Chemical Reaction of Prandtl-Eyring Hydromagnetic Nanofluid Flow in Porous Media: Thermophoretic and Brownian Motion Effects

References

[1] Choi, S.U.S. (1995). Enhancing thermal conductivity of fluids with nanoparticles. ASME FED 231, 99–105.

[2] Eastman, J.A., et al. (2001). Anomalously increased effective thermal conductivities of ethylene glycol-based nanofluids. Appl. Phys. Lett., 78(6), 718–720.

[3] Lee, S., et al. (1999). Measuring thermal conductivity of fluids containing oxide nanoparticles. J. Heat Transfer, 121(2), 280–289.

[4] Buongiorno, J. (2006). Convective transport in nanofluids. J. Heat Transfer, 128(3), 240–250.

[5] Khan, W.A., & Pop, I. (2010). Boundary-layer flow of a nanofluid past a stretching sheet. Int. J. Heat Mass Transf., 53(11-12), 2477–2483.

[6] Bachok, N., et al. (2010). Boundary layer flow of nanofluids over a moving surface. Int. J. Heat Mass Transf., 55(4), 807–813.

[7] Nadeem, S., et al. (2013). MHD flow of a nanofluid over a stretching sheet. Appl. Nanosci., 3, 213–220.

[8] Rashidi, M.M., et al. (2016). MHD nanofluid flow over a stretching sheet with chemical reaction. Ain Shams Eng. J., 7(1), 237–245.

[9] Wakif, A., et al. (2021). Thermal radiation and entropy generation in nanofluid flows. Case Stud. Therm. Eng., 25, 100891.

[10] Ellahi, R., et al. (2015). MHD flow of nanofluid with Joule heating. Appl. Math. Model., 39(1), 17–32.

[11] Mustafa, M., et al. (2012). Stagnation point flow of nanofluid with magnetic field. J. Thermophys. Heat Transf., 26(4), 691–697.

[12] Noghrehabadi, A., et al. (2013). Heat transfer in MHD nanofluid over a stretching surface. Heat Mass Transf., 49, 427–435.

[13] Hayat, T., et al. (2017). Prandtl-Eyring fluid flow over a nonlinear stretching surface. J. Mol. Liq., 225, 569–577.

[14] Akbar, N.S., et al. (2014). Prandtl-Eyringnanofluid over a stretching sheet. J. Comput. Theor. Nanosci., 11(2), 485–490.

[15] Rehman, K., et al. (2020). Influence of variable thermal conductivity on Prandtl-Eyringnanofluid. Results Phys., 16, 102869.

[16] Malik, M.Y., et al. (2015). Effects of magnetic field on Prandtl-Eyring fluid flow. J. Magn. Magn. Mater., 382, 355–360.

[17] Hayat, T., et al. (2018). Prandtl-Eyring fluid with mixed convection. Eur. Phys. J. Plus, 133, 388.

[18] Chamkha, A.J., et al. (2017). MHD nanofluid flow in porous media. Int. Commun. Heat Mass Transf., 86, 50–57.

[19] Raju, C.S.K., et al. (2018). Nanofluid flow over a porous stretching sheet. J. Braz. Soc. Mech. Sci. Eng., 40, 489.

[20] Das, K., (2011). Chemical reaction effects on nanofluid flow. Comput. Math. Appl., 62(2), 888–896.

[21] Ramzan, M., et al. (2017). MHD chemically reactive nanofluid flow with thermal radiation. J. Mol. Liq., 229, 161–168.

[22] Liao, S. (2003). Beyond perturbation: Introduction to the homotopy analysis method. CRC Press.

[23] Ganji, D.D., et al. (2014). Analytical techniques for nanofluid problems. Therm. Sci., 18(4), 1303–1310.

[24] Rashidi, M.M., et al. (2015). Approximate analytical solutions using the RKF method. J. Comput. Appl. Math., 276, 431–445.

[25] Salawu,S.O.(2023).Stagnation-point flow of Williamson fluid along a stretched plate with convective thermal condition and activation energy. Int. J. of Appl. Mech. and Engin. 28(3) 101-111.

[26] Disu, A.B., Salawu, S.O.(2023).Thermal distribution of magneto tangent hyperbolic flowing fluid over a porous moving sheet: Lie group analysis. J. of the Nig. Soc. of Phys. Sci., 5, 1103.

[27] Salawu S.O., Okoya, S.S. (2025): Exothermic diffusion-reaction and explosion branch-chain of an asymmetrical heating channel with convective cooling. Combut. Sci. and Techn. 197, 1154-1168.

@article{1719722,
      author = {J. O. Ajilore, S. O. Salawu, O. K. Onanuga, A. A. Abdurasid, I. A. Idowu},
      title = {Chemical Reaction of Prandtl-Eyring Hydromagnetic Nanofluid Flow in Porous Media: Thermophoretic and Brownian Motion Effects},
      journal = {Iconic Research And Engineering Journals},
      year = {2026},
      volume = {10},
      number = {1},
      pages = {1344-1354},
      issn = {2456-8880},
      url = {https://www.irejournals.com/formatedpaper/1719722.pdf},
      abstract = {This study investigates the steady two-dimensional magnetohydrodynamic (MHD) flow of an electrically conducting Prandtl-Eyring nanofluid over a stretching sheet embedded in a porous medium, incorporating the effects of Brownian motion, thermophoresis, and a first-order chemical reaction. The Buongior nonanofluid model is employed to describe nanoparticle transport mechanisms, while similarity transformations reduce the governing nonlinear partial differential equations to a coupled system of nonlinear ordinary differential equations. The resulting boundary-value problem is solved numerically using a shooting technique combined with the classical fourth-order Runge-Kutta method, and the accuracy of the numerical procedure is verified through comparison with existing results available in the literature. The influence of key physical parameters, including the magnetic, porous medium, Prandtl-Eyring fluid, Brownian motion, thermophoresis, Prandtl, Lewis, and chemical reaction parameters, on the velocity, temperature, and concentration fields is systematically examined. The results reveal that increasing magnetic field strength and porous resistance suppress the fluid velocity while enhancing the wall shear stress. Brownian motion and thermophoresis significantly increase the thermal boundary layer thickness, whereas higher Prandtl and Lewis numbers reduce the temperature and concentration distributions, respectively. Furthermore, stronger chemical reactions reduce nanoparticle concentration, while the surface heat transfer rate increases with the Prandtl number but decreases with increasing Brownian motion and thermophoresis. These findings provide valuable insight into the transport characteristics of non-Newtonian nanofluids in porous media and may contribute to the design of advanced thermal management systems, energy devices, and chemically reactive industrial processes.},
      keywords = {Brownian Motion, Chemical Reaction, Porous Medium, Prandtl-Eyringnano Fluid, Thermophoresis.},
      month = {July},
      doi = {https://doi.org/10.64388/IREV10I1-1719722}
  }