References
1. Saffman, P.G. ‘‘On the stability of laminar flow of a dusty gas”, J. Fluid Mech.;13(1), pp. 120–128 (1962). https://doi.org/10.1017/S0022112062000555
2. Michael, D.H. and Miller, D.A. ‘‘Plate parallel flow of a dusty gas’’, Mathematika;13(1), pp. 97–109 (1966). https://doi.org/10.1112/S0025579300004289
3. Michael, D.H. ‘‘The steady motion of a sphere in a dusty gas’’. J. Fluid Mech.;31(1), pp. 175–192 (1968). https://doi.org/10.1017/S0022112068000091
4. Marble, F.E. ‘‘Dynamics of dusty gases’’, Annu. Rev. Fluid Mech., 2(1), pp. 397–446 (1970). https://doi.org/10.1146/annurev.fl.02.010170.002145
5. Singh, C.B. and Ram, P.C. ‘‘Unsteady flow of an electrically conducting dusty viscous liquid through a channel’’, Indian J. Pure Appl. Math.;8(9), pp. 1022–1028 (1977). http://pascal–francis.inist.fr/vibad/index.php
6. Dalal, D.C., Datta, N., and Mukherjea, S.K. ‘‘Unsteady natural convection of a dusty fluid in an infinite rectangular channel’’, Int. J. Heat Mass Transfer, 41(3), pp. 547–562 (1998). https://doi.org/10.1016/S0017–9310(97)00189–0
7. Hossain, M.A., Bhowmick, S., and Gorla, R.S.R. ‘‘Unsteady mixed–convection boundary layer flow along a symmetric wedge with variable surface temperature’’, Int J Eng Sci., 44(10), pp. 607–620 (2006). https://doi.org/10.1016/j.ijengsci.2006.04.007
8. Palani, G. and Ganesan, P. ‘‘Heat transfer effects on dusty gas flow past a semi–infinite inclined plate’’, Forsch Ingenieurwes, 71(3–4), pp. 223–230 (2007). https://doi.org/10.1007/s10010–007–0061–9
9. Ellahi, R. ‘‘The effects of MHD and temperature dependent viscosity on the flow of non–Newtonian nanofluid in a pipe: analytical solutions’’, Appl Math Model., 37(3), pp. 1451–1467 (2013). https://doi.org/10.1016/j.apm.2012.04.004
10. Khan, A.A., Usman, H., Vafai, K., et al. ‘‘Study of peristaltic flow of magneto hydro dynamics Walter's B. fluid with slip and heat transfer”, Sci. Iran., 23(6), pp. 2650–2662 (2016). https://doi.org/10.24200/sci.2016.3974
11. Hossain, M.A., Roy, N.C., and Siddiqa, S. ‘‘Unsteady mixed convection dusty fluid flow past a vertical wedge due to small fluctuation in free stream and surface temperature’’, Appl Math Comput., 293, pp. 480–492 (2017). https://doi.org/10.1016/j.amc.2016.08.048
12. Sheikholeslami, M., Shehzad, S.A., Li, Z., et al. ‘‘Numerical modeling for alumina nanofluid magnetohydrodynamic convective heat transfer in a permeable medium using Darcy law’’, Int. J. Heat Mass Transfer., 127, pp. 614–622 (2018). https://doi.org/10.1016/j.ijheatmasstransfer.2018.07.013
13. Hasnain, J., Abbas, Z., Sheikh, M., et al. ‘‘Analysis of dusty Casson fluid flow past a permeable stretching sheet bearing power law temperature and magnetic field’’, Int. J. Numer Meth Heat Fluid Flow, 30(6), pp. 3463–3480 (2019). https://doi.org/10.1108/HFF–11–2018–0685
14. Hady, F.M., Mahdy, A., Mohamed, R.A., et al. ‘‘Unsteady natural convection flow of a dusty non–Newtonian Casson fluid along a vertical wavy plate: numerical approach’’, J. Braz Soc Mech. Sci. Eng. 41(11), p. 472 (2019). https://doi.org/10.1007/s40430–019–1966–6
