## THERMAL SCIENCE

International Scientific Journal

### ENTROPY GENERATION ANALYSIS ON TWO-PHASE MICROPOLAR NANOFLUIDS FLOW IN AN INCLINED CHANNEL WITH CONVECTIVE HEAT TRANSFER

**ABSTRACT**

This article deals the entropy generation due to mixed convective flow of two nonmiscible and electrically conducting fluids streaming through an inclined channel by considering convective boundary conditions at the walls of channel. Micropolar fluid is flowing adjacent to the upper wall of the channel and fluid flowing between the non- Newtonain fluid layer and lower plate of channel is water based nanofluid. The transformed dimensionless coupled equations are solved numerically via shooting technique. The numerical results are plotted to analyze the effects of various emerging parameters. This study shows that an increase in magnetic parameter and Brinkman number causes an increase in entropy generation whereas entropy generation reduces with increase in micropolar parameter and nanoparticle volume fraction.

**KEYWORDS**

PAPER SUBMITTED: 2017-07-15

PAPER REVISED: 2017-10-04

PAPER ACCEPTED: 2017-10-29

PUBLISHED ONLINE: 2017-11-18

**THERMAL SCIENCE** YEAR

**2019**, VOLUME

**23**, ISSUE

**3**, PAGES [1765 - 1777]

- R. Shail, On laminar two-phase flows in magnetohydrodynamics, Int. J. Engng. Sci., 11 (1973), pp. 1103-l 108
- M. S. Malashetty and J. C. Umavathi, Two-Phase magnetohydrodynamic flow and heat transfer in an inclined channel, Int. J. Multiphase Flow, 23 (1997), pp. 545-560
- J. P. Kumar, J. C. Umavathi and B.M. Biradar, Two-fluid mixed magnetoconvection flow in a vertical enclosure, J. Appl. Fluid Mech., 5 (2012), pp. 11-21
- Z. Abbas, J. Hasnain, and M. Sajid, MHD two-phase fluid flow and heat transfer with partial slip in an inclined channel, Thermal Science, 20, (2016), 5. pp.1435-1446
- J. Hasnain, Z. Abbas and M. Sajid, Effects of porosity and mixed convection on MHD two phase fluid flow in an inclined channel, Plos One, (2015), DOI:10.1371/journal.pone.0119913
- A. C. Eringen, Theory of micropolar fluids, J. Math. Mech., 16 (1966), pp. 1-18
- A. C. Eringen, Theory of thermomicropolar fluids, J. Math. Anal. Appl., 38 (1972), pp. 480-496
- J. P. Kumar, J. C. Umavathi, A. J. Chamkha and I. Pop, Fully-developed free-convective flow of micropolar and viscous fluids in a vertical channel, Appl. Math. Model, 34 (2010), pp. 1175-1186
- P. Sibanda, F. G. Awad, Flow of a micropolar fluid in channel with heat and mass transfer, Latest Trends on Theoretical and Applied Mechanics, Fluid Mechanics and Heat & Mass Transfer, (2010), pp. 112-120
- M. Sheikholeslami, M. Hatami and D. D. Ganji, Micropolar fluid flow and heat transfer in a permeable channel using analytical method, J. Molec. Liq., 194 (2014), pp. 30-36
- A. Tetbirt, M. N. Bouaziz, M. T. Abbes, Numerical study of magnetic effect on the velocity distribution field in a macro/micro - scale of a micropolar and viscous fluid in a vertical channel, J. Molec. Liq., 216 (2016), pp. 103-110
- S. U. S. Choi, Enhancing thermal conductivity of fluids with nanoparticles, The Proceedings of the 1995 ASME International Mechanical Engineering Congress and Exposition, San Francisco, USA, ASME, FED 231/MD 66, (1995) pp. 99-105.
- S. U. S. Choi, Z.G. Zhang, W. Yu, F.E. Lockwood and E.A. Grulke, Anomalously thermal conductivity enhancement in nanotube suspensions, Appl. Phys. Lett., 79 (2001), pp. 2252-2254
- Hakan F. Oztop, Eiyad Abu-Nada, Numerical study of natural convection in partially heated rectangular enclosures filled with nanofluids, Int. J. Heat Fluid Flow, 29 (2008), pp. 1326-1336
- M. Sheikholeslami, M. Hatami and D. D. Ganji, Analytical investigation of MHD nanofluid flow in a semi-porous channel, Powder Technology, 246 (2013), pp. 327-336
- I. Fersadou, H. Kahalerras and M. El Ganaoui, MHD mixed convection and entropy generation of a nanofluid in a vertical porous channel, Computers & Fluids, 121 (2015), pp. 164-179
- S. Das, R. N. Jana and O. D. Makinde, Mixed convection magnetohydrodynamic flow in a vertical channel filled with nanofluids, Eng. Sci. Tech., Int. J., 18 (2015), pp. 244-255
- M. H. Abolbashari, N. Freidoonimehr, F. Nazari and M. M. Rashidi, Analytical modeling of entropy generation for Casson nano-fluid flow induced by a stretching surface, Advanced Powder Technology,26 (2015), pp. 542-552
- S. Khalili,H. Tamim, A. Khalili and M. M. Rashidi, Unsteady convective heat and mass transfer in pseudoplastic nanofluid over a stretching wall, , Advanced Powder Technology,26 (2015), pp. 1319-1326
- M. M. Bhatti and M. M. Rashidi, Effects of Thermo-Diffusion and Thermal Radiation on Williamson Nanofluid over a Porous Shrinking/Stretching Sheet, J. Molec. Liq. 221 (2016), pp. 567-573
- S. Das, R. N. Jana, Entropy generation due to MHD flow in a porous channel with Navier slip, Ain Shams Eng. J., 5 (2014), pp. 575-584
- S. Das, A. S. Banu, R. N. Jana and O. D. Makinde, Entropy analysis on MHD pseudo-plastic nanofluid flow through a vertical porous channel with convective heating, Alexandria Eng. J., 54 (2015), pp. 325-337
- G. Ibáñez, Entropy generation in MHD porous channel with hydrodynamic slip and convective boundary conditions, Int. J. Heat Mass Trans., 80 (2015), pp. 274-280
- Cha'o-Kuang Chen, Bo-Shiuan Chen and Chin-Chia Liu, Entropy generation in mixed convection magnetohydrodynamic nanofluid flow in vertical channel, Int. J. Heat Mass Trans., 91 (2015), pp. 1026-1033
- J. A. Falade, S. O. Adesanya, J. C. Ukaegbu and M.O. Osinowo, Entropy generation analysis for variable viscous couple stress fluid flow through a channel with non-uniform wall temperature, Alexandria Eng. J., 55 (2016), 69-75