Dissipative Hydromagnetic Flow of an Arrhenius Fluid with Variable Properties under No-Slip Boundary Conditions
Keywords:
No-slip condition; Activation energy; Reaction order; Arrhenius kinetics; Viscous Dissipation.
Abstract
This study focuses on investigating the non-slip hydromagnetic laminar dissipation flow with Arrhenius kinetics in binary reactions characterized by reaction order and variable properties within an unbounded isothermal device. In the absence of material distortion, the species mixture in the fluid is activated by factors such as internal heating, reaction order, and activation energy. This study focuses on investigating the non-slip hydromagnetic laminar dissipation flow with Arrhenius kinetics in binary reactions characterized by reaction order and variable properties within an unbounded isothermal device. In the absence of material distortion, the species mixture in the fluid is activated by factors such as internal heating, reaction order, and activation energy. The partial differentiation model is nondimensionalized to a thermofluidic dimensionless form. An invariant quasi-linear coupled ordinary differentiation model is obtained using appropriate similarity quantities. Computation solutions of the dimensionless invariant formulated derivative model are offered in plots and tabular formats to illustrate the sensitivity of critical terms. The analysis reveals that the species mixture leads to a reduction in flow velocity but an increase in binary species reaction by 0.734%. Furthermore, the activation energy and coefficient material enhance the thermic profile within the flow medium. Consequently, this study provides valuable insights for industrial development, aiding in the informed selection of working fluid properties.
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Mustafa M., Khan J. A., Hayat T., & Alsaedi A. (2017). Buoyancy effects on the MHD nanofluid flow past a vertical surface with chemical reaction and activation energy. International Journal of Heat and Mass Transfer, 108, 1340-1346.
Salawu S. O., Oderinu R. A., & Ohaegbue A. D. (2021). Current density and thermodynamic analysis of energy optimization for double exothermic reaction of magneto-Oldroyd 8-constant material. Journal of King Saud University Science, 33, 101374.
Dhlamini M., Mondal H., Sibanda P., & Motsa S. (2020). Activation energy and entropy generation in viscous nanofluid with higher order chemically reacting species. International Journal of Ambient Energy, 14, 1-13.
Hayat T., Ullah I., Waqas M., & Alsaedi A. (2019). Attributes of activation energy and exponential-based heat source in flow of Carreau fluid with cross-diffusion effects. Journal of Non-Equilibrium Thermodynamics, 49, 1-10.
Salawu S. O., & Okoya S. S. (2021). On criticality for a branched-chain thermal reactive-diffusion in a cylinder. Combustion Science and Technology, 192, 1-16.
Dawar A., & Acharya N. (2022). Unsteady mixed convective radiative nanofluid flow in the stagnation point region of a revolving sphere considering nanoparticle diameter and nanolayer effects. Journal of Indian Chemical Society, 99, 100716.
Kumar G. K., Ramesh G. K., Gireesha B. I., & Rashad A. M. (2019). On stretched magnetic flow of Carreau nanofluid with slip effects and nonlinear thermal radiation. Nonlinear Engineering, 8, 340-349.
Okedoye A. M., Salawu S. O., & Asibor E. A. (2021). A convective MHD double diffusive flow of a binary mixture through an isothermal and porous moving plate with activation energy. Computational Thermal Sciences, 13, 45-60.
Olanrewaju A. M., Salawu S. O., Olanrewaju P. O., & Amoo S. A. (2021). Unsteady radiative MHD flow and entropy generation of Maxwell nanofluid in porous media with Arrhenius chemical kinetics. Cogent Engineering, 8, 1942639.
Makinde O. D. (2005). Free convection flows with thermal radiation and mass transfer past a moving vertical porous plate. International Communications in Heat and Mass Transfer, 32, 1411-1419.
Bera T. K., Bohre A. K., Ahmed I., Bhattacharya A., & Bhowmik P. S. (2022). Magnetohydrodynamic (MHD) power generation systems. In Planning of hybrid renewable energy systems, electric vehicles and microgrid: Modeling, control and optimization (pp. 905-929). Springer Nature Singapore.