15. Yousif, M.A., Ismael, H.F., Abbas, T., et al. ‘‘Numerical study of momentum and heat transfer of MHD Carreau nanofluid over an exponentially stretched plate with internal heat source/sink and radiation’’, Heat Transf. Res., 50(7), (2019). https://doi.org/10.1615/HeatTransRes.2018025568
16. Reddy, M.G., Rani, M.S., Kumar, K.G., et al. ‘‘Hybrid dusty fluid flow through a Cattaneo Christov heat flux model’’, Physica A: Stat Mech. Appl., 551, 123975 (2020). https://doi.org/10.1016/j.physa.2019.123975
17. Turkyilmazoglu, M. ‘‘Suspension of dust particles over a stretchable rotating disk and two–phase heat transfer’’, Int J Multiphase Flow., 127, 103260 (2020). https://doi.org/10.1016/j.ijmultiphaseflow.2020.103260
18. Nguyen, T.K., Sheikholeslami, M., Jafaryar, M., et al. ‘‘Design of heat exchanger with combined turbulator’’, J. Therm Anal Calorim., 139(1), pp. 649–659 (2020). https://doi.org/10.1007/s10973–019–08401–7
19. Khan, A.A., Arshad, A., Ellahi, R., et al. ‘‘Heat transmission in Darcy–Forchheimer flow of Sutterby nanofluid containing gyrotactic microorganisms’’, Int. J. Numer. Meth. Heat Fluid Flow., 33(1), pp. 135–152 (2023). https://doi.org/10.1108/HFF–03–2022–0194
20. Choi, S.U.A and Eastman, J.A., Enhancing Thermal Conductivity of Fluids with Nanoparticles (No. ANL/MSD/CP–84938; CONF–951135–29). Argonne Natl Lab, IL (United States) (1995).https://www.researchgate.net/publication/236353373_Enhancing_thermal_conductivity_of_fluids_with_nanoparticles
21. Lee, S., Choi, S.S., Li, S.A., et al., ‘‘Measuring thermal conductivity of fluids containing oxide nanoparticles’’, J Heat Transfer.,121(2), pp. 280–289(1999). https://doi.org/10.1115/1.2825978
22. Das, S.K., Choi, S.U., Yu, W., et al., Nanofluids: Science and Technology, John Wiley and Sons (2007). https://doi.org/10.1002/9780470180693
23. Haq, R.U., Nadeem, S., Akbar, N.S., et al. ‘‘Buoyancy and radiation effect on stagnation point flow of micropolar nanofluid along a vertically convective stretching surface’’, IEEE Trans Nano technology, 14(1), pp. 42–50 (2015). https://doi.org/10.1109/TNANO.2014.2363684
24. Ellahi, R., Hassan, M., and Zeeshan, A. ‘‘Aggregation effects on water base Al2O3–nanofluid over permeable wedge in mixed convection’’, Asia–Pacific J Chem Eng., 11(2), pp. 179–186 (2016). https://doi.org/10.1002/apj.1954
25. Alamri, S.Z., Ellahi, R., Shehzad, N., et al. ‘‘Convective radiative plane Poiseuille flow of nanofluid through porous medium with slip: an application of Stefan blowing’’, J Mol Liquids., 273, pp. 292–304 (2019). https://doi.org/10.1016/j.molliq.2018.10.038
26. Shah, Z., Babazadeh, H., Kumam, P., et al. ‘‘Numerical simulation of magnetohydrodynamic nanofluids under the influence of shape factor and thermal transport in a porous media using CVFEM’’, Front Phys., 7, 164 (2019). https://doi.org/10.3389/fphy.2019.00164
27. Asifa, Anwar T., Kumam, P., et al. ‘‘Significance of shape factor in heat transfer performance of molybdenum–disulfide nanofluid in multiple flow situations; A comparative fractional study’’, Molecules, 26(12), 3711 (2021). https://doi.org/10.3390/molecules26123711
28. Zeeshan, A., Ahmad, M., Ellahi, R., et al. ‘‘Hydromagnetic flow of two immiscible nanofluids under the combined effects of Ohmic and viscous dissipation between two parallel moving plates’’, J. Magn. Magn Mater., 575, 170741 (2023).
