ANALYSIS OF TRANSIENT RADIATIVE MHD BIOCONVECTION FLOW OF Fe₃O₄–MOS₂ HYBRID NANOFLUID OVER A RAMPED INCLINED OSCILLATING PLATE IN A ROTATING POROUS MEDIUM WITH MASS TRANSFER

Authors:

Prabakaran V.,S. Senthamilselvi,

DOI NO:

https://doi.org/10.26782/jmcms.2026.08.00009

Keywords:

Hybrid nanofluid; Bioconvection; porous medium; Thermal radiation; Oscillating plate; Crank Nicolson.,

Abstract

The transient radiative magnetohydrodynamic bioconvective flow of an Fe₃O₄-MoS₂ hybrid nanofluid over a ramped, inclined, oscillating plate in a rotating porous medium is investigated numerically in this work. The model mathematically integrates the effects of heat and mass transfer, thermal radiation, rotation, porous permeability, and motile microbes. Using appropriate similarity transformations, governing equations for momentum, temperature, nanoparticle concentration, or microbe density are converted into the non-dimensional equations. The coupled system is then solved using the Crank-Nicolson finite-difference approach. The impact of several significant parameters, including Peclet number, magnetic parameter, bioconvection Lewis number, or radiation parameter, on the flow characteristics is investigated numerically. This establishes that fluid velocity increases as the Peclet number increases, but with higher bioconvection values. The Lewis number reduces the velocity profile. Temperature as well as concentration profiles Radiation and diffusion parameters significantly impact temperature and concentration profiles. by radiation and diffusion parameters.

Refference:

