COMBINED FLOW OF AN EXOTHERMIC FLUID WITH ELECTROKINETIC EFFECT OVER A MICROCHANNEL

Authors

  • Muhammed Murtala Hamza
    Department of Mathematics, Faculty of Physical and Computing Sciences, Usmanu Danfodiyo University, P. M. B. 2346 Sokoto state, Nigeria.
  • Godwin Ojemeri
    Federal University of Agriculture, Zuru, Kebbi State
  • Mohammed Dago Maigemu
    Department of Mathematics, College of Sciences, Federal University of Agriculture, Zuru
  • Abdulsalam Shuaibu
    Department of Mathematics, College of Sciences, Federal University of Agriculture, Kebbi State
  • Idris Omakwu Usman
    Brilliant Footsteps International Academy, Western Bypass, Sokoto.
  • Haruna Ishaya Germache
    Department of Mathematics, College of Sciences, Federal University of Agriculture, Zuru, Kebbi State
  • Jeremiah Aaron Dazi
    Department of Mathematics, College of Sciences, Federal University of Agriculture, Zuru, Kebbi State

Keywords:

Electrokinetic effect, Exothermic fluid, Homotopy perturbation method (HPM), Microchannel, Mixed (Combined) convection, Streaming potential

Abstract

The steady state analysis of chemically reacting heat transfer problem of mixed convection flow in a vertical microchannel that is fully developed and embedded with electro-kinetic effect is performed in this article. The energy, electric potential, and momentum equations are solved in non-dimensional form under unequal wall zeta potentials, employing the homotopy perturbation method (HPM). The basic flow behavior of electric potentials, temperature, and velocity is investigated as a function of regulating parameters such as the Debye-Huckel parameter, mixed convection parameter, chemical reaction parameter, and rarefaction parameter. The findings are carefully examined and graphically represented in a number of illustrative plots. It was found that raising the levels of mixed convection, chemical reaction, and rarefaction parameters causes the fluid flow to escalate while the function of viscous heating term is to speed up the fluid temperature. Additionally, mounting values of Debye–Hückel parameter retards the electric potential in the micro-channel. Also, when the mixed convection, chemical reaction, electric potential, and streaming potential factors are ignored, the numerical computations of this findings are consistent with the previously published results.

Dimensions

Ahmad, K. S., Jha, B. K. (2015). Computational methods of transient/steady natural convection flow of reactive viscous fluid in vertical porous pipe. Asian J. Math. Comput. Res. 2, 7492

Ajibade, A. O., Umar, A. M. (2021). Effects of viscous dissipation on a steady mixed convection Couette flow of heat generating/absorbing fluid. Science Forum (J Pure Applied Sci). 21, 67-76. http://dx.doi.org/10.5455/sf.93898

Al-Nimr, M. A., Khadrawi, A. F. (2004). Thermal behavior of a stagnant gas conned in a horizontal microchannel as described by the dual-phase-lag heat conduction model. Int. J. Thermophy. 25, 19531964

Arulanandam, S., Li, D. (2000). Liquid transport in rectangular microchannels by electroosmotic pumping. Colloids Surf. A Physicochem. Eng. Asp. 161, 89102.

Ayati, Z., Biazar, J. (2015). On the convergence of Homotopy Perturbation Method. J. Egyptian Math Soc. 23, 424-428

Buonomo, B., Manca, O. (2012). Natural Convection Flow in a Vertical Micro-Channel with Heated at Uniform Heat Flux. Int .J. Therm. Sci. 49, 1333-1344.

Chakraborty, J., Ray, S., Chakraborty, S. (2012). Role of streaming potential on pulsating mass flow rate control in combined electroosmotic and pressure-driven microfluidic devices. Electrophoresis 33, 419425

Chen, C. K., Weng, H. C. (2005). Natural convection in a vertical micro-channel. J. Heat Transf. 127, 1053-1056.

Daniel, Y. S., Daniel, S. K. (2015). Effects of buoyancy and thermal radiation on MHD ow over a stretching porous sheet using homotopy analysis method. Alex. Eng. J. 54, 705712.

Debye, P., Hckel, H. (1923). The theory of electrolytes. I. Lowering of freezing point and related phenomena. Phys. Z. 24, 185206.

Frank- Kamenetskii D. A. (1969). Diffusion and Heat Transf , New York.

Hamza, M. M., Abdulsalam Shuaibu and Ahmad, S. K. (2022). Unsteady MHD free convection flow of an exothermic fluid in a convectively heated vertical channel filled with porous medium, Sci. Reports,12, 11989.

Hamza M. M., Shehu A., Muhammad I., Ojemeri G. and Shuaibu A. (2024a). Electrokinetically controlled mixed convective heat flow in a slit microchannel, Heat transfer Wiley, DOI: 10.1002/htj.23104, 1-20.

