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Transient Investigation of Stack-driven Air Flow Through Multiple Upper-vents in the Presence of Constant Indirect Flow Velocity in Rectangular Ventilated Building

Received: 25 September 2019    Accepted: 21 October 2019    Published: 3 September 2020
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Abstract

The paper investigates the time independent effect of Stack- driven airflow in cross- ventilated building with multiple opening in the presence of constant indirect flow velocity. The dimensionless model of momentum and energy equations are analyzed, using second order linear differential equation to develop the explicit expression for velocity, temperature profiles together with volumetric and mass- transfer by means of separation of variable method. Some numerical examples are presented graphically in order to illustrate the effects of physical parameters involved in the study. From the course of investigation, it was observed air temperature and velocity increase with the increase in both parameters (θ0), (Pr) and (Gr). Respectively. In addition, comparison with previously published work by A. L. Muhammad et. al (2016) was performed. In which, the study concluded that, the results for present work is more effective and efficient than the previous work in term of ventilation process. Finally, from the course of investigation, it was observed air temperature and velocity increase with the increase in both parameters (θ0), (Pr) and (Gr) respectively.

Published in Engineering Mathematics (Volume 4, Issue 2)
DOI 10.11648/j.engmath.20200402.11
Page(s) 14-30
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Transient Effect, Indirect Flow Velocity, Multiple Upper Vents, Ventilated Building

References
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Cite This Article
  • APA Style

    Muhammad Auwal Lawan, , Sunusi Aminu Nata’ala. (2020). Transient Investigation of Stack-driven Air Flow Through Multiple Upper-vents in the Presence of Constant Indirect Flow Velocity in Rectangular Ventilated Building. Engineering Mathematics, 4(2), 14-30. https://doi.org/10.11648/j.engmath.20200402.11

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    ACS Style

    Muhammad Auwal Lawan; ; Sunusi Aminu Nata’ala. Transient Investigation of Stack-driven Air Flow Through Multiple Upper-vents in the Presence of Constant Indirect Flow Velocity in Rectangular Ventilated Building. Eng. Math. 2020, 4(2), 14-30. doi: 10.11648/j.engmath.20200402.11

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    AMA Style

    Muhammad Auwal Lawan, , Sunusi Aminu Nata’ala. Transient Investigation of Stack-driven Air Flow Through Multiple Upper-vents in the Presence of Constant Indirect Flow Velocity in Rectangular Ventilated Building. Eng Math. 2020;4(2):14-30. doi: 10.11648/j.engmath.20200402.11

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  • @article{10.11648/j.engmath.20200402.11,
      author = {Muhammad Auwal Lawan and  and Sunusi Aminu Nata’ala},
      title = {Transient Investigation of Stack-driven Air Flow Through Multiple Upper-vents in the Presence of Constant Indirect Flow Velocity in Rectangular Ventilated Building},
      journal = {Engineering Mathematics},
      volume = {4},
      number = {2},
      pages = {14-30},
      doi = {10.11648/j.engmath.20200402.11},
      url = {https://doi.org/10.11648/j.engmath.20200402.11},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.engmath.20200402.11},
      abstract = {The paper investigates the time independent effect of Stack- driven airflow in cross- ventilated building with multiple opening in the presence of constant indirect flow velocity. The dimensionless model of momentum and energy equations are analyzed, using second order linear differential equation to develop the explicit expression for velocity, temperature profiles together with volumetric and mass- transfer by means of separation of variable method. Some numerical examples are presented graphically in order to illustrate the effects of physical parameters involved in the study. From the course of investigation, it was observed air temperature and velocity increase with the increase in both parameters (θ0), (Pr) and (Gr). Respectively. In addition, comparison with previously published work by A. L. Muhammad et. al (2016) was performed. In which, the study concluded that, the results for present work is more effective and efficient than the previous work in term of ventilation process. Finally, from the course of investigation, it was observed air temperature and velocity increase with the increase in both parameters (θ0), (Pr) and (Gr) respectively.},
     year = {2020}
    }
    

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  • TY  - JOUR
    T1  - Transient Investigation of Stack-driven Air Flow Through Multiple Upper-vents in the Presence of Constant Indirect Flow Velocity in Rectangular Ventilated Building
    AU  - Muhammad Auwal Lawan
    AU  - 
    AU  - Sunusi Aminu Nata’ala
    Y1  - 2020/09/03
    PY  - 2020
    N1  - https://doi.org/10.11648/j.engmath.20200402.11
    DO  - 10.11648/j.engmath.20200402.11
    T2  - Engineering Mathematics
    JF  - Engineering Mathematics
    JO  - Engineering Mathematics
    SP  - 14
    EP  - 30
    PB  - Science Publishing Group
    SN  - 2640-088X
    UR  - https://doi.org/10.11648/j.engmath.20200402.11
    AB  - The paper investigates the time independent effect of Stack- driven airflow in cross- ventilated building with multiple opening in the presence of constant indirect flow velocity. The dimensionless model of momentum and energy equations are analyzed, using second order linear differential equation to develop the explicit expression for velocity, temperature profiles together with volumetric and mass- transfer by means of separation of variable method. Some numerical examples are presented graphically in order to illustrate the effects of physical parameters involved in the study. From the course of investigation, it was observed air temperature and velocity increase with the increase in both parameters (θ0), (Pr) and (Gr). Respectively. In addition, comparison with previously published work by A. L. Muhammad et. al (2016) was performed. In which, the study concluded that, the results for present work is more effective and efficient than the previous work in term of ventilation process. Finally, from the course of investigation, it was observed air temperature and velocity increase with the increase in both parameters (θ0), (Pr) and (Gr) respectively.
    VL  - 4
    IS  - 2
    ER  - 

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Author Information
  • Department of Mathematics, Kano University of Science and Technology, Wudil, Nigeria

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