Comparative Study of Mixed Convection Effects on MHD Casson Dusty Two-Phase Flow over a Stretching Sheet

References

[1] Reddy Gorla, R. S., & Sidawi, I. (1994). Free convection on a vertical stretching surface with suction and blowing. Applied scientific research, 52(3), 247-257.

[2] Chamkha, A. J. (1997). Non-Darcy fully developed mixed convection in a porous medium channel with heat generation/absorption and hydromagnetic effects. Numerical Heat Transfer, Part A Applications, 32(6), 653-675.

[3] Hayat, T., Abbas, Z., Pop, I., & Asghar, S. (2010). Effects of radiation and magnetic field on the mixed convection stagnation-point flow over a vertical stretching sheet in a porous medium. International Journal of Heat and Mass Transfer, 53(1-3), 466-474.

[4] Das, K. (2013). Mixed convection stagnation point flow and heat transfer of Cu‐water nanofluids towards a shrinking sheet. Heat Transfer—Asian Research, 42(3), 230-242.

[5] Islam, S., Khan, A., Kumam, P., Alrabaiah, H., Shah, Z., Khan, W., ... & Jawad, M. (2020). Radiative mixed convection flow of maxwell nanofluid over a stretching cylinder with joule heating and heat source/sink effects. Scientific reports, 10(1), 17823.

[6] Tulu, A., Hirpho, M., & Sohail, M. (2024). Modeling and simulation of mixed convection flow with viscous dissipation in a lid-driven hexagonal cavity using finite element method. International Journal of Thermofluids, 22, 100702.

[7] Al-Kaby, R. N., Abdulhaleem, S. M., Hameed, R. H., & Yasiry, A. (2025). Mixed convection heat transfer and fluid flow of nanofluid/porous medium under magnetic field influence. Applied Sciences, 15(3), 1087.

[8] Znaidia, S., Rehman, S., Drissi, N., Asiri, F., & Nasr, S. (2025). Mixed Convection Flow and Heat Transfer of Williamson Drilling Nanofluid Over a Stretching Cylinder Using Brinkman-Maxwell-Garnett Model and temperature-dependent Features. Journal of Nonlinear Mathematical Physics, 32(1), 78.

[9] Kameswaran, P. K., Sibanda, P., Partha, M. K., & Murthy, P. V. S. N. (2014). Thermophoretic and nonlinear convection in non-Darcy porous medium. Journal of Heat Transfer, 136(4), 042601.

[10] Hayat, T., Ullah, I., Alsaedi, A., Waqas, M., & Ahmad, B. (2017). Three-dimensional mixed convection flow of Sisko nanoliquid. International Journal of Mechanical Sciences, 133, 273-282.

[11] Khan, M. I., Khan, T. A., Qayyum, S., Hayat, T., Khan, M. I., & Alsaedi, A. J. T. E. P. J. P. (2018). Entropy generation optimization and activation energy in nonlinear mixed convection flow of a tangent hyperbolic nanofluid. The European Physical Journal Plus, 133(8), 329.

[12] Irfan, M. (2021). Study of Brownian motion and thermophoretic diffusion on non-linear mixed convection flow of Carreau nanofluid subject to variable properties. Surfaces and Interfaces, 23, 100926.

[13] Idowu, A. S., Akolade, M. T., Oyekunle, T. L., & Abubakar, J. U. (2021). Nonlinear convection flow of dissipative Casson nanofluid through an inclined annular microchannel with a porous medium. Heat transfer, 50(4), 3388-3406.

[14] Ibrahim, W., & Kenea, G. (2024). Nonlinear convection flow of a micropolar nanofluid past a stretching sphere with convective heat transfer. Journal of Nanofluids, 13(2), 407-422.

[15] Kenea, G., & Ibrahim, W. (2024). Nonlinear convection stagnation point flow of Oldroyd-B nanofluid with non-Fourier heat and non-Fick’s mass flux over a spinning sphere. Scientific Reports, 14(1), 841.

[16] Reddy, G. S. K., Raju, S. S. K., Mulki, H., & Souayeh, B. (2026). Nonlinear Convection of a Power-Law Fluid-Saturated Reactive Porous Layer. Axioms, 15(7), 487.

[17] Ireka, I. E. (2015). Computational analysis of non-isothermal flow of non-Newtonian fluids.

[18] Fatahian, E., Kordani, N., & Fatahian, H. (2018). The application of computational fluid dynamics (CFD) method and several rheological models of blood flow: A review. Gazi University Journal of Science, 31(4), 1213–1227.

[19] Fatahian, E., Kordani, N., & Fatahian, H. (2018). A review on rheology of non-Newtonian properties of blood. IIUM Engineering Journal, 19(1), 237–250.

[20] Casson, N. (1959). Flow equation for pigment-oil suspensions of the printing ink-type. In C. C. Mill (Ed.), Rheology of disperse systems (pp. 84–104). Pergamon Press.

[21] Mukhopadhyay, S., De, P. R., Bhattacharyya, K., & Layek, G. C. (2013). Casson fluid flow over an unsteady stretching surface. Ain Shams Engineering Journal, 4(4), 933–938.

[22] Nandeppanavar, M. M., Vaishali, S., Kemparaju, M., & Raveendra, N. (2020). Theoretical analysis of thermal characteristics of Casson nanofluid flow past an exponential stretching sheet in Darcy porous media. Case Studies in Thermal Engineering, 21, 100717.

[23] Awais, M., Raja, M. A. Z., Awan, S. E., Shoaib, M., & Ali, H. M. (2021). Heat and mass transfer phenomenon for the dynamics of Casson fluid through porous medium over shrinking wall subject to Lorentz force and heat source/sink. Alexandria Engineering Journal, 60(1), 1355–1363.

