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Mixed Convection inside a Duct with an Open Trapezoidal Cavity Equipped with Two Discrete Heat Sources and Moving Walls

Author

Listed:
  • Fateh Mebarek-Oudina

    (Department of Physics, Faculty of Sciences, University of 20 Août 1955-Skikda, B.P. 26 Road El-Hadaiek, Skikda 21000, Algeria)

  • Hanane Laouira

    (Department of Physics, Faculty of Sciences, University of 20 Août 1955-Skikda, B.P. 26 Road El-Hadaiek, Skikda 21000, Algeria)

  • Ahmed Kadhim Hussein

    (Mechanical Engineering Department, College of Engineering, University of Babylon, Babylon City, Hilla 00964, Iraq)

  • Mohamed Omri

    (Deanship of Scientific Research, King Abdulaziz University, Jeddah 21589, Saudi Arabia)

  • Aissa Abderrahmane

    (Laboratoire de Physique Quantique de la Matière et Modélisation Mathématique (LPQ3M), University of Mascara, Mascara 29000, Algeria)

  • Lioua Kolsi

    (Mechanical Engineering Department, College of Engineering, University of Ha’il, Ha’il 81451, Saudi Arabia
    Laboratory of Metrology and Energy Systems, National Engineering School of Monastir, University of Monastir, Monastir 5000, Tunisia)

  • Uddhaba Biswal

    (Department of Mathematics, National Institute of Technology Rourkela, Rourkela 769008, India)

Abstract

The current research presents a numerical investigation of the mixed convection inside a horizontal rectangular duct combined with an open trapezoidal cavity. The region in the bottom wall of the cavity is heated by using two discrete heat sources. The cold airflow enters the duct horizontally at a fixed velocity and a constant temperature. All the other walls of the duct and the cavity are adiabatic. Throughout this study, four various cases were investigated depending on the driven walls. The effects of the Richardson number and Reynolds number ratio are studied under various cases related to the lid-driven sidewalls. The results are presented in terms of the flow and thermal fields and the average Nusselt number. The yielded data show that the average Nusselt number rises as the Richardson number and Reynolds number ratio increases. Furthermore, the Reynolds number ratio and the movement of the cavity sidewall(s) have a significant effect on the velocity and temperature contours. By the end of the study, it is shown that the maximum rates of heat transfer are related to Case 1 where the left sidewall moves downward and heater 2, which is placed near the left sidewall.

Suggested Citation

  • Fateh Mebarek-Oudina & Hanane Laouira & Ahmed Kadhim Hussein & Mohamed Omri & Aissa Abderrahmane & Lioua Kolsi & Uddhaba Biswal, 2022. "Mixed Convection inside a Duct with an Open Trapezoidal Cavity Equipped with Two Discrete Heat Sources and Moving Walls," Mathematics, MDPI, vol. 10(6), pages 1-14, March.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:6:p:929-:d:770866
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