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Effects of Variable Properties on the Convective Flow of Water near Its Density Extremum in an Inclined Enclosure with Entropy Generation

Author

Listed:
  • Sivasankaran Sivanandam

    (Mathematical Modelling and Applied Computation Research Group, Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia)

  • Fouad O. M. Mallawi

    (Mathematical Modelling and Applied Computation Research Group, Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia)

Abstract

The aim of the current numerical simulation was to understand the effects of the temperature-dependent properties of viscosity and thermal conductivity on the buoyant convection of cold water around its density extremum in a tilting chamber. The equations for thermal conductivity and viscosity were derived based on the reference temperature parameter. The entropy generation and cup mixing temperature were also calculated. The governing mathematical model was solved by the finite-volume-based iterative technique. The obtained results were deliberated for several values of inclination angles and for the density reversal parameter for variable viscosity and thermal conductivity cases. It was detected that density inversion has a strong effect on stream and thermal patterns through the development of a bi-cellular arrangement due to density inversion.

Suggested Citation

  • Sivasankaran Sivanandam & Fouad O. M. Mallawi, 2022. "Effects of Variable Properties on the Convective Flow of Water near Its Density Extremum in an Inclined Enclosure with Entropy Generation," Mathematics, MDPI, vol. 10(19), pages 1-20, September.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:19:p:3497-:d:924663
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    References listed on IDEAS

    as
    1. Hossam A. Nabwey & Sumayyah I. Alshber & Ahmed M. Rashad & Abd El Nasser Mahdy, 2022. "Influence of Bioconvection and Chemical Reaction on Magneto—Carreau Nanofluid Flow through an Inclined Cylinder," Mathematics, MDPI, vol. 10(3), pages 1-14, February.
    2. Umair Khan & Iskandar Waini & Aurang Zaib & Anuar Ishak & Ioan Pop, 2022. "MHD Mixed Convection Hybrid Nanofluids Flow over a Permeable Moving Inclined Flat Plate in the Presence of Thermophoretic and Radiative Heat Flux Effects," Mathematics, MDPI, vol. 10(7), pages 1-21, April.
    3. Sumayyah Alabdulhadi & Iskandar Waini & Sameh E. Ahmed & Anuar Ishak, 2021. "Hybrid Nanofluid Flow and Heat Transfer Past an Inclined Surface," Mathematics, MDPI, vol. 9(24), pages 1-14, December.
    4. R Bindhu & G Sai SundaraKrishnan & S Sivasankaran & M Bhuvaneswari, 2019. "Magneto-convection of water near its maximum density in a cavity with partially thermally active walls," Energy & Environment, , vol. 30(5), pages 833-853, August.
    5. Ammar I. Alsabery & Ishak Hashim & Ahmad Hajjar & Mohammad Ghalambaz & Sohail Nadeem & Mohsen Saffari Pour, 2020. "Entropy Generation and Natural Convection Flow of Hybrid Nanofluids in a Partially Divided Wavy Cavity Including Solid Blocks," Energies, MDPI, vol. 13(11), pages 1-25, June.
    6. Aissa Abderrahmane & Naef A. A. Qasem & Obai Younis & Riadh Marzouki & Abed Mourad & Nehad Ali Shah & Jae Dong Chung, 2022. "MHD Hybrid Nanofluid Mixed Convection Heat Transfer and Entropy Generation in a 3-D Triangular Porous Cavity with Zigzag Wall and Rotating Cylinder," Mathematics, MDPI, vol. 10(5), pages 1-18, February.
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