Discontinuity, Nonlinearity, and Complexity 15(2) (2026) 145--155 | DOI:10.5890/DNC.2026.06.001

S. Rama Mohan$^{1}$, N. Maheshbabu$^{2}$, M. Eswara Rao$^{3}$, L. Ramamohan Reddy$^{4}$, B. Ramana$^{5}$

$^{1}$ Department of Mathematics, PACE Institute of Technology & Sciences (Autonomous), Ongole-523272. A.P., India

$^{2}$ Department of Mathematics, Dr.S.R.K. Govt Arts College, Yanam-533464.U.T. of Puducherry, India

$^{3}$ Department of Mathematics, Saveetha School of Engineering, SIMATS, Chennai,Tamil Nadu, India

$^{4}$ Department of Mathematics, Rajiv Gandhi University Of Knowledge Technologies, Ongole-523225. A.P., India

$^{5}$ Department of Mathematics, QIS College of Engineering & Technology (Autonomous), Andhra Pradesh, India

Abstract

This study explores the analytical solution for magneto-hydrodynamic (MHD) free convection flow in an unsteady state occurring between two inclined plates. It takes into account factors such as buoyancy forces, an aligned magnetic field, thermal radiation, chemical reactions, and radiation absorption. By implementing the Analytical Perturbation Method, the analysis yields expressions for velocity, temperature, and concentration profiles, highlighting the interactions among magnetic fields, gravitational forces, and thermal radiation. The findings illustrate notable impacts on flow characteristics and thermal behavior, which {is} subsequently examined through graphical representations. Additionally, calculations yield tabulated data on heat transfer rates (Nusselt number) and mass transfer rates (Sherwood number).

References

1. [1]	Dharmaiah, G., Chamkha, A., Vedavathi, N., and Balamurugan, K.S. (2018), Viscous dissipation effect on transient aligned magnetic free convective flow past an inclined moving plate, Frontiers in Heat and Mass Transfer, 12, 1-10.

2. [2]	Khan, D., Khan, A., Khan, I., Ali, F., Karim, F.U., and Tlili, I. (2019), Effects of relative magnetic field, chemical reaction, heat generation and Newtonian heating on convection flow of Casson fluid over a moving vertical plate embedded in a porous medium, Scientific Reports, 9(1), 400.

3. [3]	Mahato, R. and Das, M. (2020), Effect of suction/blowing on heat-absorbing unsteady radiative Casson fluid past a semi-infinite flat plate with conjugate heating and inclined magnetic field, Pramana, 94(1), 127.

4. [4]	Endalew, M.F. and Sarkar, S. (2021), Incidences of aligned magnetic field on unsteady MHD flow past a parabolic accelerated inclined plate in a porous medium, Heat Transfer, 50(6), 5865-5884.

5. [5]

   Mopuri, O., Kodi, R., Ganteda, C., Srikakulapu, R., and Lorenzini, G. (2022), MHD heat and mass transfer steady flow of a convective fluid through a porous plate in the presence of diffusion thermo and aligned magnetic field, Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, 89(1), 62-76.

6. [6]	Bilal, M. and Nazeer, M. (2021), Numerical analysis for the non-Newtonian flow over stratified stretching/shrinking inclined sheet with the aligned magnetic field and nonlinear convection, Archive of Applied Mechanics, 91(3), 949-964.

7. [7]	Mburu, Z.M., Mondal, S., and Sibanda, P. (2021), Numerical study on combined thermal radiation and magnetic field effects on entropy generation in unsteady fluid flow past an inclined cylinder, Journal of Computational Design and Engineering, 8(1), 149-169.

8. [8]	Das, N.A.B.A.N.I.T.A., Sarma, S., and Ahmed, N. (2023), Thermal diffusion and thermal radiation effects on unsteady MHD convective flow past an inclined vertical plate, Latin American Applied Research – An International Journal, 53(4), 341-348.

9. [9]	Pal, D. and Talukdar, B. (2012), Influence of fluctuating thermal and mass diffusion on unsteady MHD buoyancy-driven convection past a vertical surface with chemical reaction and Soret effects, Communications in Nonlinear Science and Numerical Simulation, 17(4), 1597-1614.

10. [10]	Jones, E., Pravin Brijgopal, M., Rohan Ravindra, K., and Sandeep, N. (2015), Aligned magnetic field, radiation and chemical reaction effects on MHD boundary layer flow over a moving vertical porous plate, Chemical and Process Engineering Research, 31(1), 89-103.

11. [11]

    Mohan, S.R., Reddy, G.V., and Varma, S.V.K. (2019), Soret and aligned magnetic field effects on an unsteady MHD free convection Casson fluid flow past an exponentially infinite vertical plate through porous medium in the presence of thermal radiation, chemical reaction and heat source or sink, Advanced Science, Engineering and Medicine, 11(5), 336-345.

12. [12]	Goyal, M. and Kumari, K. (2013), Heat and mass transfer in MHD oscillatory flow between two inclined porous plates with radiation absorption and chemical reaction, International Journal of Scientific Research, 4, 2862-2868.

13. [13]	Sharma, P.K., Sharma, B.K., and Kumar, A. (2024), Mathematical analysis of chemically reacting species and radiation effects on MHD free convective flow through a rotating porous medium, Acta Mechanica et Automatica, 18(2).

14. [14]	Honnappa, G.Y., Narayanappa, M., Udhayakumar, R., Almarri, B., Elshenhab, A.M., and Honnappa, N. (2023), Darcy–Brinkman double diffusive convection in an anisotropic porous layer with gravity fluctuation and throughflow, Mathematics, 11(6), 1287.

15. [15]	Murali, G., Paul, A., and Babu, N.V.N. (2015), Heat and mass transfer effects on an unsteady hydromagnetic free convective flow over an infinite vertical plate embedded in a porous medium with heat absorption, International Journal of Open Problems in Computational Mathematics, 8(1), 1-12.