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Theoretical Study on Steady Airflow through Multiple Upper Opennings inside a Rectangular Building in the Presence of Indirect Flow

A. L. Muhammad, D. A. Gano, M. Z. Ringim, S. A. Ibrahim, A. B. Baffa. Published in Applied Sciences.

Communications on Applied Electronics
Year of Publication: 2018
Publisher: Foundation of Computer Science (FCS), NY, USA
Authors: A. L. Muhammad, D. A. Gano, M. Z. Ringim, S. A. Ibrahim, A. B. Baffa

A L Muhammad, D A Gano, M Z Ringim, S A Ibrahim and A B Baffa. Theoretical Study on Steady Airflow through Multiple Upper Opennings inside a Rectangular Building in the Presence of Indirect Flow. Communications on Applied Electronics 7(14):17-25, March 2018. BibTeX

	author = {A. L. Muhammad and D. A. Gano and M. Z. Ringim and S. A. Ibrahim and A. B. Baffa},
	title = {Theoretical Study on Steady Airflow through Multiple Upper Opennings inside a Rectangular Building in the Presence of Indirect Flow},
	journal = {Communications on Applied Electronics},
	issue_date = {March 2018},
	volume = {7},
	number = {14},
	month = {Mar},
	year = {2018},
	issn = {2394-4714},
	pages = {17-25},
	numpages = {9},
	url = {},
	doi = {10.5120/cae2018652757},
	publisher = {Foundation of Computer Science (FCS), NY, USA},
	address = {New York, USA}


The present paper is an extension of [2] work, in which, the study was concerned with an investigation of airflow through multiple upper vents in the presence of indirect flow, in which, the tendency of buoyancy force effect was strong due to the high temperature difference between interior and the ambient. A flow of this type represents a new class of boundary- layer flow problems in the building. Moreover, this is an exact solution of the complete Navier- Stokes Equations (including, buoyancy force term), which were then dimensionalised using some dimensionless parameters to reduce the Equations to ordinary differential Equations and then solved analytically by variation of parameter method and obtained the solutions, in which the behavior of parameters in the results were predicted the velocity, temperature profiles together with volumetric airflow and mass transfer. The results were then evaluated numerically for several sets of values of the parameters in order to ascertain the best for optimal ventilation. We performed comparison based on assume numerical values and parameter values of [2]. From the simulations in Figures 15-17, our Developed study is better and more efficient for ventilation. In conclusion, the main feature to be observed as the temperature changes increases the corresponding airflow is also increases this leads to the increase in velocity profiles. As the velocity of airflow increases the corresponding volumetric airflow is decreases, this leads to the increase in mass transfer in the building envelope. Therefore, the greater number of vertical vents in the building, and the greater temperature difference between the interior and exterior, the stronger is the effect of the buoyancy forces.


  1. Allocca, C., Chen, Q., and Glicksman, L.R. (2003). Design analysis of single-sided natural ventilation Energy and Buildings. 35(8), 785- 795.
  2. A. L. Muhammad and A. B. Baffa 2015. Airflow process across vertical vents induced by stack- driven effect with an opposing flow in one of the upper openings. International Journal of Computer Application (IJCA). Volume 123(1). 1- 8.
  3. A. L. Muhammad and A. B. Baffa and M. Z. Ringim 2016. Investigation of stack- driven airflow through rectangular cross- ventilated building with two openings using analytic technique. International Journal of Computer Application (IJCA). Volume 141(6). 5- 11.
  4. Andrew Acred, Gary R. Hunt 2014. A simplified mathematical approach for modelling stack ventilation in multi-compartment buildings. Builing and Environment 71, 121- 130.
  5. Barakat, S.A., (1987) . Inter- zone convection heat transfer in building: a review. J. Solar Energy, 109, 71- 78.
  6. Brown, W.G., and Salvason, K.R., (1962). Natural convection through rectangular openings in partitions- part I: vertical partitions. Int. J. Heat and mass transfer , 5, 859- 868.
  7. C.L. Chow 2010. Air flow rate across vertical opening induced by room heat sources. International Journal on Architectural Science Volume 8, Number 1.11- 16.
  8. Daniel, N. R. (2005). Mathematical modeling of wind forces. Department of theoretical and applied mechanics, University of Illinois at Urbana- Champaign. USA. 1 - 14.
  9. Liang Chung James Lo, 2012. Predicting wind driven cross ventilation in buildings with small openings. Doctoral thesis. University of Texas U. S. A.
  10. M.Santamouris, A. Argiriou, D. Asimakopoulos, N. Klitsikas, A. Dounis 1995. Heat and Mass- Transfer through large openings by natural convection. Energy and Buildings 23.
  11. Roberto Fuliotto et al. (2010),” Experimental and Numerical analysis of heat transfer and airflow on an interactive building façade”. Energy and Buildings. 42(1), 23- 28.
  12. Yuguo Li, Angelo Delsante, Je Symons 2000. Prediction of natural ventilation in buildings with large openings. Built. and Environment 35, 191- 206.


Velocity profiles, Temperature profiles, Volumetric airflow, Mass transfer.