Hybrid Analysis of Micropolar Ethylene-glycol Nanofluid on Stretching Surface Mounted Triangular, Rectangular and Chamfer Fins by FEM Strategy and Optimization with RSM Method

Document Type : Original Article


1 Department of Mechanical Engineering, Mazandaran University of Science and Technology, Babol, Iran

2 Department of Mechanical Engineering Noshirvani University of Technology, Babol, Iran


This paper analysis heat transfer and angular velocity of micropolar ethylene-glycol nanofluid over the triangular, rectangular and chamfer fins on the stretching sheet. The innovation of this paper is to investigate parameters of nanofluid flow passing from the different fins on the stretching surface. The finite Element Method is selected for solving governing equations. The nanofluid temperature in the space of fins is warm and equal to the surface temperature. The temperature value is 30 degrees. The maximum values of nanofluid temperature exist in the last fin of surfaces. By passing the nanofluid flow from the first fins of the surface, the temperature of flow comes from 25℃ to 31℃  and at the ends of the surface, the temperature is high value. The maximum of ethylene glycol angular velocity occurs at x=0.9 for chamfer and rectangular modes and the minimum of temperature occurs at x=0.8 for 3 different fins. The angular velocity for nanofluid on the triangular and chamfer modes is 6.5% bigger than other baffles.