Hamza M. M., Shehu A., Muhammad I., Shuaibu A. and Ojemeri G. (2024b). Electro-kinetically free convective heat generation/absorption fluid in a slit micro-channel, International Journal of Applied and Computational Mathematics, https://doi.org/10.1007/s40819-024-01765-x

Hamza, M. M., Balarabe A. Y., Ibrahim M., Akpootu D. O. and Sheriff A. (2025). Transient fractional dusty fluid flow in a superhydrophobic microchannel, European Physical Journal Plus,140, 366, pp 1-17.

Hamza, M. M., Ojemeri, G., Abdulsalam, S. (2019). Mixed convection flow of viscous reactive fluids with thermal diffusion and radial magnetic field in a vertical porous annulus. Comput. math. mod. 30, 239-253. https://doi.org/10.1007/510598-019-09451-0

Hindebu, B., Makinde, O. D., Guta, L. (2022). Unsteady mixed convection flow of variable viscosity nanofluid in a micro-channel filled with a porous medium. Indian J Phys, 96, 1749-1766

Hunter, R. J. (1981). Zeta potential in Colloid Science: Principles and Applications. Academic Press, New York

Jamaludin, A., Naganthran, K., Nazar, R., Pop, I. (2020). MHD mixed convection stagnation-point ow of Cu-Al2O3/water hybrid nanouid over a permeable stretching/shrinking surface with heat source/sink. Eur. J. Mech. Fluids 84, 7180.

Jha B. K., Aina B. (2016). Role of induced magnetic field on MHD natural convection flow in vertical microchannel formed by two electrically non-conducting infinite vertical parallel plates. Alexandria Eng. J. 55, 2087-2097.

Jha B. K., Samaila, A. K., Ajibade, A. O. (2011a). Transient free-convective flow of reactive viscous fluid in a vertical channel. Int. Commun. Heat Mass Transf. 38, 633637.

Jha, B. K, Samaila, A. K., Ajibade, A. O. (2011b). Transient free-convective flow of reactive viscous fluid in a vertical tube. Int. Commun. Heat Mass Transf. 54, 28802888

Jha, B. K. and Aina, B. (2015). Mathematical modeling and exact solution of steady fully developed mixed convection flow in a vertical micro-porous-annulus. J. AfrikaMatem-atika. 26, 1199-1213

Jha, B. K., Aina, B. Joseph, S. B. (2014b). Natural Convection Flow in vertical Micro-channel with Suction/Injection. J. Proc. Mech. Eng. 228, 171-180.

Jha, B. K., Aina, B., Ajiya, A. T. (2014a). MHD natural convection flow in a vertical parallel plate microchannel. Ain shams Eng. J. 6, 289-295.

Jha, B. K., Malgwi, P. B. (2019a). Hall current and ion slip effects on free convection flow in a vertical microchannel with induced magnetic field. Heat Transf. Asian Res. 48, 1 19.

Jha, B. K., Malgwi, P. B., Aina. B. (2017). Hall effects on MHD natural convection flow in a vertical microchannel. Alexandria Eng. J, http://dx.doi.org/10.1016/j.aej.2017.01.038

Jha, B. K., Oni, M.O. (2018a). Transient natural convection flow between vertical concentric cylinders heated/cooled asymmetrically. Proc. I Mech E Part A J Power Energy. https://doi.org/10.1177/0957650918758743.

Jha, B. K., Oni, M.O. (2019b). Mathematical modeling of combined pressure driven and electro-kinetic effect in a channel with induced magnetic field: an exact solution. J. King Saud Univ. Sci. 31, 575585. https://doi.org/10.1016/j.jksus.2018.10.009

Jha, B.K., Oni, M.O. (2019a). Natural convection flow in a vertical annulus with time-periodic thermal boundary conditions. Propul. Power Res. 8, 4755

Liechty, B.C., Webb, B.W., Maynes, R. D. (2005). Convective heat transfer characteristics of electro-osmotically generated flow in microtubes at high wall potential. Int. J. Heat Mass Transf. 48, 23602371

Makinde O. D. (2008). Thermal criticality in viscous reactive flows through channels with a sliding wall: an exploitation of the HermitePade approximation method. J. Math. Comput. Model. 47, 312317.

