International Journal of Mathematics Trends and Technology
Volume 68 | Issue 7 | Year 2022 | Article Id. IJMTT-V68I7P512 | DOI : https://doi.org/10.14445/22315373/IJMTT-V68I7P512
| Received | Revised | Accepted | Published |
|---|---|---|---|
| 18 Jun 2022 | 26 Jul 2022 | 31 Jul 2022 | 06 Aug 2022 |
The article is an extension of [15] work in which, the study investigatedthe effect of stack- driven airflow across multiple vents with the absence of indirect flow inthe building. Also, the study considered a building with multiple vertical openings which increased the exchange of air between the interior and exterior of the building envelope. This leads to the introduction of another dimensional group parameter (Grashop number 𝐺𝑟) in the study. Dimensional momentum and energy equations are utilized and solved analytically by means of separation of variable method. The behavior of parameters involved in the study predicted the results for Velocity, temperature distributions together with volumetric and mass- transfer. Moreover, the numerical simulations are presented graphically and discussed for varying values of physical parameters involved in the study.
[1] H. B. Awbi and M. M. Nemri, “Scale Effect in Room Air-Flow Studies,” Energy and Buildings, vol. 14, no. 3, pp. 207-210, 1990. Doi:10.1016/0378-7788(90)9044-J
[2] H. B. Awbi, “Air Movement on Naturally-Ventilated Buildings,” Renewable Energy, vol. 8, no. 1, pp. 241-247, 1996. Doi:10.1016/0960-1481(96)88855-0
[3] A. L. Muhammad and A. B. Baffa and M. Z. Ringim, “Investigation of Stack- Driven Airflow through Rectangular Cross- Ventilated Building with Two Openings Using Analytic Technique,” International Journal of Computer Application (IJCA), vol. 141, no. 6, pp. 5-11, 2016. Crossref, https://www.ijcaonline.org/archives/volume141/number6/24786-2016909631
[4] A. L. Muhammad, D. A. Gano, M. Z. Ringim, S. A. Ibrahim and A.B. Baffa, “Theoretical Study on Steady Airflow Through Multiple Upper Openings Inside a Rectangular Building in the Presence of Indirect Flow,” Communication on applied Electronics (CAE), vol. 7, no. 14, pp. 17-25, 2018. Crossref, https://caeaccess.org/archives/volume7/number14/805-2018652757
[5] G. Gan, “Evaluation of Room Air Distribution Systems Using CFD,” Energy and Building, vol. 23, no. 2, pp. 83-93, 1995.
[6] G. Gan, “Simulation of Buoyancy-Driven Natural Ventilation of Buildings-Impact of Computational Domain,” Energy and Building, vol. 42, pp. 1290-1300, 2010.
[7] M. W. Liddament, “A Review of Building Air Flow Simulation,” Tech. Note AIVC 33, Air Infiltration and Ventilation Centre, Coventry UK, 1991.
[8] S. Murakami and S. Kato, “Numerical and Experimental Study on Room Air Flow- 3-D Predictions Using the K − Ε Turbulence Model,” Building and Environment, vol. 24, no. 1, pp. 85-97, 1989.
[9] G. R. Hunt and P. F. Linden, “Steady-State Flows in an Enclosure Ventilated by Buoyancy Forces Assisted by Wind,” J. Fluid Mech., vol. 426, pp. 355-386, 2001.
[10] D. N. Riahi, “Mathematical Modeling of Wind Forces,” Department of Theoretical and Applied Mechanics, University of Illinois at Urbana- Champaign USA, pp. 1-14, 2005.
[11] F. Roberto, “Experimental and Numerical Analysis of Heat Transfer and Airflow on an Interactive Building Façade,” Energy and Buildings, vol. 42, no. 1, pp. 23-28, 2010.
[12] T. Van Hooff, and B. Blocken, “CFD Evaluation of Natural Ventilation of Indoor Environments by the Concentration Decay Method: CO2 Gas Dispersion from a Semi-Enclosed Stadium,” Building and Environment, vol. 61, pp. 1-17, 2013.
[13] M. Santamouris, A. Argiriou, D. Asimakopoulos, N. Klitsikas and A. Dounis, “Heat and Mass- Transfer through Large Openings by Natural Convection,” Energy and Buildings, vol. 23, pp. 1-8, 1995.
