Modeling and Simulation of Radiative MHD Casson-Type Polymer Composite Flow over a Porous Wedge with Variable Thermal Source and Sink

Year : 2026 | Volume : 14 | Special Issue 01 | Page : 837 850
    By

    B. Tulsi Lakshmi Devi,

  • Alfunsa Prathiba,

  • V.V.L. Deepthi,

  • Sridevi Dandu,

  1. Associate Professor, Department of Mathematics, Koneru Lakshmaiah Education Foundation, Hyderabad, Telangana, India
  2. Associate Professor, Department of Humanities and Sciences (Mathematics), CVR College of Engineering, Mangalpally, Ibrahimpatnam, Hyderabad, Telangana, India
  3. Sr. Assistant Professor, Department of Humanities and Sciences (Mathematics), CVR College of Engineering, Mangalpally, Ibrahimpatnam, Hyderabad, Telangana, India
  4. Assistant Professor, Department of Engineering Mathematics & Humanities, S.R.K.R. Engineering College, Bhimavaram, West Godavari District, Andhra Pradesh, India

Abstract

This study presents a numerical investigation of the radiative magnetohydrodynamic (MHD) flow and heat transfer characteristics of a Casson-type polymer fluid over a moving and extending porous wedge under the influence of a spatially varying heat source and sink. The Casson fluid model, representing a class of viscoplastic polymeric materials, is analyzed within the MHD framework to explore the combined effects of magnetic field intensity, rheological behavior, and porous medium interaction on the transport characteristics. The governing nonlinear momentum and energy equations are transformed into a system of ordinary differential equations through similarity transformations and solved using the Runge–Kutta fourth-order method coupled with a shooting technique. The influence of key dimensionless parameters—including the magnetic parameter, Casson number, variable heat generation rate, and stretching velocity—on the velocity and temperature distributions is examined in detail. The results reveal that the magnetic field and Casson parameter significantly modify the boundary layer thickness and enhance heat transfer control. This investigation provides valuable insights into the thermo-rheological performance of MHD Casson polymer fluids in porous composite systems, with potential applications in polymer extrusion, composite material processing, and electronic cooling technologies.

Keywords: Casson polymer fluid, MHD, porous wedge, radiative heat transfer, variable heat generation, polymer composites, numerical simulation.

[This article belongs to Special Issue under section in Journal of Polymer & Composites (jopc)]

aWQ6MjMzNDEzfGZpbGVuYW1lOjliOTY4ZmYzLWZpLmF2aWZ8c2l6ZTp0aHVtYm5haWw=
How to cite this article:
B. Tulsi Lakshmi Devi, Alfunsa Prathiba, V.V.L. Deepthi, Sridevi Dandu. Modeling and Simulation of Radiative MHD Casson-Type Polymer Composite Flow over a Porous Wedge with Variable Thermal Source and Sink. Journal of Polymer & Composites. 2025; 14(01):837-850.
How to cite this URL:
B. Tulsi Lakshmi Devi, Alfunsa Prathiba, V.V.L. Deepthi, Sridevi Dandu. Modeling and Simulation of Radiative MHD Casson-Type Polymer Composite Flow over a Porous Wedge with Variable Thermal Source and Sink. Journal of Polymer & Composites. 2025; 14(01):837-850. Available from: https://journals.stmjournals.com/jopc/article=2025/view=233426


