A transient natural convection heat transfer model for geothermal borehole heat exchangers

2013 ◽  
Vol 5 (4) ◽  
pp. 043104 ◽  
Author(s):  
S. A. Ghoreishi-Madiseh ◽  
F. P. Hassani ◽  
A. Mohammadian ◽  
P. H. Radziszewski
Keyword(s):  
Heat Transfer ◽  
Natural Convection ◽  
Heat Exchangers ◽  
Convection Heat Transfer ◽  
Heat Transfer Model ◽  
Transfer Model ◽  
Natural Convection Heat Transfer ◽  
Convection Heat ◽  
Transient Natural Convection ◽  
Borehole Heat Exchangers

Effect of spatial side-wall temperature variation on transient natural convection of a nanofluid in a trapezoidal cavity

2017 ◽  
Vol 27 (6) ◽  
pp. 1365-1384 ◽  
Author(s):  
Ammar I. Alsabery ◽  
Ishak Hashim ◽  
Ali J. Chamkha ◽  
Habibis Saleh ◽  
Bilal Chanane
Keyword(s):  
Heat Transfer ◽  
Natural Convection ◽  
Temperature Variation ◽  
Wall Temperature ◽  
Convection Heat Transfer ◽  
Side Wall ◽  
Natural Convection Heat Transfer ◽  
Convection Heat ◽  
Content Type ◽  
Transient Natural Convection

Purpose This paper aims to study analytically and numerically the problem of transient natural convection heat transfer in a trapezoidal cavity with spatial side-wall temperature variation. Design/methodology/approach The governing equations subject to the initial and boundary conditions are solved numerically by the finite difference scheme consisting of the alternating direction implicit method and the tri-diagonal matrix algorithm. The left sloping wall of the cavity is heated to non-uniform temperature, and the right sloping wall is maintained at a constant cold temperature, while the horizontal walls are kept adiabatic. Findings It is shown that the heat transfer rate increases in non-uniform heating increments, whereby low wave number values are more affected by the convection. The best heat transfer enhancement results from larger side wall inclination angle; however, trapezoidal cavities require longer time compared to that of square to reach steady state. Originality/value The study of natural convection heat transfer in a trapezoidal cavity filled with nanofluid and heated by spatial side-wall temperature has not yet been undertaken. Thus, the authors of the present study believe that this work is valuable.

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