[14] Y. Wei, Z. Guoqiang, Y. Wei and W. Xiao, Natural ventilation potential model considering solution multiplicity, window opening percentage, air velocity and humidity in china, Building and Environment 45 (2010) 338- 344.
[15] A. L. Muhammad, M. Z. Ringim and L. A. Isma’il, Transient investigation of stack- driven airflow process through rectangular crossventilated building with two vents in the absence opposing flow in the upper opening, International Journal of Engineering and Technology (IJET) 7(3) (2018) 1249- 1256. https://www.sciencepubco.com/index.php/ijet/article/view/9422
[16] D. J. Wilson and D. E. Keil, Gravity-driven coun-terflow through an open door in a sealed room, Building and Environment 25 (1990) 379– 388.
[17] W. Xin, H. Chen and C. Weiwu, Mathematical modeling and experimental study on vertical temperature distribution of hybrid ventilation in an atrium building, Energy and Buildings 41 (2009) 907– 914.
[18] J. Yi and C. Qingyan, Buoyancy-driven single-sided natural ventilation in buildings with large openings, International Journal of Heat and Mass transfer 46 (2003) 973- 988.
[19] R. E. Britter, J. C. R. Hunt and J. C. Mumford, The distortion of turbulence by a circular cylinder, J. Fluid Mech. 92 (1979) 269- 301.
[20] L. C. James Lo, Predicting wind driven cross ventilation in buildings with small openings. Doctoral thesis. University of Texas, USA (2012).
[21] P. Cooper and P. F. Linden, Natural ventilation of an enclosure containing two buoyancy sources, J. Fluid mechanics 311 (1996) 153- 176.
[22] W. G. Brown and K. R. Solvason, Natural convection through rectangular opening in partition-I. Int. J. Heat and Mass Transfer 5 (1962a) 859- 868.
[23] W. G. Brown and K. R. Solvason, Natural convection heat transfer through rectangular openings in partitions-II, Int. J. Heat and Mass Transfer 5 (1962b) 869 – 878.
[24] P. F. Linden, The Fluid Mechanics of Natural ventilation. Annu. Rev. Fluid Mech. 31(1) (1999) 201 - 238.
[25] A. L. Muhammad, A. B. Baffa and U. M. Dauda, Transient airflow process across three vertical vents induced by Stack- driven effect inside Un- Stratified cross- ventilated rectangular building with an opposing flow in one of the upper Opening, International Journal of Computer Application (IJCA) 148(1) (2016) 4- 11. https://www.ijcaonline.org/archives/volume148/number1/25719-2016910676
[26] Muhammad Auwal Lawan and Sunusi Aminu Nata’ala. Transient Investigation of Stack-Driven Air Flow Through Multiple UpperVents in The Presence of Constant Indirect Flow Velocity in Rectangular Ventilated Building. Engineering Mathematics 4(2) (2020), 14-30
[27] A. L. Muhammad et al. Theoretical study on steady airflow through multiple upper openings inside a rectangular building in the presence of indirect flow. Communications on Applied Electronics (CAE) 7(14) (2018), 17-25. http://dx.doi.org/10.19101/IJATEE.2020.762016
[28] Muhammad Auwal Lawan et al. A study of transient effect of constant indirect flow velocity through multiple upper-vents in unstratified rectangular ventilated building using theoretical approach. International Journal of Advanced Technology and Engineering Exploration, 7(64) (2020), 53- 72
[29] Muhammad Auwal Lawan et al. A study of natural convection flow through rectangular building with four openings induced by stackdriven forces. International Journal of Mathematics Trends and Technology (IJMTT). 66(9) (2020), 228- 238. http://www.ijmttjournal.org
[30] A.L. Muhammad and A. B. Baffa. Air flow process across vertical vents induced by stack- driven effect with an opposing flow in one of the upper openings. International Journal of Computer Applications (IJCA), 123(1) (2015), 1-8. https://www.ijcaonline.org/archives/volume123/number1/21920-201590072.
Muhammad Auwal Lawan, Muftahu Zubairu Ringim, Lawan Adamu Isma’il, "Effect of Buoyancy forces on Transient Airflow across Multiple Vents in Building with the Absence of Indirect Flow," International Journal of Mathematics Trends and Technology (IJMTT), vol. 68, no. 7, pp. 84-105, 2022. Crossref, https://doi.org/10.14445/22315373/IJMTT-V68I7P512
PDF 
Abstract 
Keywords 
References 
Citation