Impact of Suction/Injection on the Non-Steady Shear-Mode Heat Mass Transfer Flow in Porous Channels

Authors

DOI:

https://doi.org/10.56919/usci.2433.022

Keywords:

Suction/Injection, MHD, Unsteady, Heat transfer, Mass transfer

Abstract

Study’s Excerpt/Novelty

  • This study introduces a comprehensive analysis of heat and mass transfer in porous channels using an implicit finite difference method, providing a detailed examination of the influence of various key parameters.
  • The research offers insights into the interdependencies between suction, chemical reaction, temperature, and their effects on concentration profiles, as well as the role of injection, thermal Grashof number, variable thermal conductivity, and Prandtl number in enhancing velocity and temperature profiles.
  • By employing MATLAB for the numerical analysis, this work contributes to a deeper understanding of flow transport phenomena under complex thermophysical conditions.

Full Abstract

This study employs an implicit finite difference method to solve the transformed non-dimensional governing equations, highlighting the effects of key parameters on heat and mass transfer in porous channels.  In order to demonstrate the behavior of the flow transport phenomena, the numerical results for the velocity, temperature, and concentration profiles are graphically illustrated.  Meanwhile, the skin friction, nusselt number, and sherwood number are presented graphically and discussed for a few chosen controlling thermo-physical parameters involved in the problems.  It has been noted that while the concentration profile reduces with a rising value in the sequence of suction, chemical reaction, and temperature, the velocity and temperature increase due to increases in injection, thermal grashof number, variable thermal conductivity, and prandtl number.  A mat lab software was used for the analysis and obtained all the results of the parameters.

References

Abiodun, O. A. and Kabir, T. M. (2020). The combine effect of variable viscosity and variable thermal conductivity on natural convection couette flow. International Journal of thermo fluids, 5-6. https://doi.org/10.1016/j.ijft.2020.100036

Amos, S. I. Mojeed T. A. Abubakar, Jos U. and Bidemi. O. F. (2020). MHD free convective heat and mass transfer flow of dissipative casson fluid with variable. Journal of Taibah University For Science, 14(1), 851-862. https://doi.org/10.1080/16583655.2020.1781431

Babu, P. R. Rao, J. A. and Sheri, S. (2014). Radiation effect on MHD heat and mass transfer flow over a shrinking sheet with suction. Jounal of applied fluid mechanics, 7(4),641- 650. https://doi.org/10.36884/jafm.7.04.21389

Bhattacharya, K. (2011). Effects of radiation and heat source/sink on unsteady MHD boundary layer flow and heat transfer over a shrinking sheet with suction/injection. Front. Chem. Sc. Eng. 5(3), 376-384. https://doi.org/10.1007/s11705-011-1121-0

Hsiao, KL. (2010). Heat and mass transfer for Viscous flow with radiation effect past a non-linear stretching sheet. World Academy of Science, Engineering and Technology, 62,326-330.

Ishak, A. Merkin, J. H. Nazar, R. and Pop, I. (2008). '' Mixed convection boundary layer flow over a permeable vertical surface with prescribed wall heat flux,'' ZAMP: Zeitschript fur angewandte Mathematik und hysik, vol. 59, no.1, pp. 100-123. https://doi.org/10.1007/s00033-006-6082-7

Iranian. D. Sudarmozhi, K. Ilyas, Khan. and Abdullahi, Mohamed. (2023). Significance of heat generation and impact of suction/injection on Maxwell fluid over a horizontal plate by the influence of radiation. International journal of Thermo fluids, vol. 20, pp. 2666-2027. https://doi.org/10.1016/j.ijft.2023.100396

Jha, B. K. Isah, B. Y. and Uwanta, I. J. (2016). Combined effect of suction/injection on MHD free – convection flow in a vertical channel with thermal radiation. Ain Shams Engineering Journal, 9: 1069-1088. https://doi.org/10.1016/j.asej.2016.06.001

Jha. B.K. and Aina. B. (2018). Role of suction/injection on steady fully developed mixed convection flow in a vertical parallel plate micro channel. Ain Shams Eng J ,9: 747-755. https://doi.org/10.1016/j.asej.2016.05.001

Jha. B.K. Luqman. A. and Michael, O.O. (2018). Unsteady hydromagnetic-free convection flow with suction/injection. J Taibah Univ Sci , 13: 136-145. https://doi.org/10.1080/16583655.2018.1545624

Kareem, R. A. and Salawu, S. O. (2017). Variable viscosity and thermal conductivity effect of soret and dufour on inclined magnetic field in Non-Darcy Permeable Medium with dissipation. Journal of Mathematics and Computer Science, 22(3), 1-12. https://doi.org/10.9734/BJMCS/2017/33669

Lavanya, B. and Ratmann, A. L. (2014). Radiation and mass transfer effects on un steady MHD natural convective flow past a vertical porous plate embedded in a porous medium in a ship flow regime with the heat source / sink effect . Int .J . Eng . Tech. Res.2.

