Convection driven flow between moving diska- A non-linear approach for modelling thermal radiation

Document Type : Article

Authors

1 Department of Basic Science and Humanities, Muhammad Nawaz Sharif University of Engineering & Technology, Multan 60000, Pakistan

2 Centre for Advanced Studies in Pure & Applied Mathematics, Bahauddin Zakariya University, Multan 60800, Pakistan

Abstract

Flows involving two disks have significant applications in heat exchangers, rotating machinery parts, data storage devices, oceanography and viscometers. In this investigation, heat and mass transfer characteristics are examined in Casson flow between two orthogonally moving disks, with nonlinear thermal radiation under the slip and convective conditions, using the powerful tool of similarity transformation. A MATLAB code, based on quasi-linearization, has been developed for the numerical study. It is observed that, when the disks are receding, the disk expansion ratio raises the velocity profile near the center of the region between the two disks. The trend is, however, reversed when the disks are approaching each other. Moreover, all the governing parameters remarkably elevate the fluid temperature at a central region between the disks, for both cases. A remarkable lowering in concentration distribution is also noted with the Schmidt number and the chemical reaction parameter. Finally, compared to thermal and concentration profiles, it is the velocity distribution which is least affected.

Keywords

Main Subjects

References

References:
1. Joseph, M., Chong, Z., and Christopher, A.D. "Two dimensional viscous  flows between slowly expanding or contracting walls with weak permeability", J. Biomech., 35, pp. 1399-1403 (2002). DOI: 10.1016/s0021-9290(02)00186-0.
2. Von Karman, T. "Uber laminare and turbulente reibung", Zeit. Angew. Math. Mech. (1921). DOI:10.1002/ZAMM.19210010401.
3. Abbas, Z., Rauf, A., Shehzad, S.A., et al. "Cattaneo-Christov heat and mass flux models on time-dependent swirling  flow through oscillatory rotating disk", Scientia Iranica., 28, pp. 1329-1341 (2021). DOI: 10.24200/sci.2020.53248.3139.
4. Abbasi, A., Mabood, F., Farooq, W., et al. "Bio convective  flow of viscoelastic nano fluid over a convective rotating stretching disk", Int. J. of Heat and Mass Tranf., 119, 104921 (2020). https://doi.org/10.1016/j.icheatmasstransfer. 2020.104921.
5. Mair, K., Salahuddin, T., and Stephen, S.O. "Thermophysical characteristics of liquids and gases near a rotating disk", Chaos Sol. and Fract., 141, 110304 (2020). https://doi.org/10.1016/j.chaos.2020.110304.
6. Muhammad, S., Nazir, U., Chu, Y.M., et al. "Bioconvection phenomenon for the boundary layer  flow of magnetohydrodynamic Carreau liquid over a heated disk", Scientia Iranica., 28, pp. 1896-1907 (2021).
7. Adil, S., Farwa, H., and Tasawar, H., "Partial slip in Darcy-Forchheimer carbon nanotubes  flow by rotating disk", Int. J. of Heat and Mass Tranfer., 116, 104641 (2020). https://doi.org/10.1016/j.icheatmasstransfer. 2020.104641.
8. Mamatha, U., Devi, R.L., Raju, C.S., et al. "Magnetohydrodynamic nonlinear thermal convection nano fluid flow over a radiated porous rotating disk with internal heating", J. of Ther. Ana. and Calo., 143, pp. 1973-1984 (2021). https://doi.org/10.1007/s10973- 020-09669-w.
9. Jawad, A., Masood, K., and Latif, A. "Stagnation point  flow of Maxwell nano fluid over a permeable rotating disk with heat source/sink", J. of Mol. Liq., 287, 110853 (2019). https://doi.org/10.1016/j.molliq.2019.04.130.
10. Babu, B.H., Rao, P.S., Reddy, M.G., et al. "Numerical modelling of activation energy and hydromagnetic non- Newtonian  fluid particle deposition  flow in a rotating disc", J. of Pro. mech. Engg., 237, 10.1177 (2021). https://doi.org/10.1177/09544089211045907.
11. Ali, K., Ahmad, A., Ahmad, S., et al. "A numerical approach for analyzing the Electromagnetohydrodynamic flow through a rotating microchannel", Arab. J. of Sci. & Engg., 48, pp. 3765-3781 (2023). https://doi.org/10.1007/s13369-022-07222-5.
12. Syed, M.R., Hyun, M.K., Taseer, M., et al. "Numerical study for slip  flow of Reiner-Rivlin nano fluid due to a rotating disk", Int. J. of Heat and Mass Tranfer, 116, 104643 (2020). https://doi.org/10.1016/j.icheatmasstransfer. 2020.104643.
13. Iqbal, M.F., Ali, K., and Ashraf, M. "Heat and mass transfer analysis in unsteady titanium dioxide nano fluid between two orthogonally moving porous coaxial disks: a numerical study", Cand. J. Phy., 93 (2014). https://doi.org/10.1139/cjp-2014-0243.
