INDIAN JOURNAL OF SCIENCE AND TECHNOLOGY
RESEARECH ARTICLE
OPEN ACCESS
Received: 14.09.2021
Accepted: 03.12.2021
Published: 27.12.2021
Citation: Moctar M, Ky TSM,
Konfé A, Dianda B, Ouédraogo S,
Bathiébo DJ (2021) Natural
Convection Modeling in a Solar
Tower. Indian Journal of Science
and Technology 14(48): 3475-3493.
https://doi.org/
10.17485/IJST/v14i48.1357
∗
Corresponding author.
ousmane.m2001@gmail.com
Funding: None
Competing Interests: None
Copyright: © 2021 Moctar et al. This
is an open access article distributed
under the terms of the Creative
Commons Attribution License, which
permits unrestricted use,
distribution, and reproduction in
any medium, provided the original
author and source are credited.
Published By Indian Society for
Education and Environment (iSee)
ISSN
Print: 0974-6846
Electronic: 0974-5645
Natural Convection Modeling in a Solar
Tower
Moctar Moctar
1∗
, Thierry Sikoudouin Maurice Ky
2
, Amadou Konfé
2
,
Boureima Dianda
3
, Salifou Ouédraogo
2
, Dieudonné Joseph Bathiébo
2
1 University of Agadez, PO BOX 199, Niger
2 Laboratory L.E.T.R.E, University Joseph KIZERBO, PO BOX 7021, Ouagadougou 03, Burkina
Faso
3 Institute of Research in Applied Science and Technologies, Ouagadougou 03, PO Box 7047,
Burkina Faso
Abstract
Objectives: We present in this study a modeling of thermal laminar convection
airflow in a solar tower. Methods: To formulate with precision, the boundary
conditions of the solar chimney model chosen, the Cartesian equations are
transformed into hyperbolic coordinates. An orthogonal grid is elaborated. It
then makes it possible to draw up the diagrams of physique and calculation
fields. The computer code uses the heat equation, the vorticity, and the stream
function formalism as the boundary conditions for pressure are difficult to
set. We use the Boussinesq approximation, which consists in considering that
the density (ρ ) of the fluid varies only in the term of the gravity forces, whose
variations with temperature, assumed to be linear, generate natural convec-
tion. These variations are then translated into an equation of state which
relates density to temperature. The system of dimensionless equations is
solved by using an intégro-interpolation method referring to finite differences
scheme. Findings: The solutions obtained from the dimensionless equations
enabled us to determine the space evolution parameters (temperatures and
velocities) in the tower according to the Rayleigh number. The fluid temper-
ature and velocity evolution in the collector increase when one moves in the
direction of radius decrease. The fluid temperature evolution in the chimney
showed that the highest temperature is located at the chimney base while
we obtained a parabolic profile of the transverse temperature distribution
within the chimney. Finally, the evolution of the fluid velocity in the chimney
showed that there was a preferred zone for turbine installation. Novelty :
The use of dimensionless geometric parameters is unique and in general, the
approach adopted in this paper differs from that encountered in the literature.
1 Introduction
Nowadays, the development level of each nation is measured by the rate of access
to electricity and its consumption per capita. In our countries, the energy crisis, the
deterioration of the environment, and the decline in agricultural yields have negative
consequences on the quality of life. Te population growth and development needs have
led to an increase in the consumption of traditional energy resources. Indeed, in
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