https://doi.org/10.1016/j.jmmm.2023.170741
29. Shah, Z., Shafiq, A., Rooman, M., et al. ‘‘Darcy Forchheimer Prandtl–Eyring nanofluid flow with variable heat transfer and entropy generation using Cattaneo–Christov heat flux model: Statistical approach’’, Case Stud Thermal Eng., 49, 103376 (2023). https://doi.org/10.1016/j.csite.2023.103376
30. Suresh, S., Venkitaraj, K.P., Selvakumar, P., et al. ‘‘Effect of Al2O3–Cu/water hybrid nanofluid in heat transfer’’, Exp Therm Fluid Sci., 38, pp. 54–60 (2012). https://doi.org/10.1016/j.expthermflusci.2011.11.007
31. Labib, M.N., Nine, M.J., Afrianto, H., et al. ‘‘Numerical investigation on effect of base fluids and hybrid nanofluid in forced convective heat transfer’’, Int. J. Therm. Sci.,71, pp. 163–171 (2013). https://doi.org/10.1016/j.ijthermalsci.2013.04.003
32. Sundar, L.S., Sousa, A.C., and Singh, M.K. ‘‘Heat transfer enhancement of low volume concentration of carbon nanotube–Fe3O4/water hybrid nanofluids in a tube with twisted tape inserts under turbulent flow’’, J. Therm. Sci. Eng. Appl., 7(2), 021015 (2015). https://doi.org/10.1115/1.4029622
33. Nadeem, S., Abbas, N., and Khan, A.U. ‘‘Characteristics of three–dimensional stagnation point flow of hybrid nanofluid past a circular cylinder’’, Results Phys., 8, pp. 829–835 (2018). https://doi.org/10.1016/j.rinp.2018.01.024
34. Nadeem, S. and Abbas, N. ‘‘On both MHD and slip effect in micropolar hybrid nanofluid past a circular cylinder under stagnation point region’’, Can J Phys., 97(4), pp. 392–399 (2018). https://doi.org/10.1139/cjp–2018–0173
35. Sheikholeslami, M., Jafaryar, M., and Li, Z. ‘‘Nanofluid turbulent convective flow in a circular duct with helical turbulators considering CuO nanoparticles’’, Int J Heat Mass Transfer., 124, pp. 980–989 (2018). https://doi.org/10.1016/j.ijheatmasstransfer.2018.04.022
36. Dalkılıç, A.S., Türk, O.A., Mercan, H., et al. ‘‘An experimental investigation on heat transfer characteristics of graphite-SiO2/water hybrid nanofluid flow in horizontal tube with various quad-channel twisted tape inserts’’, Int Commun Heat Mass Transfer., 107, pp. 1–13 (2019). https://doi.org/10.1016/j.icheatmasstransfer.2019.05.013
37. Sheikholeslami, M., Gerdroodbary, M.B., Moradi, R., et al. ‘‘Application of neural network for estimation of heat transfer treatment of Al2O3-H2O nanofluid through a channel’’, Comput Methods Appl Mech Eng., 344, pp. 1–12 (2019). https://doi.org/10.1016/j.cma.2018.09.025
38. Shah, Z., Rooman, M., and Shutaywi, M. ‘‘Computational analysis of radiative engine oil–based Prandtl–Eyring hybrid nanofluid flow with variable heat transfer using the Cattaneo–Christov heat flux model’’, RSC Adv., 13(6), pp. 3552–3560 (2023). https://doi.org/10.1039/D2RA08197K
39. Noreen, S., Farooq, U., Waqas, H., et al. ‘‘Comparative study of ternary hybrid nanofluids with role of thermal radiation and Cattaneo–Christov heat flux between double rotating disks’’, Sci Rep., 13(1), 7795 (2023). https://doi.org/10.1038/s41598–023–34783–8
40. Ullah, A., Fatima, N., Alharbi, K.A.M., et al. ‘‘A numerical analysis of the hybrid nanofluid (Ag+ TiO2+ Water) flow in the presence of heat and radiation fluxes’’, Energies. 16(3), 1220 (2023). https://doi.org/10.3390/en16031220
41. Rehman, A., Khun, M.C., Khan, D., et al. ‘‘Stability analysis of the shape factor effect of radiative on MHD couple stress hybrid nanofluid’’, South Afr J Chem Eng. 46, pp. 394–403 (2023). https://doi.org/10.1016/j.sajce.2023.09.004