[24] Walelign, T., Haile, E., Kebede, T., & Walelgn, A. (2020). Analytical study of heat and mass transfer in MHD flow of chemically reactive and thermally radiative Casson nanofluid over an inclined stretching cylinder. Journal of Physics Communications, 4(12), 125003.

[25] Abo-Dahab, S., Abdelhafez, M., Mebarek-Oudina, F., & Bilal, S. (2021). MHD Casson nanofluid flow over nonlinearly heated porous medium in presence of extending surface effect with suction/injection. Indian Journal of Physics, 96(5), 1301–1315.

[26] Reddy, B. N., & Maddileti, P. (2023). Casson nanofluid and Joule parameter effects on variable radiative flow of MHD stretching sheet. Partial Differential Equations in Applied Mathematics, 7, 100487.

[27] Gubena, T., & Ibrahim, W. (2023). A 3D flow analysis of Casson nanofluid flow over a stretching surface with non-Fourier heat and non-Fick’s mass flux. International Journal of Thermofluids, 20, 100488.

[28] Ali, M. Y., Reza-E-Rabbi, S., Ahmmed, S. F., Nabi, M. N., Azad, A. K., & Muyeen, S. (2024). Hydromagnetic flow of Casson nanofluid across a stretched sheet in the presence of thermoelectric and radiation effects. International Journal of Thermofluids, 21, 100484.

[29] Prakash, O. M., Makinde, O. D., Kumar, D., & Dwivedi, Y. K. (2015). Heat transfer to MHD oscillatory dusty fluid flow in a channel filled with a porous medium. Sadhana, 40(4), 1273-1282.

[30] Siddiqa, S., Begum, N., Hossain, M. A., Gorla, R. S. R., & Al-Rashed, A. A. (2018). Two-phase natural convection dusty nanofluid flow. International Journal of Heat and Mass Transfer, 118, 66-74.

[31] Reddy, M. G., Rani, M. S., Kumar, K. G., Prasannakumar, B. C., & Lokesh, H. J. (2020). Hybrid dusty fluid flow through a Cattaneo–Christov heat flux model. Physica A: Statistical Mechanics and its Applications, 551, 123975.

[32] Kalpana, G., & Saleem, S. (2022). Heat transfer of magnetohydrodynamic stratified dusty fluid flow through an inclined irregular porous channel. Nanomaterials, 12(19), 3309.

[33] Das, S., Sarkar, S., Ali, A., & Jana, R. N. (2024). Exploration of magnetically influenced flow dynamics of a dusty fluid induced by the ramped movement of a thermally active plate. Archive of Applied Mechanics, 94(2), 407-433.

[34] Alahmadi, H., Rauf, A., Mushtaq, T., Tanveer, N., Omar, M., & Shehzad, S. A. (2024). Time‐dependent double phase dusty fluid flow over an oscillatory rotating disk. Heat Transfer, 53(3), 1336-1350.

[35] Kumar, M. D., Raju, C. S. K., Sajjan, K., Dharmaiah, G., Shah, N. A., & Yook, S. J. (2025). Deep neural network-based prediction and computational fluid dynamics analysis of convective heat transfer in dusty fluid flow over heated surface. Physics of Fluids, 37(2).

[36] Grubka, L.J. and Bobba, K.M., (1985). Heat transfer characteristics of a continuous, stretching surface with variable temperature.

[37] Abel, M.S. and Mahesha, N.J.A.M.M., (2008). Heat transfer in MHD viscoelastic fluid flow over a stretching sheet with variable thermal conductivity, non-uniform heat source and radiation. Applied Mathematical Modelling, 32(10), pp.1965-1983.

@article{1722370,
      author = {Jyoti D. K, Dhananjaiah D. S, Prakasha P},
      title = {Comparative Study of Mixed Convection Effects on MHD Casson Dusty Two-Phase Flow over a Stretching Sheet},
      journal = {Iconic Research And Engineering Journals},
      year = {2026},
      volume = {10},
      number = {2},
      pages = {1807-1821},
      issn = {2456-8880},
      url = {https://www.irejournals.com/formatedpaper/1722370.pdf},
      abstract = {The present study investigates the nonlinear mixed convection flow and heat transfer characteristics of a magnetohydrodynamic (MHD) Casson dusty fluid over a stretching sheet in the presence of internal heat generation effects. The influences of space-dependent and temperature-dependent heat generation parameters are incorporated into the analysis. Using suitable similarity transformations, the governing nonlinear partial differential equations are converted into a system of ordinary differential equations and solved numerically using the Runge-Kutta-Fehlberg (RKF) method combined with the shooting technique. The analysis is performed for the parameter ranges M = 0-1,β = 0.5-1.5,Qt = 0-0.4,Qe = 0-0.4, with a comparative investigation between the absence (λ = 0) and presence (λ = 0.5) of mixed convection. The results show that increasing the Casson parameter significantly reduces the fluid velocity while enhancing the temperature distribution, whereas the magnetic parameter suppresses the momentum boundary layer because of the Lorentz force. Both space-dependent and temperature-dependent heat generation parameters increase the thermal boundary layer thickness. Furthermore, mixed convection enhances fluid motion and improves the local heat transfer rate compared with the λ = 0 case. The fluid-phase velocity and temperature are consistently higher than those of the dust phase over the entire parameter range considered. These findings provide useful insight into thermal transport and flow control in polymer extrusion, metallurgical processing, cooling of stretching surfaces, lubrication systems, and related heat-transfer devices.},
      keywords = {casson fluid, dusty:  nonlinear thermal convection, mhd, irregular heat source.},
      month = {August},
      doi = {https://doi.org/10.64388/IREV10I2-1722370}
  }