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Journal of Applied Nonlinear Dynamics 10(2) (2021) 305--314 | DOI:10.5890/JAND.2021.06.009

Surender Ontela , Lalrinpuia Tlau

Department of Mathematics, National Institute of Technology Mizoram, Aizawl 796012, Mizoram, India

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Abstract

The present analysis consists of a mixed convection micropolar nanofluid flow in a porous medium-filled upright channel. The mathematical equations governing the flow consists of second order differential equations for the velocity, micropolarity and temperature. These equations have been solved utilizing the Homotopy Analysis Method (HAM). The series solution expression is thus obtained for the velocity, temperature and micro-rotation profiles. The value of the entropy generation and the irreversibility ratio are determined. The effect of specific flow parameters on the generation of entropy and irreversibility are displayed graphically and deliberated fervently.

References

1. [1]	Choi, S.U.S. and Eastman, J.A. (1995), Enhancing thermal conductivity of fluids with nanoparticles, ASME International Mechanical Engineering Congress and Exposition, 66, 99-105.

2. [2]	Wong, K.V. and De Leon, O. (2010), Applications of nanofluids: Current and future, Advances in Mechanical Engineering, 2010.

3. [3]	Saidur, R., Leong, K.Y., and Mohammad, H.A. (2011), A review on applications and challenges of nanofluids, Renewable and Sustainable Energy Reviews, 15(3), 1646-1668.

4. [4]	Eringen, A.C. (1966), Theory of Micropolar Fluids, J. Math.Mech., 16(1), 1-18.

5. [5]	Chamkha, A.J., Grosan, T., and Pop, I. (2002), Fully developed free convection of a micropolar fluid in a vertical channel, International Communications in Heat and Mass Transfer, 29(8), 1119-1127.

6. [6]	Chamkha, A.J., Grosan, T., and Pop, I. (2003), Fully Developed Mixed Convection of a Micropolar Fluid in a Vertical Channel, International Journal of Fluid Mechanics Research, 30(3), 251-263.

7. [7]	Cheng, C.Y. (2006), Fully developed natural convection heat and mass transfer of a micropolar fluid in a vertical channel with asymmetric wall temperatures and concentrations, International Communications in Heat and Mass Transfer, 33(5), 627-635.

8. [8]	Bataineh, A.S., Noorani, M.S.M., and Hashim, I. (2009), Solution of fully developed free convection of a micropolar fluid in a vertical channel by homotopy analysis method, International Journal for Numerical Methods in Fluids, 60(7), 779-789.

9. [9]	Abdulaziz, O., Noor, N.F.M., and Hashim, I. (2009), Homotopy analysis method for fully developed MHD micropolar fluid flow between vertical porous plates, International Journal for Numerical Methods in Engineering, 78(7), 817-827.

10. [10]	Kumar, L., Bhargava, R., Bhargava, P., and Takhar, H.S. (2005), Finite element solution of mixed convection micropolar fluid flow between two vertical plates with varying temperature, Archive of Mechanics, 57(4), 251-264.

11. [11]	Ashmawy, E.A. (2015), Fully developed natural convective micropolar fluid flow in a vertical channel with slip, Journal of the Egyptian Mathematical Society, 23(3),563-567.

12. [12]	Mohyud-Din, S.T., Jan, S.U., Khan, U., and Ahmed, N. (2018), MHD flow of radiative micropolar nanofluid in a porous channel: optimal and numerical solutions, Neural Computing and Applications, 29(3), 793-801.

13. [13]	Hussain, S.T., Nadeem, S., and Ul Haq, R.(2014), Model-based analysis of micropolar nanofluid flow over a stretching surface, European Physical Journal Plus, 129, 161.

14. [14]	Turk and Tezer-Sezgin, M. (2017), FEM solution to natural convection flow of a micropolar nanofluid in the presence of a magnetic field, Meccanica, 52, 889-901.

15. [15]	Noor, N.F.M., Haq, R.U., Nadeem, S., and Hashim, I. (2015), Mixed convection stagnation flow of a micropolar nanofluid along a vertically stretching surface with slip effects, Meccanica, 50(8), 2007-2022.

16. [16]	Bejan, A. (1979), A Study of Entropy Generation in Fundamental Convective Heat Transfer, Journal of Heat Transfer, 101(4), 718.

17. [17]	Srinivasacharya, D. and Himabindu, K. (2018), Effect of slip and convective boundary conditions on entropy generation in a porous channel due to micropolar fluid flow, International Journal of Nonlinear Sciences and Numerical Simulation, 19(1), 11-24.

18. [18]	Srinivas, J., Murthy, J.V.R., and Chamkha, A.J. (2016), Analysis of entropy generation in an inclined channel flow containing two immiscible micropolar fluids using HAM, International Journal of Numerical Methods for Heat and Fluid Flow, 26, 1027-1049.

19. [19]	Srinivasacharya, D. and Himabindu, K. (2017), Entropy generation of micropolar fluid flow in an inclined porous pipe, Advances and Applications in Fluid Mechanics, 20(3), 335-351.

20. [20]	Khan, N.A., Naz, F., and Sultan, F. (2017), Entropy generation analysis and effects of slip conditions on micropolar fluid flow due to a rotating disk, Open Engineering, 7(1), 185-198.

21. [21]	Jangili, S., Adesanya, S.O., Falade, J.A., and Gajjela, N. (2017), Entropy Generation Analysis for a Radiative Micropolar Fluid Flow Through a Vertical Channel Saturated with Non-Darcian Porous Medium, International Journal of Applied and Computational Mathematics, 3(4), 3759-3782.

22. [22]	Liao, S. (2004), Beyond Perturbation: Introduction to the Homotopy Analysis Method.

23. [23]	Ahmed, S.E. (2017), Modeling natural convection boundary layer flow of micropolar nanofluid over vertical permeable cone with variable wall temperature, Applied Mathematics and Mechanics (English Edition), 38(8), 1171-1180.

24. [24]	Liao, S. (2010), An optimal homotopy-analysis approach for strongly nonlinear differential equations, Communications in Nonlinear Science and Numerical Simulation, 15(8), 2003-2016.

25. [25]	Aung, W. and Worku, G. (1986), Theory of Fully Developed, Combined Convection Including Flow Reversal, Journal of Heat Transfer, 108(2), 485-488.