I. Aboel-Magd, Y., Basem, A., Farooq, U., Fatima, N., Noreen, S., Waqas, H., Iftikhar, M. (2024). “Computational modeling of thermal radiation and activation energy effects in Casson nanofluid flow with bioconvection and microorganisms over a disk.” International Journal of Thermofluids, 23, 100735. 10.1016/j.ijft.2024.100735
II. Asaigeethan, P., Loganathan, K., Karthik, V., Priyadharshini, D., & Arunachalam, K. P. (2025). “Microbiologically Induced Bioconvection Over a Convectively Heated Rotating Frame: A Computational Model of the Blood-Based MHD Casson Hybrid Nanofluid Flow.” International Journal of Thermofluids, 101368.10.1016/j.ijft.2025.101368.
III. Almarashi, A. M., Algarni, A., Rooman, M., Shah, Z., & Garalleh, H. A. (2024). “Entropy generation and heat transfer analysis of unsteady micropolar magnetized hybrid-nanofluid flow over a radially stretchable permeable rotating disk with viscous and joule dissipation effects.” International Journal of Thermofluids, 23, 100802. 10.1016/j.ijft.2024.100802.
IV. Bijjula Prabhakar Ready and Oluwole D Makinde "Radiating and reacting unsteady MHD free Convection boundary layer flow past an oscillating vertical plate in a porous medium with Newtonian heating." International Journal of Applied Mechanics and Engineering, vol. 27(1), pp.168-187, 10.2478/ijame-2022-0011.
V. Choudhary, P., Loganathan, K., Jat, K., Sharma, K., & Eswaramoorthi, S. (2025). “Shape factor analysis of water and aluminium oxide nanoparticles in a porous medium with slip effects.” Chemical Physics Impact, 10, 100882.10.1016/j.chphi.2025.100882
VI. Choudhary, P., Choudhary, S., Jat, K., Loganathan, K., & Eswaramoorthi, S. (2024).”Impacts of unsteady MHD hybrid nanofluid over a non-linear stretchable porous sheet with thermal radiation and gyrotatic microorganisms.” International Journal of Thermofluids, 23, 100788.
VII. 10.1016/j.ijft.2024.100788.
VIII. Choudhary, S., Kumar Jarwal, V., Choudhary, P., Loganathan, K., & Pattanaik, B. (2024). “Mass‐Based Hybrid Nanofluid Model for Thermal Radiation Analysis of MHD Flow over a Wedge Embedded in Porous Medium.” Journal of Engineering, 2024(1), 9528362.
IX. 10.1155/2024/9528362.
X. Choudhary, R., Parmar, A., Kumar, P., & Al-Mdallal, Q. (2025). “Buoyancy effects on Falkner-Skan Maxwellian nanofluid flow with bioconvection over a melting wedge.” International Journal of Thermofluids, 26, 101136.
XI. 10.1016/j.ijft.2025.101136.
XII. Choudhary, P., Choudhary, S., Jat, K., Loganathan, K., & Eswaramoorthi, S. (2024). “Significance of melting heat transfer and bioconvection phenomena in nanofluid flow over three different geometries.” International Journal of Thermofluids, 24, 100855.
XIII. 10.1016/j.ijft.2024.100855
XIV. Choudhary, P., Loganathan, K., Jat, K., Arunachalam, K. P., & Eswaramoorthi, S. (2025). “Thermal and velocity slip impacts on MHD tetra-hybrid nanofluids flow over a porous stretching surface.” Discover Applied Sciences, 7(7), 720. 10.1007/s42452-025-07359-6.
XV. Kavitha, S., and Ayothi Selvaraj. (2024). “Rotation and Dufour Impact on Unsteady Flow Past a Parabolic Accelerated Vertical Plate with Uniform Temperature and Mass Diffusion.” Indian Journal of Science and Technology 17 (24): 2482–2493. 10.17485/IJST/v17i24.1422
XVI. Lakshmikaanth, D., Selvaraj, A., Selvaraju, P., & Jose, S. D. (2023). “Hall and heat source effects of flow past a parabolic accelerated isothermal vertical plate in the presence of chemical reaction and radiation.” JP Journal of Heat and Mass Transfer, 34, 105-126.
XVII. 10.17654/0973576323035
XVIII. Lakshmikaanth, D., Selvaraj, A., Tamilselvi, L., Jose, S. D., & Velukumar, V. (2024). “Hall and heat source effects of flow state on a vertically accelerating plate in an isothermal environment, including chemical reactions, rotation, radiation, and the Dufour effect.” JP Journal of Heat and Mass Transfer, 37(4), 491-520. 10.17654/0973576324034.
XIX. Prabhakar Reddy, B., & Makinde, O. D. (2022). “Numerical study on MHD radiating and reacting unsteady slip flow past a vertical permeable plate in a porous medium.” International Journal of Ambient Energy, 43(1), 6007-6016.10.1080/01430750.2021.1999323.
XX. Prabhakar Reddy B, Simba M. H, and Alfred Hugo. "Effects of thermo-diffusion and chemical reaction on MHD radiated unsteady flow past an exponentially accelerated inclined permeable plate embedded in a porous medium. “International Journal of Chemical Engineering, 10.1155/2023/9342174
XXI. Prakash, J., Selvaraj, A., Ragupathi, P., Al-Mdallal, Q. M., & Saranya, S (2025). “Thermal and radiative effects on unsteady MHD flow of Casson fluid past a rotating porous medium with variable mass diffusion.” Case Studies in Thermal Engineering, 68, 105865.
XXII. 10.1016/j.csite.2025.105865.
XXIII. Radha, Ganesan, Ayothi Selvaraj, Neel Armstrong Abraham, Sundar Rajan Deepa, Mani Lakshmi, and Devi Lakshmikaanth (2025). “First Order Chemical Reaction Effects on Unsteady MHD Casson Fluid Flow Past a Parabolic Accelerated Vertical Plate with Uniform Mass Diffusion and Variable Temperature in the Presence of Thermal Radiation.” Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 133 (1): 24–36. 10.37934/arfmts.133.1.2436
XXIV. Rajakumar, K.V.B., K.S. Balamurugan, M. Umasankara Reddy, and Ch. V. Ramana Murthy(2018). “Radiation, Dissipation and Dufour Effects on MHD Free Convection Casson Fluid Flow through a Vertical Oscillatory Porous Plate with Ion-Slip Current.” International Journal of Heat and Technology 36 494–508. 10.18280/ijht.360214.
XXV. Rajakumar, K. V. B., Govinda Rao, T., Umasankara Reddy, M., & Balamurugan, K. S. (2020). “Influence of Dufour and thermal radiation on unsteady MHD Walter’s liquid model-B flow past an impulsively started infinite vertical plate embedded in a porous medium with chemical reaction, Hall and ion slip current.” SN Applied Sciences, 2(4), 742.
XXVI. 10.1007/s42452-020-2484-y
XXVII. Rao, Shiva, and P. N. Deka.(2024) “Numerical Analysis of MHD Hybrid Nanofluid Flow a Porous Stretching Sheet with Thermal Radiation.” International Journal of Applied and Computational Mathematics, 10(3). 10.1007/s40819-024-01734-4.
XXVIII. Raju, R., Selvaraj, A., Jose, S. D., & Chithra, K. (2025). “Effects of radiation and heat generation on MHD Casson fluid flowing in a porous medium rotating on an inclined oscillating vertical plate.” JP Journal of Heat and Mass Transfer, 38(3), 315-339. 10.17654/0973576325016
XXIX. Reddy, B. P. (2020). “THERMO—diffusion and HALL effect on radiating and reacting MHD convective heat absorbing fluid past an exponentially accelerated vertical porous plate with ramped temperature.” Journal of the Serbian Society for Computational Mechanics, 14(1), 12-28.
XXX. 10.24874/jsscm. 2020.14.01.02
XXXI. Radha, Ganesan, Ayothi Selvaraj, Soundararajan Bhavani, and Periasamy Selvaraju, Magneto Hydrodynamic Effects on Unsteady Free Convection Casson Fluid Flow Past on Parabolic Accelerated Vertical Plate with Thermal Diffusion, Journal of Advanced Research in Fluid Mechanics and Thermal Sciences. 116(1) (2024) 184-200. 10.37934/arfmts.116.1.184200
XXXII. Selvaraj, A., and E. Jothi(2021). “Heat Source Impact on MHD and Radiation Absorption Fluid Flow Past an Exponentially Accelerated Vertical Plate with Exponentially Variable Temperature and Mass Diffusion through a Porous Medium.”Materials Today: Proceedings 46 (2021): 3490–94. 10.1016/j.matpr.2020.11.919
XXXIII. Selvaraj, A., Aruna, M., Deepa, S., Dilip Jose, S., Dhas, S. S. J., & Alotaibi, M. T. (2025). “Harnessing of potential Hall and Dufour Effects on MHD flow over a parabolically accelerated vertical plate.” ZAMM‐Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte Mathematik und Mechanik, 105(11), e70288. 10.1002/zamm. 70288.
XXXIV. Sebastian, Dilip Jose, Mercy S. Fayemi, and Ayothi Selvaraj. 2024. “Unravelling the Complexities of Thermal Radiation and Rotational Dynamics in Parabolic Flow: A Perspective.” JP Journal of Heat and Mass Transfer
XXXV. Vijayaragavan, R., M. Ramesh, and S. Karthikeyan, Heat and Mass Transfer Investigation on MHD Casson Fluid Flow past an Inclined Porous Plate in the Effects of Dufour and Chemical Reaction, Journal of Xi’an University of Architecture and Technology. 13 (2021) 860-873. 10.37896/JXAT13.6/31183

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