Majid, Hussain. Akhtar, Ali. Mustapha, Inc. Ndolane, Sene. and Muhammad, Hussan. (2022). Impacts of Chemical reaction and Suction/Injection on the Mixed Convective Williamson Fluid past a Penetrable Porous Wedge. Journal of Mathematics, vol.22. 10pages. https://doi.org/10.1155/2022/3233964

Parasad, K. Vaidia, H. Makinde, O. Vajravelu, K. and Valmiki, R. (2020). Studied the effect of suction/ injection and heat transfer on unsteady MHD flow over a stretchable rotating disk. Latin American Applied Research 50(3), 159-165. https://doi.org/10.52292/j.laar.2020.254

Quader, A. and Alam, M. (2021). Soret and Duour Effects on unsteady Free Convection Fluid Flow in the Presence of Hall Current and Heat Flux. Journal of Applied Mathematics and Physics, 9, 1611-1638. https://doi.org/10.4236/jamp.2021.97109

Rehman, S. Idrees, M. Shah. R. A. and Khan, Z. (2019). Suction/injection effects on an unsteady MHD Casson thin film flow with slip and uniform thickness over a stretching sheet along variable flow properties. 26,1-24. https://doi.org/10.1186/s13661-019-1133-0

Sarojamma, G. Vijiya, L. R. Satya, N. and Vajravelu, K. (2019). Variable thermal conductivity and thermal radiation effect on the motion of a micro polar fluid over an upper surface. Journal of Applied and Computational Mechanics, 5(2), 441-453.

Seddek, M. A. and Salema, F. A. (2007). investigated the effects of temperature dependent viscosity and thermal conductivity on unsteady MHD convective heat transfer past a semi- infinite vertical porous plate in the presence of suction and magnetic field parameter. Computational Material Science, 40(2), 186-192. https://doi.org/10.1016/j.commatsci.2006.11.012

Shojaefard, M. H. Noorpoor, A. R. Avanesians, A. and Ghaffapour, M. (2005). Studied suction/injection to control fluid flow on the surface of subsonic aircraft. American Journal of Applied Sciences, vol. 20, pp. 1474-1480. https://doi.org/10.3844/ajassp.2005.1474.1480

Sree, P. K. S. and Alam, Md. M. (2021). Effect of variable viscosity and thermal conductivity on MHD natural convection flow along a vertical flat plate. Journal of Advances in Mathematics and Computer Science, 36(3), 58-71. https://doi.org/10.9734/jamcs/2021/v36i330347

Sumera, D. Kamel, S. Liaquat, A. L. Kaouther, G. Sami, U. K. Chemsedddine. M and Lioua, Ko. (2022). Effect of thermal stability of hybrid nanofluid with viscous dissipation and suction/injection applications: Dual branch framework. Journal of the Indian Chemical Society. vol. 99, pp. 1017-1035. https://doi.org/10.1016/j.jics.2022.100506

Usman Halima. M. S. Magami, M. Ibrahim and Omokhuale, E. (2017). Combined effects of magnetic field and chemical reaction on unsteady natural convective flow in a vertical porous channel. Asian journal of mathematics and computer research, 29(2), issn: 2395-4213(p), pp. 87-100.

Usman Halima. Tasi’u, Ahmad, Rufa’i. and Emmanuel, Omokhuale. (2022). Effects of suction/injection on free convective radiative flow in a vertical porous channel with mass transfer and chemical reaction. Ijsgs, vol. 8(4). Pp:28-37. https://doi.org/10.57233/ijsgs.v8i4.364x

Uwanta I. J. and Hamza M .M. (2014). Effect of suction / injection on unsteady hydromagnetic convective flow of reactive viscous fluid between vertical porous plates with thermal diffusion . Hindawi International Scholarly Research Notices,1—14. https://doi.org/10.1155/2014/980270

Uwanta I. J. and Usman Halima. (2014). Effect of variable thermal conductivity on heat and mass transfer flow over a vertical channel with magnetic field intensity. Journal of Applied and Computational Mathematics. 3(2),48-56.

Uwanta, I. J. and Usman, H. (2015). Finite difference solution of MHD free convective flow with constant suction and variable thermal conductivity in a Darcy- Forchheimer porous medium. IOSR Journal of Mathematics, 2(1), 42-58.

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Published

2024-09-01

How to Cite

Abdullahi, S., & Hanafi, J. (2024). Impact of Suction/Injection on the Non-Steady Shear-Mode Heat Mass Transfer Flow in Porous Channels. UMYU Scientifica, 3(3), 193–205. https://doi.org/10.56919/usci.2433.022

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