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Numerical study of mixed convection and thermal enhancement in Williamson ternary nanofluid flow over a non-isothermal wedge using the keller box method

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  • Kannan, Sushmitha
  • Prasad, Vallampati Ramachandra

Abstract

The aim of the present analysis is to examine the mixed convection flow of Williamson ternary (Ag,MgO,Fe3O4/water)nanofluid over a non-isothermal wedge. During the study, the dimensional continuity, momentum, energy, and concentration equations are transformed into non-dimensional equations using a non-similarity transformation. Keller box (KBM) numerical solution methods are then applied to analyse the impacts of various dimensionless parameters on velocity, temperature, and concentration. The focus of this research is on two primary instances: the behaviour of Newtonian fluids and the unique properties of Williamson fluids, which are categorized as non-Newtonian. Various factors are analysed in both cases, including the buoyancy ratioN, mixed convectionλ, Brownian motionNT, thermophoresisNB, and heat source and sinkQ parameters. The Williamson fluid model describes non-Newtonian fluids where viscosity changes with shear rate. The results indicate that variations in the Williamson fluid, buoyancy, and mixed convection parameter result in alterations in the fluid viscosity, subsequently influencing the thermal mass-transfer properties of the fluid. Fluid flow over a wedge surface is utilized in various fields such as aerodynamics, heat transfer, chemical engineering, geophysics, and material processing. The application of the Williamson ternary fluid model, incorporating Ag,MgO, and Fe3O4 nanoparticles dispersed in water flowing over a wedge surface, has the potential to transform heat dissipation in advanced electronic cooling systems. This innovation could significantly boost performance and reliability, particularly in demanding high-power applications, representing a significant advancement in thermal management technology. Finally, the main findings of this article are highlighted in the last section.

Suggested Citation

  • Kannan, Sushmitha & Prasad, Vallampati Ramachandra, 2025. "Numerical study of mixed convection and thermal enhancement in Williamson ternary nanofluid flow over a non-isothermal wedge using the keller box method," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 233(C), pages 502-529.
  • Handle: RePEc:eee:matcom:v:233:y:2025:i:c:p:502-529
    DOI: 10.1016/j.matcom.2025.02.016
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    References listed on IDEAS

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    1. Firas A. Alwawi & Feras M. Al Faqih & Mohammed Z. Swalmeh & Mohd Asrul Hery Ibrahim, 2022. "Combined Convective Energy Transmission Performance of Williamson Hybrid Nanofluid over a Cylindrical Shape with Magnetic and Radiation Impressions," Mathematics, MDPI, vol. 10(17), pages 1-19, September.
    2. Marin Marin & Aatef Hobiny & Ibrahim Abbas, 2021. "Finite Element Analysis of Nonlinear Bioheat Model in Skin Tissue Due to External Thermal Sources," Mathematics, MDPI, vol. 9(13), pages 1-9, June.
    3. Kamel Guedri & Arshad Khan & Ndolane Sene & Zehba Raizah & Anwar Saeed & Ahmed M. Galal & Jianguo Wang, 2022. "Thermal Flow for Radiative Ternary Hybrid Nanofluid over Nonlinear Stretching Sheet Subject to Darcy–Forchheimer Phenomenon," Mathematical Problems in Engineering, Hindawi, vol. 2022, pages 1-14, October.
    4. Sara I. Abdelsalam & Abdullah Z. Zaher, 2021. "Leveraging Elasticity to Uncover the Role of Rabinowitsch Suspension through a Wavelike Conduit: Consolidated Blood Suspension Application," Mathematics, MDPI, vol. 9(16), pages 1-25, August.
    5. Aatef Hobiny & Faris Alzahrani & Ibrahim Abbas, 2020. "Analytical Estimation of Temperature in Living Tissues Using the TPL Bioheat Model with Experimental Verification," Mathematics, MDPI, vol. 8(7), pages 1-11, July.
    6. Oruba Ahmad Saleh Alzu’bi & Firas A. Alwawi & Mohammed Z. Swalmeh & Ibrahim Mohammed Sulaiman & Abdulkareem Saleh Hamarsheh & Mohd Asrul Hery Ibrahim, 2022. "Energy Transfer through a Magnetized Williamson Hybrid Nanofluid Flowing around a Spherical Surface: Numerical Simulation," Mathematics, MDPI, vol. 10(20), pages 1-18, October.
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