References

  1. Nagendramma V, Sreelakshmi K, and Sarojamma G, “MHD Heat and Mass Transfer Flow over a Stretching Wedge with Convective Boundary Condition and Thermophoresis,” Procedia Eng., vol. 127, pp. 963–969, 2015, doi: 10.1016/j.proeng.2015.11.444.
  2. Ibrahim and A. Tulu, “Magnetohydrodynamic (MHD) Boundary Layer Flow Past a Wedge with Heat Transfer and Viscous Effects of Nanofluid Embedded in Porous Media,” Math. Probl. Eng., vol. 2019, no. 1, Jan. 2019, doi: 10.1155/2019/4507852.
  3. A. Yih, “MHD forced convection flow adjacent to a non-isothermal wedge,” Int. Commun. Heat Mass Transf., vol. 26, no. 6, pp. 819–827, Aug. 1999, doi: 10.1016/S0735-1933(99)00070-6.
  4. M. Falkneb and S. W. Skan, “Some approximate solutions of boundary layer equations,” Philos. Mag. J. Sci., vol. 12, no. 80, pp. 865–896, Nov. 1931, doi: 10.1080/14786443109461870.
  5. R. Hartree, “On an equation occurring in Falkner and Skan’s approximate treatment of the equations of the boundary layer,” Math. Proc. Cambridge Philos. Soc., vol. 33, no. 2, pp. 223–239, Apr. 1937, doi: 10.1017/s0305004100019575.
  6. S. Goud, y. D. Reddy, and adnan, “numerical investigation of the dynamics of magnetized casson fluid flow over a permeable wedge subject to dissipation and thermal radiations,” Surf. Rev. Lett., vol. 31, no. 07, Jul. 2024, doi: 10.1142/S0218625X24500549.
  7. Shiva Rao and P. Deka, “a numerical study on heat transfer for mhd flow of radiative casson nanofluid over a porous stretching sheet,” Am. Appl. Res. – An Int. J., vol. 53, no. 2, pp. 129–136, Feb. 2023, doi: 10.52292/j.laar.2023.950.
  8. Sulochana and M. Poornima, “Unsteady MHD Casson fluid flow through vertical plate in the presence of Hall current,” SN Appl. Sci., vol. 1, no. 12, p. 1626, Dec. 2019, doi: 10.1007/s42452-019-1656-0.
  9. U. Haq et al., “Author Correction: Numerical aspects of thermo migrated radiative nanofluid flow towards a moving wedge with combined magnetic force and porous medium,” Sci. Rep., vol. 12, no. 1, p. 12034, Jul. 2022, doi: 10.1038/s41598-022-16367-0.
  10. T. Alkasasbeh, “Numerical solution on heat transfer magnetohydrodynamic flow of micropolar casson fluid over a horizontal circular cylinder with thermal radiation,” Front. Heat Mass Transf., vol. 10, Apr. 2018, doi: 10.5098/hmt.10.32.
  11. Durgaprasad, S. V. K. Varma, M. M. Hoque, and C. S. K. Raju, “Combined effects of Brownian motion and thermophoresis parameters on three-dimensional (3D) Casson nanofluid flow across the porous layers slendering sheet in a suspension of graphene nanoparticles,” Neural Comput. Appl., vol. 31, no. 10, pp. 6275–6286, Oct. 2019, doi: 10.1007/s00521-018-3451-z.
  12. Anantha Kumar, V. Sugunamma, and N. Sandeep, “Effect of thermal radiation on MHD Casson fluid flow over an exponentially stretching curved sheet,” J. Therm. Anal. Calorim., vol. 140, no. 5, pp. 2377–2385, Jun. 2020, doi: 10.1007/s10973-019-08977-0.
  13. G. Reddy, “Thermal radiation and chemical reaction effects on MHD mixed convective boundary layer slip flow in a porous medium with heat source and Ohmic heating,” Eur. Phys. J. Plus, vol. 129, no. 3, pp. 1–17, 2014, doi: 10.1140/epjp/i2014-14041-3.
  14. I. Khan, M. Waqas, T. Hayat, and A. Alsaedi, “A comparative study of Casson fluid with homogeneous-heterogeneous reactions,” J. Colloid Interface Sci., vol. 498, pp. 85–90, 2017, doi: 10.1016/j.jcis.2017.03.024.
  15. Alghamdi et al., “Boundary layer stagnation point flow of the Casson hybrid nanofluid over an unsteady stretching surface,” AIP Adv., vol. 11, no. 1, 2021, doi: 10.1063/5.0036232.
  16. Zahir, “Magnetohydrodynamic CNTs Casson Nanofluid and Radiative heat transfer in a Rotating Channels,” J. Phys. Res. Appl., vol. 1, no. 1, pp. 017–032, 2018, doi: 10.29328/journal.jpra.1001002.
  17. M. Mousavi, M. N. Rostami, M. Yousefi, S. Dinarvand, I. Pop, and M. A. Sheremet, “Dual solutions for Casson hybrid nanofluid flow due to a stretching/shrinking sheet: A new combination of theoretical and experimental models,” Chinese J. Phys., vol. 71, pp. 574–588, Jun. 2021, doi: 10.1016/J.CJPH.2021.04.004.
  18. Prathiba and A. V. Lakshimi, “Exploration of the Internal Energy Effect on 3D-Casson Fluid Embedded by Porous Media over A Rotating Sheet,” European Journal of Mathematics and Statistics, vol. 3, no. 3, pp. 1–12, 2022, doi: http://dx.doi.org/10.24018/ejmath.2022.3.3.111.