Fatunmi E. O., & Okoya S. S. (2020). Heat transfer in boundary layer magneto-micropolar fluids with temperature-dependent material properties over a stretching sheet. Advances in Materials Science and Engineering, 20, 1-11.
Reddy M. G., Kumar N., Prasannakumara B. C., Rudraswamy N. G., & Kumar K. G. (2021). Magnetohydrodynamic flow and heat transfer of a hybrid nanofluid over a rotating disk by considering Arrhenius energy. Communications in Theoretical Physics, 73, 045002.
Khan A. U., Hussain S. T., & Nadeem S. (2019). Existence and stability of heat and fluid flow in the presence of nanoparticles along a curved surface by means of dual nature solution. Applied Mathematics and Computation, 353, 66-81.
Ahmed Z., Al-Qahtani A., Nadeem S., & Saleem S. (2019). Computational study of MHD nanofluid flow possessing micro-rotational inertia over a curved surface with variable thermophysical properties. Processes, 7, 387-394.
Nadeem S., Khan M. R., & Khan A. U. (2019). MHD stagnation point flow of viscous nanofluid over a curved surface. Physica Scripta, 94, 115207.
Oyevinka T. A., Oderinu R. A., Alao S., Sanusi B. A., & Ayanbukola F. J. (2025). An analytical investigation of MHD Williamson fluid flow over an inclined stretching sheet in a porous medium with non-uniform internal heat generation and mixed convection. International Journal of Mathematical Sciences and Optimization: Theory and Applications, 11(4), 123-137.
Fatunmi E. O., Mabood F., & Adeniyan A. (2021). Stagnation-point flow of magneto-Williamson nanofluid over a stretching material with Ohmic heating and entropy analysis. International Journal of Mathematical Sciences and Optimization: Theory and Applications, 7(1), 131-145.
Adigun A. J., Fatunmi E. O., & Boneze C. U. (2022). Quadratic mixed convection tangent hyperbolic stratified fluid flow past a vertical elongated sheet with nonlinear thermal radiation: Spectral local linearization method. International Journal of Mathematical Sciences and Optimization: Theory and Applications, 8(2), 131-148.
Nmeburulo I. E., Durojaye M. O., & Aije J. I. (2023). Modelling the effects of heat and mass transfer on steady two-dimensional hydromagnetic flow over an impermeable surface. International Journal of Mathematical Sciences and Optimization: Theory and Applications, 9(2), 53-61.
Salawu S. O., & Dada M. S. (2018). Lie group analysis of Soret and Dufour effects on radiative inclined magnetic pressure-driven flow past a Darcy-Forchheimer medium. Journal of Serbian Society for Computational Mechanics, 12, 108-125.
Rahman M. M., Pop I., & Saghir M. Z. (2019). Steady free convection flow within a tilted nanofluid saturated porous cavity in the presence of a sloping magnetic field energized by an exothermic chemical reaction administered by Arrhenius kinetics. International Journal of Heat and Mass Transfer, 129, 198-211.
Khan N., Hossam A. N., Hashmi M. S., Khan S. U., & Tlili I. A. (2020). Theoretical analysis for mixed convection flow of Maxwell fluid between two infinite isothermal stretching disks with heat source/sink. Symmetry, 12, 1-18.
Nadeem S., Akhtar S., & Abbas N. (2020). Heat transfer of Maxwell base fluid flow of nanomaterial with MHD over a vertical moving surface. Alexandria Engineering Journal, 59, 1847-1856.
Salawu S. O., Disu A. B., & Dada M. S. (2020). On criticality for a generalized Couette flow of a branch-chain thermal reactive third-grade fluid with Reynolds viscosity model. Scientific World Journal, 20, 1-10.
