface, International Journal of Mechanical Sciences, 119 (2016), pp. 208-216.
- 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.
- Cortell, R., MHD (magneto-hydrodynamic) flow and radiative nonlinear heat transfer of a viscoelastic fluid over a stretching sheet with heat generation/absorption, Energy, 74, (2014), 1, pp. 896-905.
- Das, K., et al., Radiative flow of MHD Jeffrey fluid past a stretching sheet with surface slip and melting heat transfer, Alexandria Engineering Journal, 54 (2015), 4, pp. 815-821.
- Ali, H., Khan, M., Impact of heat transfer analysis on Carreau fluid flow past a static/moving wedge, Thermal Science, 22 (2018), 2, pp. 809-820.
- Kairi, R. R., Free convection around a slender paraboloid of non-Newtonian fluid in a porous medium, Thermal Science, (2018) in press. doi.org/10.2298/TSCI170809005K
- E. M. A. Elbashbeshy, et al., Flow and heat ransfer over a stretching surface with variable thickness in a Maxwell fluid and porous medium with radiation, Thermal Science, (2018) in press. doi.org/10.2298/TSCI170228146E
- Azimi, M., Riazi, R., Magnetohydrodynamic go-water nanofluid flow and heat transfer between two parallel moving disks, Thermal Science, 22 (2018), 1B, pp. 383-390.
- Hayat, T., et al., On model of Burgers fluid subject to magneto nanoparticles and convective conditions, Journal of Molecular Liquids, 222 (2016), pp. 181-187.