  19. Amar and N. Kishan, “The influence of radiation on MHD boundary layer flow past a nano fluid wedge embedded in porous media,” Partial Differ. Equations Appl. Math., vol. 4, p. 100082, Dec. 2021, doi: 10.1016/j.padiff.2021.100082.
  20. Revathi, M.S. Upadhya, K. Raghunath, Yadav, D., Kommaddi, H., & Jayachandra Babu, M., Influence of cross-diffusion, couple stress, and non-Fourier heat flux on Jeffrey hybrid nanofluid flow and entropy generation in a vertical cylinder. Phase Transitions, 2025, 1–22. https://doi.org/10.1080/01411594.2025.2536187
  21. Jyothi, B. Venkateswarlu, P. Chandra Reddy, K. Raghunath, A. Damodara Reddy, Neural network-driven analysis of MHD boundary layer flow and heat transfer in Sisko nanofluids. Multiscale and Multidiscip. Model. Exp. and Des. 8, 291 (2025). https://doi.org/10.1007/s41939-025-00877-1
  22. S. Bin Zafar, A. Zaib, F. Ali, K. Raghunath, Nehad Ali Sh, Computational analysis of Lorentz force on Prandtl two phase nanomaterial involving microorganism due to stretching Cylinder. Z Angew Math Mech. 105, e70076 (2025). https://doi.org/10.1002/zamm.70076
  23. Katikala N. V. Ch Bhargava, Shaik Mohammed Ibrahim, Raghunath Kodi, Effects of hall current, radiation absorption and diffusion thermo on an unsteady MHD flow of second grade fluid through porous media in the presence of joule heating and viscous dissipation. Multiscale and Multidiscip. Model. Exp. and Des. 8, 260 (2025). https://doi.org/10.1007/s41939-025-00842-y
  24. Lavanya, J. Girish Kumar, K. Raghunath, Y. Rameswara Reddy, M. Jayachandra Babu, A comprehensive study of Carreau nanofluid flow over an inclined vertical plate with Cattaneo-Christov heat flux: numerical simulation and statistical analysis. Radiation Effects and Defects in Solids, 2025, 1–18. https://doi.org/10.1080/10420150.2025.2484722
  25. Amjad Ali Pasha, Mohammed K. Al Mesfer, M.W Kareem, K. Raghunath, M. Danish, S. Patil, V. Ramachandra Reddy, Effects of rotational forces, and thermal diffusion on unsteady magnetohydrodynamic (MHD) flow of a viscoelastic fluid through porous media with isothermal inclined plates, Case Studies in Thermal Engineering, Volume 69, 2025, 105977. https://doi.org/10.1016/j.csite.2025.105977.
  26. Ramachandra Reddy, K. Raghunath, P. Imran Khan, K. Sudhakaru, Thermo-physical and aligned magnetic field effects on unsteady MHD convection in Casson fluids over isothermal inclined plates in the presence of joule heating and viscous dissipation, Thermal Advances, Volume 3, 2025, 100030. https://doi.org/10.1016/j.thradv.2025.100030.
  27. Hussain, V.V.L. Deepthi, V. Omeshwar Reddy, K. Raghunath, L. Giulio, Thermo physical aspects of three dimensional non-newtonian Fe3O4/Al2O3 water based hybrid nanofluid with rotational flow over a stretched plate. International Journal of Heat and Technology, Vol. 43, No. 1, 2025, pp. 67-75. https://doi.org/10.18280/ijht.430108
  28. Valiveti, M. Jetti, M. R. Yallalla, R. Kodi, and G. Lorenzini, “Analysis of heat and mass transfer in unsteady magnetohydrodynamic MHD Casson fluid flow over isothermal inclined plates with thermal diffusion and heat source effects,” Power Eng. Eng. Thermophys., vol. 3, no. 3, pp. 195–208, 2024. https://doi.org/10.56578/peet030305
  29. R. Prasad, N.U.B. Varma, B. Jamuna, M.S. Suresh, K. Sudhakaru, K. Raghunath, Effects of hall current and thermal diffusion on unsteady MHD rotating flow of water based Cu, and TiO2 nanofluid in the presence of thermal radiation and chemical reaction. Multiscale and Multidiscip. Model. Exp. and Des. 8, 161 (2025). https://doi.org/10.1007/s41939-025-00736-z
  30. Jyothi, A. Sailakumari, V. Ramachandra reddy, K. Raghunath, Neural network-assisted analysis of MHD boundary layer flow and thermal radiation effects on SWCNT nanofluids with Maxwellian and non-Maxwellian models. Multiscale and Multidiscip. Model. Exp. and Des. 8, 155 (2025). https://doi.org/10.1007/s41939-025-00752-z
  31. N.V.C. Bhargava, S.M. Ibrahim, K. Raghunath, Magneto-hydrodynamic mixed convection chemically rotating and radiating 3D hybrid nanofluid flow through porous media over a stretched surface. Mathematical Modelling and Numerical Simulation with Applications, 4(4), 2024, 495-513. https://doi.org/10.53391/mmnsa.1438636
Special Issue Subscription Original Research
Volume 14
Special Issue 01
Received 06/11/2025
Accepted 14/11/2025
Published 04/12/2025
Publication Time 28 Days
215

Login


My IP

PlumX Metrics