Journal
INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW
Volume 27, Issue 6, Pages 1282-1303Publisher
EMERALD GROUP PUBLISHING LTD
DOI: 10.1108/HFF-03-2016-0085
Keywords
Absorber plate; Corrugated wall; Double diffusive; Glass covers; Solar collector; Unsteady heat transfer
Funding
- International Scientific Partnership Program ISPP at King Saud University [0012]
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Purpose - The purpose of this investigation is to determine the nature of the flow field, temperature distribution and heat and mass transfer in a triangular solar collector enclosure with a corrugated bottom wall in the unsteady condition numerically. Design/methodology/approach - Non-linear governing partial differential equations (i.e. mass, momentum, energy and concentration equations) are transformed into a system of integral equations by applying the Galerkin weighted residual method. The integration involved in each of these terms is performed using Gauss' quadrature method. The resulting non-linear algebraic equations are modified by the imposition of boundary conditions. Finally, Newton's method is used to modify non-linear equations into the linear algebraic equations. Findings - Both the buoyancy ratio and thermal Rayleigh number play an important role in controlling the mode of heat transfer and mass transfer. Originality/value - Calculations are performed for various thermal Rayleigh numbers, buoyancy ratios and time periods. For each specific condition, streamline contours, isotherm contours and iso-concentration contours are obtained, and the variation in the overall Nusselt and Sherwood numbers is identified for different parameter combinations.
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