THERMAL RADIATION AND SUCTION/INJECTION EFFECTS ON MIXED CONVECTION HEAT TRANSFER IN A POROUS COAXIAL CYLINDRICAL CHANNEL
DOI:
https://doi.org/10.33003/fjs-2026-1004-4596Keywords:
Suction/injection, Navier Slip, Thermal Radiation, Darcy Porous Medium, Coaxial cylinderAbstract
This study investigates the mixed convection heat transfer flow within a coaxial cylinder filled with a homogeneous porous medium. The mathematical model integrates the influences of heat radiation, Navier slip, and wall suction/injection. The Darcy–Brinkman model and the Rosseland approximation for radiative heat flux are employed to adjust the governing equations for momentum and energy formulated in cylindrical coordinates. Boundary conditions that account for slip velocity and mass suction/injection transfer are applied at the cylinder walls. Analytical solutions are obtained by solving the resulting nonlinear coupled equations. Parametric calculations indicate that injection promotes fluid acceleration within the annulus, while suction mitigates flow reversal and enhances thermal stability. Navier slips reduce skin friction at both the lower and upper cylindrical walls. Nevertheless, MHD reduces wall shear stress, especially near the inner cylinder. Thermal radiation increases the thermal boundary layer and elevates the temperature and velocity domains. Furthermore, it was demonstrated that the Darcy porous media significantly enhanced the velocity domain, leading to increased permeability with a rising value of Da. The findings provide significant insights for engineering designs involving porous annuli, thermal insulation devices, catalytic reactors, membrane filtration, and energy systems.
References
Abbas Z., Naveed M., Hussain M., and Nadeem S (2020), Analysis of entropy generation for MHD flow of viscous fluid embedded in a vertical porous channel with thermal radiation, Alexandria Engineering Journal, 59, pp 3395-3.
Alvarez, M., Colmenares, E. and Sequeira, F. A. (2022). Analysis of a semi-augmented mixed finite element method for double-diffusive natural convection in porous media, Computational Mathematics and Applications, 114, pp. 112–131, https://doi.org/10.1016/j.camwa.2022.03.032.
Bejawada S. G. and Nandeppanavar M. M. (2023). Effect of thermal radiation on magneto-hydrodynamics heat transfer micropolar fluid flow over a vertical moving porous plate, Experimental and computational multiphase flow, 5(2), 149-158.
Bordoloi R., Chamuah K., and Ahmed N. (2023). Free Convective MHD Radiative Flow Past a Porous Vertical Plate in a Porous Medium with Chemical Reaction, Biointerface Research in Applied Chemistry, 13 (3), pp. 1-15.
Chaudhary R. C. & Jain A. (2007). Combined heat and mass transfer effects on MHD free convection flow past an oscillating plate embedded in a porous medium. Romania Journal of Physics, 52, pp. 505–524.
Falade, J. A., Ukaegbu, J., Egere, A. C., and Adesanya, S. (2017). MHD Oscillatory Flow Through a Porous Channel Saturated with Porous Medium, Alexandria Engineering Journal, 56(1), pp. 147–152.
Gireesha, B. J., Sowmya, G. Khan, M. I., and Öztop, H. F. (2020). Flow of hybrid nanofluid across a permeable longitudinal moving fin along with thermal radiation and natural convection, Computer Method and Programs in Biomedicine, 185, pp. 105166–105166.
Goud B. S., Srilatha P., Mahendar D., Srinivasulu T., and Reddy Y. D. (2023). Thermal radiation effect on thermostatically stratified MHD fluid flow through an accelerated vertical porous plate with viscous dissipation, Partial Differential Equation in Applied Mathematics, 7, 100488.
Hamza M.M & S. Abdulsalam. S (2022). Influence of chemical kinetic exponent on transient mixed convective hydromagnetic flow in vertical channel with convective boundary condition, International Journal of Thermofluids,16,(2022),100220, ISSN 2666-2027, https://doi.org/10.1016/j.ijft.2022.100220.
Hamza M.M., Abdulsalam.S, & Ahmad S.K (2022). Unsteady MHD free convection flow of an exothermic fluid in a convectively heated vertical channel filled with porous medium. Sci Rep 12 11989. https://doi.org/10.1038/s41598-022- 16064-y
Hamza, M. M., Bello, I., Mustapha, A., Usman, U., and Ojemeri, G. (2023). Determining the role of thermal radiation on hydro-magnetic flow in a vertical porous super-hydrophobic microchannel, Dutse Journal of Pure and Applied Sciences, 9(2b), 297-308.