Jawad M., Shah Z., Islam S., Majdoubi J., Tlili I., Khan W., & Khan I. (2019). Impact of nonlinear thermal radiation and viscous dissipation on unsteady three-dimensional rotating flow of single-wall carbon nanotubes with aqueous suspensions. Symmetry, 11, 207-225.
Shamshuddin M. D., Rajput G. R., Mishra S. R., & Salawu S. O. (2023). Radiative and exponentially space-based thermal generation effects on an inclined hydromagnetic aqueous nanofluid flow past thermal slippage saturated porous media. International Journal of Modern Physics B, 23, 2350202.
Waqas H., Khan S. U., Shehzad S. A., & Imran M. (2019). Radiative flow of Maxwell nanofluid containing gyrotactic microorganism and energy activation with convective Nield conditions. Heat Transfer Asian Research, 48, 1663-1687.
Acharya N., Maity S., & Kundu P. K. (2020). Differential transformed approach of unsteady chemically reactive nanofluid flow over a bidirectional stretched surface in the presence of magnetic field. Heat Transfer, 49, 3917-3942.
Azama M., Xu T., Shakoor A., & Khan M. (2020). Effects of Arrhenius activation energy in development of covalent bonding in axisymmetric flow of radiative-Cross nanofluid. International Communications in Heat and Mass Transfer, 113, 104547.
Mustafa M., Khan J. A., Hayat T., & Alsaedi A. (2017). Buoyancy effects on the MHD nanofluid flow past a vertical surface with chemical reaction and activation energy. International Journal of Heat and Mass Transfer, 108, 1340-1346.
Salawu S. O., Oderinu R. A., & Ohaegbue A. D. (2021). Current density and thermodynamic analysis of energy optimization for double exothermic reaction of magneto-Oldroyd 8-constant material. Journal of King Saud University Science, 33, 101374.
Dhlamini M., Mondal H., Sibanda P., & Motsa S. (2020). Activation energy and entropy generation in viscous nanofluid with higher order chemically reacting species. International Journal of Ambient Energy, 14, 1-13.
Hayat T., Ullah I., Waqas M., & Alsaedi A. (2019). Attributes of activation energy and exponential-based heat source in flow of Carreau fluid with cross-diffusion effects. Journal of Non-Equilibrium Thermodynamics, 49, 1-10.
Salawu S. O., & Okoya S. S. (2021). On criticality for a branched-chain thermal reactive-diffusion in a cylinder. Combustion Science and Technology, 192, 1-16.
Dawar A., & Acharya N. (2022). Unsteady mixed convective radiative nanofluid flow in the stagnation point region of a revolving sphere considering nanoparticle diameter and nanolayer effects. Journal of Indian Chemical Society, 99, 100716.
Kumar G. K., Ramesh G. K., Gireesha B. I., & Rashad A. M. (2019). On stretched magnetic flow of Carreau nanofluid with slip effects and nonlinear thermal radiation. Nonlinear Engineering, 8, 340-349.
Okedoye A. M., Salawu S. O., & Asibor E. A. (2021). A convective MHD double diffusive flow of a binary mixture through an isothermal and porous moving plate with activation energy. Computational Thermal Sciences, 13, 45-60.
Olanrewaju A. M., Salawu S. O., Olanrewaju P. O., & Amoo S. A. (2021). Unsteady radiative MHD flow and entropy generation of Maxwell nanofluid in porous media with Arrhenius chemical kinetics. Cogent Engineering, 8, 1942639.
Makinde O. D. (2005). Free convection flows with thermal radiation and mass transfer past a moving vertical porous plate. International Communications in Heat and Mass Transfer, 32, 1411-1419.
Published
2026-04-15
How to Cite
Adeniyan, A., Odunlami, S. A., & Fatumbi, E. O. (2026). Dissipative Hydromagnetic Flow of an Arrhenius Fluid with Variable Properties under No-Slip Boundary Conditions. International Journal of Mathematical Sciences and Optimization: Theory and Applications, 12(1), 91 - 103. https://doi.org/10.5281/zenodo.20467141
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