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Journal of Applied Nonlinear Dynamics 15(2) (2026) 375--385 | DOI:10.5890/JAND.2026.06.009

S. Rama Mohan$^1$, N.Maheshbabu$^{2}$, L. Ramamohan Reddy$^{3}$, B. Ramana$^{4}$, K. Vasudevan$^{5}$,\\ G. Murali$^{6}$

$^{1}$ 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, Rajive Gandhi University of Knowledge Technology, Ongole-523225, A.P., India $^{4}$ Department of Mathematics, QIS College of Engineering & Technology (Autonomous),Ongole-523225, A.P., India

$^{5}$ Department of Electrical Engineering, Parul University, Vadodara, Gujarat (India)

$^{6}$ Department of Mathematics, Geethanjali College of Engineering and Technology, Cheeryal-50130, T.G, India

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Abstract

This study investigates the influence of buoyancy force on an unsteady magneto hydrodynamic (MHD) free convection flow oscillating between two inclined plates. The flow is subjected to thermal radiation, chemical reactions, and radiation absorption. The governing equations for the flow, heat, and mass transfer are derived and solved using the perturbation technique and appropriate given boundary conditions. The effects of various physical parameters, such as magnetic field strength, chemical reaction rate, radiation absorption, and plate inclination, on the velocity, temperature, and concentration profiles are analyzed. The results show how buoyancy force significantly influences the flow characteristics and temperature distribution, particularly in the presence of external magnetic fields and thermal radiation. are then graphically examined. Moreover, calculations are made and tabulated data on the rates of heat transmission (Nusselt number) and mass transfer (Sherwood number).

References

1. [1]	Chamkha, A.J. and Rashad, A.M. (2014), Unsteady heat and mass transfer by MHD mixed-convection flow from a rotating vertical cone with chemical reaction and Soret and Dufour effects, The Canadian Journal of Chemical Engineering, 92(4), 758-767.

2. [2]	Hayat, T., Imtiaz, M., and Alsaedi, A. (2015), MHD 3-D flow of nanofluid in presence of convective conditions, Journal of Molecular Liquids, 212, 203-208.

3. [3]	Makinde, O.D., Mabood, F., Khan, W.A., and Tshehla, M.S. (2016), MHD flow of a variable-viscosity nanofluid over a radially stretching convective surface with radiative heat, Journal of Molecular Liquids, 219, 624-630.

4. [4]	Ganesh Kumar, K., Gireesha, B.J., and Gorla, R.S.R. (2018), Flow and heat transfer of dusty hyperbolic-tangent fluid over a stretching sheet in the presence of thermal radiation and magnetic field, International Journal of Mechanical and Materials Engineering, 13, 1-11.

5. [5]	Koriko, O.K., Animasaun, I.L., Omowaye, A.J., and Oreyeni, T. (2019), The combined influence of nonlinear thermal radiation and thermal stratification on the dynamics of micropolar fluid along a vertical surface, Multidiscipline Modeling in Materials and Structures, 15(1), 133-155.

6. [6]	Faizal, N.F.A., Ariffin, N.M., Rahim, Y.F., Hafidzuddin, M.E.H., and Wahi, N. (2020), MHD and slip effect in micropolar hybrid nanofluid and heat transfer over a stretching sheet with thermal radiation and non-uniform heat source/sink, CFD Letters, 12(11), 121-130.

7. [7]	Gopal, D., Saleem, S., Jagadha, S., Ahmad, F., Almatroud, A.O., and Kishan, N. (2021), Numerical analysis of higher-order chemical reaction on electrically conducting MHD nanofluid under the influence of viscous dissipation, Alexandria Engineering Journal, 60(1), 1861-1871.

8. [8]	Lv, Y.P., Shaheen, N., Ramzan, M., Mursaleen, M., Nisar, K.S., and Malik, M.Y. (2021), Chemical reaction and thermal radiation impact on a nanofluid flow in a rotating channel with Hall current, Scientific Reports, 11(1), 19747.

9. [9]	Goud, B.S., Reddy, Y.D., and Asogwa, K.K. (2023), Chemical reaction, Soret and Dufour impacts on magnetohydrodynamic heat transfer Casson fluid over an exponentially permeable stretching surface with slip effects, International Journal of Modern Physics B, 37(13), 2350124.

10. [10]	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.

11. [11]	Agrawal, R., Saini, S.K., and Kaswan, P. (2023), Numerical modelling of MHD micropolar fluid flow and melting heat transfer under thermal radiation and Joule heating, International Journal for Computational Methods in Engineering Science and Mechanics, 24(2), 143-154.

12. [12]	Cui, J., Azam, F., Farooq, U., and Hussain, M. (2023), Non-similar thermal transport analysis in entropy-optimized magnetic nanofluids flow by considering effective Prandtl number model with melting heat transfer and Joule heating, Journal of Magnetism and Magnetic Materials, 567, 170331.

13. [13]	Sun, Z., Luo, K., Yi, H., and Wu, J. (2023), Experimental study on the melting heat transfer of octadecane with passively adding graphene and actively applying an electric field, International Journal of Heat and Mass Transfer, 204, 123845.

14. [14]	Samantaray, S.S., Azam, M., Abbas, N., Misra, A., and Nayak, M.K. (2024), Impact of Cattaneo–Christov double diffusion theory and Arrhenius pre-exponential factor law on flow of radiative Reiner–Rivlin nanofluid over rotating disk, International Journal of Modern Physics B, 38(7), 2450102.

15. [15]	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.

16. [16]

    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.

17. [17]	Reddy, S. and Gaffar, S.A. (2022), Chemical reaction and viscous dissipative effects on Buongiorno's nanofluid model past an inclined plane, Journal of Applied Fluid Mechanics, 15(3), 885-897.

18. [18]	Ramar, A., Arulmozhi, A., Balamuralitharan, S., Khan, I., Hajjej, F., Khuthaylah, M.A., and Singh, A. (2024), Melting heat effect in MHD flow of Maxwell fluid with zero mass flux, Case Studies in Thermal Engineering, 53, 103910.