Main Subjects

  1. Atashafrooz, M., Sajjadi, H., Amiri Delouei, A., Yang, T.-F., and Yan, W.-M. “Three-dimensional analysis of entropy generation for forced convection over an inclined step with presence of solid nanoparticles and magnetic force.” Numerical Heat Transfer, Part A: Applications, Vol. 80, No. 6, (2021), 318–335. https://doi.org/10.1080/10407782.2021.1944579
  2. Atashafrooz, M. “Influence of radiative heat transfer on the thermal characteristics of nanofluid flow over an inclined step in the presence of an axial magnetic field.” Journal of Thermal Analysis and Calorimetry, Vol. 139, No. 5, (2020), 3345–3360. https://doi.org/10.1007/s10973-019-08672-0
  3. Atashafrooz, M., Sajjadi, H., and Delouei, A. A. “Interacting influences of Lorentz force and bleeding on the hydrothermal behaviors of nanofluid flow in a trapezoidal recess with the second law of thermodynamics analysis.” International Communications in Heat and Mass Transfer, Vol. 110, (2020), 104411. https://doi.org/10.1016/j.icheatmasstransfer.2019.104411
  4. Atashafrooz, M. “The effects of buoyancy force on mixed convection heat transfer of MHD nanofluid flow and entropy generation in an inclined duct with separation considering Brownian motion effects.” Journal of Thermal Analysis and Calorimetry, Vol. 138, No. 5, (2019), 3109–3126. https://doi.org/10.1007/s10973-019-08363-w
  5. Atashafrooz, M., Sheikholeslami, M., Sajjadi, H., and Amiri Delouei, A. “Interaction effects of an inclined magnetic field and nanofluid on forced convection heat transfer and flow irreversibility in a duct with an abrupt contraction.” Journal of Magnetism and Magnetic Materials, Vol. 478, (2019), 216–226. https://doi.org/10.1016/j.jmmm.2019.01.111
  6. Sheikholeslami, M., Sajjadi, H., Amiri Delouei, A., Atashafrooz, M., and Li, Z. “Magnetic force and radiation influences on nanofluid transportation through a permeable media considering Al2O3 nanoparticles.” Journal of Thermal Analysis and Calorimetry, Vol. 136, No. 6, (2019), 2477–2485. https://doi.org/10.1007/s10973-018-7901-8
  7. Atashafrooz, M. “Effects of Ag-water nanofluid on hydrodynamics and thermal behaviors of three-dimensional separated step flow.” Alexandria Engineering Journal, Vol. 57, No. 4, (2018), 4277–4285. https://doi.org/10.1016/j.aej.2017.07.016
  8. Yamini, O. A., Kavianpour, M. R., and Movahedi, A. “Performance of Hydrodynamics Flow on Flip Buckets Spillway for Flood Control in Large Dam Reservoirs.” Journal of Human, Earth, and Future, Vol. 1, No. 1, (2020), 39–47. https://doi.org/10.28991/HEF-2020-01-01-05
  9. Aminoroayaie Yamini, O., Mousavi, S. H., Kavianpour, M. R., and Safari Ghaleh, R. “Hydrodynamic Performance and Cavitation Analysis in Bottom Outlets of Dam Using CFD Modelling.” Advances in Civil Engineering, Vol. 2021, , (2021), 1–14. https://doi.org/10.1155/2021/5529792
  10. Ţălu, Ş., Kulesza, S., Bramowicz, M., Sağlam, H., and Kus, R. “Fractal geometry of internal thread surfaces manufactured by cutting tap and rolling tap.” Manufacturing Letters, Vol. 23, (2020), 34–38. https://doi.org/10.1016/j.mfglet.2019.12.001
  11. Zheng, Z., and Dai, H. “Structural stochastic responses determination via a sample-based stochastic finite element method.” Computer Methods in Applied Mechanics and Engineering, Vol. 381, (2021), 113824. https://doi.org/10.1016/j.cma.2021.113824
  12. Pasha, P., Nabi, H., Asadi, Z., and Domairry Ganji, D. “Analytical solution of non -Newtonian second –grade fluid flow by VIM and ADM methods on a stretching sheet.” In 1st Conference on Electrical, Mechanical and Engineering Sciences, (2021), 1–17. Retrieved from https://civilica.com/doc/1170934
  13. Coggon, J. H. “Electromagnetic and electrical modeling by the finite element method.” Geophysics, Vol. 36, No. 1, (1971), 132–155. https://doi.org/10.1190/1.1440151
  14. Pasha, P., Nabi, H., and Domairry Ganji, D. “Numerical and analytical comparison of the stability and instability of angular motion of a bar drawn by a spring by AGM method.” In 5th National Conference on Application of Novel Technologies in Engineering Sciences,Torbat Heydarieh (2021), 1–9. Retrieved from https://civilica.com/doc/1202840
  15. Veera Krishna, M., Ameer Ahamad, N., and Chamkha, A. J. “Hall and ion slip effects on unsteady MHD free convective rotating flow through a saturated porous medium over an exponential accelerated plate.” Alexandria Engineering Journal, Vol. 59, No. 2, (2020), 565–577. https://doi.org/10.1016/j.aej.2020.01.043