Mala, G.H., Li, D., Dale, J.D. (1997). Heat transfer and fluid flow in microchannels. Int. J. Heat Mass Tranf.40 (13),30793088

Mandal, B., Bhattacharyya, k., Banerjee, A., kumarverma, A., Gautam A. k. (2020). MHD mixed convection on an inclined stretching plate in Darcy porous medium with soret effect and variable surface conditions. Nonlinear Eng., 9, 457-469.. https://doi.org/10.1515/nleng-2020-0029

Mukhopadhyay, A., Banerjee, S., Gupta, C. (2009). Fully developed hydrodynamic and thermal transport in combined pressure and electrokinetically driven flow in a microchannel with asymmetric boundary conditions. Int. J. Heat Mass Transf. 52, 21452154.

Muthuraj, R., Srinivas, S. (2010). Mixed convective heat and mass transfer in a vertical wavy channel with travelling thermal waves and porous medium. J. Comput. Math.Appl. 35163528 19.

Onwubuya I. O., Ojemeri G. and Uko M. A. (2024). Performance assessment of viscous dissipative fluid due to heat source/sink in a slit microchannel, International Journal of Science for Global Sustainability, 10(3), 139-151.

Ojemeri G., Hamza M. M., Tambuwal B H., Bello I. and Shuaibu A. (2023). Influence of Soret and radial magnetic field on natural convection of a chemically reactive fluid in an upright porous annulus, UMYU Scientifica, 2(3), pp. 108-120

Ojemeri G., Onwubuya I. O., Omokhuale E., Hussaini A. and Shuaibu A. (2024). Analytical investigation of Arrhenius kinetics with heat source/sink impacts along A heated superhydrophobic microchannel, UMYU Scientifica, 3(1), pp. 61-71.

Ojemeri, G. and Hamza, M. M. (2022). Heat transfer analysis of Arrhenius-controlled free convective hydromagnetic flow with heat generation/absorption effect in a micro-channel, Alexandria Eng. J., 61, pp. 12797-12811,

Ojemeri G. and Onwubuya I. O. (2023). Significance of viscous dissipation and porosity effects in a heated superhydrophobic microchannel, Journal of Engineering Technology (JET), 14(2), pp. 1-19

Ojemeri, G., Onwubuya I. O., Abdulsalam S. (2019). Effects of Soret and Radial magnetic field of a free convection slip flow in a viscous reactive fluid towards a vertical porous cylinder. Cont. J. Applied Sci, 14, 25-45. https://doi.org/10.5281/zenodo.265200.

Ojemeri G., Shuaibu A., Abubakar A. Y., Usman I. O. and Ahmad I. S. (2025). Dynamics of viscous Casson fluid on combined convection flow with exothermic chemical reaction in an upstanding tube, Continental Journal of Aplied Sciences, 20 (1): 61 79. https://doi.org/10.5281/zenodo.14925803

Oni, M. O. and Jha, B. K. (2019). Heat transfer analysis of mixed convection flow in a vertical microchannel with electrokinetic effect, International Journal on Geomathematics. https://doi.org/10.1007/s13137-020-00165-9

Oztop, H. F., Al-Salem, K., Pop, I. (2011). MHD mixed convection in a lid-driven cavity with corner heater. Int. J. Heat Mass Transf. 54, 34943504

Probstein, R.F. (1994). Physicochemical Hydrodynamics: An Introduction. Wiley, New York.

Reuss, F. F. (1809). Sur unnouveleffet de llectricitgalvanique. Mm. Soc. Impr. Nat. Moscou. 2, 327337

Weng, H. C., Chen, C. K. (2009). Drag reduction and heat transfer enhancement over a heated wall of a vertical annular microchannel. Int. J. Heat Mass Transf 52, 10751079

Yale I. D., Uchiri A. M. T., Hamza M. M. and Ojemeri G. (2023). Effect of viscous dissipative fluid in a slit microchannel with heated superhydrophobic surface, Dutse Journal of Pure and Applied Sciences, 9(3b), pp. 290-302.

Yang, C., Li, D. (1998). Analysis of electrokinetic effects on the liquid flow in rectangular microchannels. J. Colloids Surf. 143, 339353.

Published

05-08-2025

How to Cite

COMBINED FLOW OF AN EXOTHERMIC FLUID WITH ELECTROKINETIC EFFECT OVER A MICROCHANNEL. (2025). FUDMA JOURNAL OF SCIENCES, 9(8), 24-35. https://doi.org/10.33003/fjs-2025-0908-3695

Issue

Vol. 9 No. 8 (2025): FUDMA Journal of Sciences - Vol. 9 No. 8

Section

Research Articles
Copyright & Licensing

How to Cite

COMBINED FLOW OF AN EXOTHERMIC FLUID WITH ELECTROKINETIC EFFECT OVER A MICROCHANNEL. (2025). FUDMA JOURNAL OF SCIENCES, 9(8), 24-35. https://doi.org/10.33003/fjs-2025-0908-3695

Most read articles by the same author(s)