14. Iqbal, M.F., Ahmad, S., Ali, K., et al. "Analysis of heat and mass transfer in unsteady nano fluid flow between moving disk with chemical reaction- A numerical study", Heat Transfer Research, pp. 1403-1417 (2018). DOI: 10.1615/HeatTransRes.2018016244.
15. Masood, K., Jawad, A., and Wajid, A. "Thermal analysis for the radiative  flow of magnetized maxwell fluid over a vertically moving rotating disk", J. of Ther. Anal. And Calo., 143, pp. 4081-4094 (2021). https://doi.org/10.1007/s10973-020-09322-6.
16. Muhammad, S., Muhammad, B., Muhammad, A.K., et al. "Fractional analysis of viscous  fluid  flow with heat and mass transfer over a  flexible rotating disk", CMES, 123, pp. 377-400 (2020).  https://doi.org/10.32604/cmes.2020.08076.
17. Taza, G., Kashif, U., Muhammad, I.A., et al. "Hybrid nano fluid  flow within the conical gap between the cone and the surface of a rotating disk", Scientfic Report, 11, 1180 (2021). https://doi.org/10.1038/s41598-020- 80750-y.
18. Talat, R., Mustafa. M., and Asif, F. "Modeling heat transfer in  fluid  flow near a decelerating rotating disk with variable  fluid properties", Int. J. of Heat and Mass Tranf., 116, 104673 (2020). https://doi.org/10.1016/j.icheatmasstransfer. 2020.104673.
19. Khan, M.R., Pan, K., Khan, A., et al. "Dual solutions for mixed convection  flow of SiO2-Al2O3/water hybrid nano fluid near the stagnation point over a curved surface", Physica A: Stat. Mech. App., 547, 123959 (2020). https://doi.org/10.1016/j.physa.2019.123959.
20. Hussain, A., Alshbool, M.H., Abdussattar, A., et al. "A computational model for hybrid nano fluid  flow on a rotating surface in the existence of convective condition", Case Studies in Thermal Engg., 26, 101089 (2021). https://doi.org/10.1016/j.csite.2021.101089.
21. Li, Y., Alshbool, M.H., Yu-Pei, K., et al. "Heat and mass transfer in MHD Williamson nano fluid flow over an exponentially porous stretching surface", Case Studies in Thermal Engg., 26, 100975 (2021). https://doi.org/10.1016/j.csite.2021.100975.
22. Khan, M.R., Pan, K., Khan, A., et al. "Comparative study on heat transfer in CNTswater nano fluid over a curved surface", Int. Comm. Heat and Mass Transfer, 116, 104707 (2020). https://doi.org/10.1016/j.icheatmasstransfer. 2020.104707.
23. Naveen, K., Punith, G., Gireesha, B.J., et al. "Non-Newtonian hybrid nano fluid  flow over vertically upward/downward-moving rotating disk in a Darcy-Forchheimer porous medium", The Eur. Phy. J. Sp. Top., 230, pp. 1227-1237 (2021). https://doi.org/10.1140/epjs/s11734-021-00054-8.
24. Zhao, T.H., Khan, M.I., and Chu, Y.M. "Artificial neural networking (ANN) analysis for heat and entropy generation in  flow of non-Newtonian  fluid between two rotating disks", Mathematical Methods in the Spplied Science, pp. 3012-3030 (2023). https://doi.org/10.1002/mma.7310.
25. Ghaffar, M., Ali, K., Yasmin, A., et al. "Unsteady flow between two orthogonally moving porous disks", J. of Mechanics, 31, pp. 147-151 (2015). https://doi.org/10.1017/jmech.2014.90.
26. Shehzad, S.A., Mabood, F., Rauf, A., et al. "Rheological features of non-Newtonian nano fluids  flow induced by stretchable rotating disk", Phys. Scr., 96, 035210 (2021). DOI: 10.1088/1402-4896/abd652.
27. Ali, K., Ahmad, A., Ahmad, S., et al. "Peristaltic pumping of MHD  flow through a porous channel: biomedical engineering application", Waves in Rand. And Complex Media, 17455030 (2023). https://doi.org/10.1080/17455030.2023.2168085.
28. Shamshuddin, M.D., Akkurt, N., Saeed, A., et al. "Radiation mechanism on dissipative ternary hybrid nanoliquid  flow through rotating disk encountered by Hall currents: HAM solution", Alexandria Engg. J., 65, pp. 543-559 (2023). https://doi.org/10.1016/j.aej.2022.10.021.
29. Ahmad, S., Ahmad, A., Ali, K., et al. "Effect of non-Newtonian  flow due to thermally-dependent properties over an inclined surface in the presence of chemical reaction, Brownian motion and thermophoresis", Alexandria Engg. J., 60, pp. 4931-4945 (2021). https://doi.org/10.1016/j.aej.2021.03.014.
30. Jawad, R., Rohni, A.M., and Omer, Z. "Unsteady  flow of Casson  fluid between two orthogonally moving porous disks: A numerical investigation", Communication in Numerical Analysis, 55996581 (2017). DOI:10.5899/2017/CNA-00291.
Scientia Iranica
Volume 31, Issue 16
Transactions on Mechanical Engineering (B)
September and October 2024
Pages 1402-1419

Files

Share

How to cite

Statistics