  16. Tripathy, R. S., Dash, G. C., Mishra, S. R., and Baag, S. “Chemical reaction effect on MHD free convective surface over a moving vertical plate through porous medium.” Alexandria Engineering Journal, Vol. 54, No. 3, (2015), 673–679. https://doi.org/10.1016/j.aej.2015.04.012
  17. Sarkar, G. M., and Sahoo, B. “On dual solutions of the unsteady MHD flow on a stretchable rotating disk with heat transfer and a linear temporal stability analysis.” European Journal of Mechanics - B/Fluids, Vol. 85, (2021), 149–157. https://doi.org/10.1016/j.euromechflu.2020.09.010
  18. Turner, M. R., and Weidman, P. “Homann stagnation-point flow impinging on a biaxially stretching surface.” European Journal of Mechanics - B/Fluids, Vol. 86, (2021), 49–56. https://doi.org/10.1016/j.euromechflu.2020.11.010
  19. Pasha, P., Mirzaei, S., and Zarinfar, M. “Application of numerical methods in micropolar fluid flow and heat transfer in permeable plates.” Alexandria Engineering Journal, Vol. 61, No. 4, (2022), 2663–2672. https://doi.org/10.1016/j.aej.2021.08.040
  20. Jalili, B., Sadighi, S., Jalili, P., and Ganji, D. D. “Characteristics of ferrofluid flow over a stretching sheet with suction and injection.” Case Studies in Thermal Engineering, Vol. 14, (2019), 100470. https://doi.org/10.1016/j.csite.2019.100470
  21. Brinkman, H. C. “The Viscosity of Concentrated Suspensions and Solutions.” The Journal of Chemical Physics, Vol. 20, No. 4, (1952), 571–571. https://doi.org/10.1063/1.1700493
  22. Bourantas, G. C., and Loukopoulos, V. C. “MHD natural-convection flow in an inclined square enclosure filled with a micropolar-nanofluid.” International Journal of Heat and Mass Transfer, Vol. 79, (2014), 930–944. https://doi.org/10.1016/j.ijheatmasstransfer.2014.08.075
  23. Hussanan, A., Ismail, Z., Khan, I., Hussein, A. G., and Shafie, S. “Unsteady boundary layer MHD free convection flow in a porous medium with constant mass diffusion and Newtonian heating.” The European Physical Journal Plus, Vol. 129, No. 3, (2014), 46. https://doi.org/10.1140/epjp/i2014-14046-x
  24. Khan, U., Ahmed, N., and Mohyud-Din, S. T. “Numerical investigation for three dimensional squeezing flow of nanofluid in a rotating channel with lower stretching wall suspended by carbon nanotubes.” Applied Thermal Engineering, Vol. 113, (2017), 1107–1117. https://doi.org/10.1016/j.applthermaleng.2016.11.104
  25. Mohyud-Din, S., Khan, U., Ahmed, N., and Hassan, S. “Magnetohydrodynamic Flow and Heat Transfer of Nanofluids in Stretchable Convergent/Divergent Channels.” Applied Sciences, Vol. 5, No. 4, (2015), 1639–1664. https://doi.org/10.3390/app5041639
  26. Zang, Q., Liu, J., Lu, L., and Lin, G. “A NURBS-based isogeometric boundary element method for analysis of liquid sloshing in axisymmetric tanks with various porous baffles.” European Journal of Mechanics - B/Fluids, Vol. 81, (2020), 129–150. https://doi.org/10.1016/j.euromechflu.2020.01.010
  27. Hashemi, M. S. “A novel simple algorithm for solving the magneto-hemodynamic flow in a semi-porous channel.” European Journal of Mechanics - B/Fluids, Vol. 65, (2017), 359–367. https://doi.org/10.1016/j.euromechflu.2017.05.008
  28. Srinivasacharya, D., and Jagadeeshwar, P. “Flow Over an Exponentially Stretching Porous Sheet with Cross-diffusion Effects and Convective Thermal Conditions.” International Journal of Engineering, Transaction A: Basics, Vol. 31, No. 1, (2018), 120–127. https://doi.org/10.5829/ije.2018.31.01a.17
  29. Sureshkumar, D., and Ethiraj, N. “Experimental and Finite Element Analysis of Single Stage Single Point Incremental Forming.” International Journal of Engineering, Transaction A: Basics, Vol. 34, No. 10, (2021), 2259–2265. https://doi.org/10.5829/ije.2021.34.10a.07
  30. Bhaskara Rao, J., and Beatrice Seventline, J. “Estimation of Roughness Parameters of A Surface Using Different Image Enhancement Techniques.” International Journal of Engineering, Transaction B: Applications, Vol. 30, No. 5, (2017), 652–658. https://doi.org/10.5829/idosi.ije.2017.30.05b.04
  31. Fereidoon, A., and Mohammadian, M. “Young s Modulus of Single and Double Walled Carbon Nanocones Using Finite Element Method.” International Journal of Engineering, Transaction C: Aspects, Vol. 27, No. 9, (2014), 1467–1474. https://doi.org/10.5829/idosi.ije.2014.27.09c.17
  32. Sheel, T. K., and Obi, S. “Acceleration of bluff body calculation using MDGRAPE-2.” International Journal of Engineering, Transactions A - Basics, Vol. 23, No. 2, (2010), 169–176. Retrieved from https://www.sid.ir/en/Journal/ViewPaper.aspx?ID=213089