Hasan, N. Z., Mohammed, Y., Nasreen, S.N. (2020). Effects of thermal radiation, heat generation, and induced Magnetic field on Hydromagnetic free convective flow of couple stress fluid in an isoflux-isothermal vertical channel, Journal of Applied Mathematics, 2, 4539531.
Harshad R.P (2021). Thermal radiation effects on MHD flow with heat and mass transfer of micropolar fluid between two vertical walls. International journal of ambient energy.42:11, 1281-1296 http:/10.1080/01430750.2019.1594371.
Harshad R.P (2021). Cross diffusion and heat generation effects on mixed convection stagnation-point MHD Carreau fluid in a porous medium. International journal of ambient energy.42:11, 1281-1296 10.1080/01430750.2021.1931960
Jha, B. K., Isah, B. Y., and Uwanta, I. J. (2018). Combined Effect of Suction/Injection on MHD Free-Convection Flow in a Vertical Channel with Thermal Radiation, Ain Shams Engineering Journal, 9(4), pp. 1069– 1088.
Jha, B. K., Aina, T., and Ajiya, A. T. (2015), “Role of Suction/Injection on MHD Natural Convection Flow in a Vertical Microchannel,” Int. J. EnergyTechnol., 7(2), pp. 30–39.
Jha B. K., Altine M. M., and Hussaini A. M. (2022). Role of suction/injection on free convective flow in a vertical channel in the presence of point/line heat source/sink, ASME Journal of Heat Transfer, 144, pp. 062602
Jha, B. K. and Gwandu, B. J. (2019). MHD free convection flow in a vertical slit micro-channel with super-hydrophobic slip and temperature jump: non-linear Boussinesq approximation approach, SN Appl. Sci., DOI: 10.1007 /S42452-019-0617-Y
Jamaludin A., Naganthran K., Nazar R., Pop I. (2020). Thermal radiation and MHD effect in the mixed convection flow of Fe3 O4 water Ferrofluid towards a nonlinear moving surface, Processes, 8, (95). https: doi.org.10.3390/pr8010095
Kumar D., Singh A.K, Kumar. D (2017) Influence of heat source/sink on MHD flow between vertical alternate conducting walls with Hall effect, Physica A Taylor & Francis Group 544 123562.
Khalid, A., Khan, I., Khan, A., & Shafie, S. (2015). Unsteady MHD free convection flow of Casson fluid past an oscillating vertical plate embedded in a porous medium. Engineering Science. Technol. International. Journal. 80, 1– 9
Mishra A. K., Paul T., and Singh A. K. (2002). Mixed convention flow in a porous medium bounded by two vertical walls. Forsch Ingenieurwes, 67, pp. 198– 205.
Parthiban S. and Prasad V. R. (2023). Thermal radiation and Hall current effects in a MHD non-Darcy flow in a differentially heated square enclosure, Lattice-Boltzmann simulation, Journal of porous media, Begell house, 26(5), pp 37-56.
Shah N. A., Ahmed N., Vieru D., Fetecau C. (2019). Effects of double stratification and heat flux on convective flows over a vertical cylinder. Chin J Phys.;60:290‐306. https://doi.org/10.1016/j.cjph.2019.05.008
Shah S. A. G.A., Hassan A. Karamti H., Alhushaybari A., Eldin S. M., and Galal A. M. (2023). Effect of thermal radiation on convective heat transfer in MHD boundary layer Carreau fluid with chemical reaction, Scientific Reports, 13, 4117, https:/doi.org/10.1038/s41598-023-31151-4
Shawky. H.M (2012) Magnetohydrodynamic Casson fluid flow with heat and mass transfer through a porous medium over a stretching sheet. J. Porous Media 15, 393–401.
Uwanta, I. J., and Hamza, M. M. (2014). Effect of Suction/Injection on Unsteady Hydro-Magnetic Convective Flow of Reactive Viscous Fluid Between Vertical Porous Plates with Thermal Diffusion, International Scholarly Research, Article ID 980270, pp. 1–14.
Veerakrishna. M. Ameer. N, Ahamad. A & Chamkha A. (2020), Hall and ion slip effects on unsteady MHD free convective rotating flow through a saturated porous medium over an exponentially accelerated plate, Alexandria Engineering Journal 59, 2, 565-577. https://doi.org/10.1016/j.aej.2020.01.043
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Copyright (c) 2026 Abdulsalam Shuaibu, Yakubu Bello, Auwal Musa Kallamu, Godwin Ojemeri, Rashida Abdulrauf

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