Energy optimization of water-based hybrid nanomaterials over a wedge-shaped channel

Document Type : Research Note

Authors

Department of Mathematics, Quaid-i-Azam University, Islamabad 44000, Pakistan

Abstract

Convergent/divergent channels have real-world applications including the production of fibers and glass, the fabrication of plastic sheets, the manipulation of molten metal streams, and the industrial casting of metal. This article intends to discuss the flow and thermal transport of mixture of nanoparticles, namely, copper and molybdenum oxide in a base fluid (water) over a wedge-shaped channel. The dissipation effects are taken into account. To understand the thermophysical characteristics of the nanoparticles, the Yamada Ota model is selected. By using similarity transformations, the partial differential equations are converted into ordinary differential equations. The numerical solution is developed by applying the bvp4c built-in MATLAB. The impact of irreversibility effects are also incorporated. Moreover, the outcomes for wall stress parameter and Nusselt number are calculated as function of pertinent parameters. It is noted that the momentum and energy of the system are reduced due to accretion in the nanoparticles volume fraction of copper for both hybrid nanofluids and conventional nanofluids. For both convergent and divergent channels, heat transport is an increasing function of Brinkman number. The numerical values of thermal transport are developed for a specific range of Brinkman number and decreased for Reynolds number.

Keywords

References

References:
1. Jeffery, G.B.L. "The two-dimensional steady motion of a viscous  fluid", Lond. Edinb. Dublin Philos. Mag. J. Sci., 29(172), pp. 455-465 (1915).
2. Hamel, G., Spiralformige, B., and Zaher, F. "Dersdeutschen jahresbericht", Math. Ver., 25, pp. 34-60 (1916).
3. Axford, W. "The magnetohydrodynamic Jeffrey- Hamel problem for a weakly conducting  fluid", Q. J. Mech. Appl. Math., 14(3), pp. 335-351 (1961).
4. Hamadiche, M., Scott, J., and Jeandel, D. "Temporal stability of Jeffery-Hamel flow", Journal of Fluid Mechanics, 268, pp. 71-88 (1994).
5. Makinde, O.D. and Mhone, P.Y. "Hermite-Pade approximation approach to MHD Jeffery-Hamel flows", Appl. Math. Comput., 181(2), pp. 966-972 (2006).
6. Esmaeilpour, M. and Ganji, D.D. "Solution of the Jeffery-Hamel flow problem by optimal homotopy asymptotic method", Comput. Math. with Appl., 59(11), pp. 3405-3411 (2010).
7. Mahmood, A., Md Basir, M.F., Ali, U., et al. "Numerical solutions of heat transfer for magnetohydrodynamic Jeffery-Hamel 
ow using spectral homotopy analysis method", Processes, 7(9), p. 626 (2019).
8. Ellahi, R. "Exact and numerical solutions for nonlinear differential equation of Jeffrey-Hamel  flow", 3(1), pp.1-7 (2011).
9. Abbasbandy, S. and Shivanian, E. "Exact analytical solution of the MHD Jeffery-Hamel  flow problem", Meccanica, 47(6), pp. 1379-1389 (2012).
10. Bougoffa, L., Mziou, S., and Rach, R.C. "Exact and approximate analytic solutions of the Jeffery-Hamel flow problem by the Duan-Rach modified Adomian decomposition method", Math. Model. Anal., 21(2), pp. 174-1787 (2016).
11. Amiri Rad, E., Mahpeykar, M.R., and Teymourtash, A.R. "Analytic investigation of the effects of condensation shock on turbulent boundary layer parameters of nucleating  ow in a supersonic convergent-divergent nozzle", Sci. Iran., 21(5), pp. 1709-1718 (2014).
12. Heydari, M.M. "Investigation of fluid flow and heat transfer of compressible flow in a constricted microchannel", Sci. Iran., 23(5), pp. 2144-2153 (2016).
13. Ahmad, S., Hayat, T., Alsaedi, A., et al. "Finite difference analysis of time-dependent viscous nanofluid flow between parallel plates", Commun. Theor. Phys., 71(11), p. 1293 (2019).
14. Choi, S.U. and Eastman, J.A. "Enhancing thermal conductivity of fluids with nanoparticles", Developments and Applications of Non-Newtonian Flows, 231(66), pp. 99-105 (1995).
15. Sheikholeslami, M., Ganji, D.D., Ashorynejad, H.R., et al. "Analytical investigation of Jeffery-Hamel flow with high magnetic field and nanoparticle by Adomian decomposition method", Appl. Math. Mech., 33(1), pp. 25-36 (2012).
16. Kumar, K.G., Rahimi-Gorji, M., Reddy, M.G., et al. "Enhancement of heat transfer in a convergent/ divergent channel by using carbon nanotubes in the presence of a Darcy-Forchheimer medium", Microsyst. Technol., 26(2), pp. 323-332 (2020).
17. Sarfraz, M., Khan, M., and Muhammad, Y. "Dynamics of water conveying iron oxide and graphene nanoparticles subject to stretching/spiraling surface: An asymptotic approach", Ain Shams Eng. J., 14(8), 102021 (2022).
18. Akinshilo, A.T., Ilegbusi, A., Ali, H.M., et al. "Heat transfer analysis of nanofluid flow with porous medium through Jeffery Hamel diverging/converging channel", J. Appl. Comput. Mech., 6(3), pp. 433-444 (2022).
19. Khan, M., Sarfraz, M., Ahmed, A., et al. "Study of engine-oil based CNT nanofluid flow on a rotating cylinder with viscous dissipation", Phys. Scr., 96(7), 075005 (2021).
20. Berrehal, H. and Makinde, O.D. "Heat transfer analysis of CNTs-water nanofluid flow between nonparallel plates: Approximate solutions", Heat Transf., 50(5), pp. 4978-4992 (2021).
21. Das, A.C. and Nasa, Q.N. "Analysis of magnetohydrodynamic Jeffery-Hamel  flow in a convergent-divergent channel using Cu-water nanofluid", J. Eng. Sci., 12(2), pp. 79-92 (2021).
22. Shampine, L.F., Kierzenka, J., and Reichelt, M.W. "Solving boundary value problems for ordinary differential equations in MATLAB with bvp4c", Tutorial notes 2000, pp. 1-27 (2000).
23. Motsa, S.S., Sibanda, P., and Marewo, G.T. "On a new analytical method for flow between two inclined walls", Numer. Algorithms, 61(3), pp. 499-514 (2012).
24. Khan, U., Ahmed, N., and Mohyud-Din, S.T. "Heat transfer effects on carbon nanotubes suspended nanofluid flow in a channel with non-parallel walls under the effect of velocity slip boundary condition: a numerical study", Neural Comput. Appl., 28(1), pp. 37-46 (2017).
Scientia Iranica
Volume 31, Issue 1
Transactions on Mechanical Engineering (B)
January and February 2024
Pages 71-82

Files

Share

How to cite

Statistics