Mathematical Modeling and Parametric Study of a Continuous Solar Desalination System

2013 ◽  
Vol 135 (3) ◽  
Author(s):  
Amir Rahimi ◽  
Elias Movassagh
Keyword(s):  
Heat Transfer ◽  
Radiative Heat ◽  
Glass Temperature ◽  
New Approach ◽  
Significant Parameter ◽  
Solar Desalination ◽  
Transfer Equations ◽  
Increase Productivity ◽  
System Length ◽  
Counter Current

A mathematical model is presented to analyze the performance of a counter-current solar desalination system. Besides, the heat transfer equations, the mass transfer is also considered to improve the model precision. A new approach is used for analyzing the radiative heat transfer in these systems. A low enough value for feed flow rate, a moderate value for glass temperature, taking the advantage of high flux at the appropriate time and appropriate insulation of the floor could effectively increase productivity. The system length is also a significant parameter. The model can be sufficiently extended for other continuous solar desalination systems.

NUMERICAL PASSAGE FROM RADIATIVE HEAT TRANSFER TO NONLINEAR DIFFUSION MODELS

2001 ◽  
Vol 11 (05) ◽  
pp. 749-767 ◽  
Author(s):  
A. KLAR ◽  
C. SCHMEISER
Keyword(s):  
Heat Transfer ◽  
Radiative Heat Transfer ◽  
Nonlinear Diffusion ◽  
Radiative Heat ◽  
Mean Free Path ◽  
Rigorous Results ◽  
Asymptotic Preserving ◽  
Milne Problem ◽  
Transfer Equations ◽  
Radiative Transfer Equations

Radiative heat transfer equations including heat conduction are considered in the small mean free path limit. Rigorous results on the asymptotic procedure leading to the equilibrium diffusion equation for the temperature are given. Moreover, the nonlinear Milne problem describing the boundary layer is investigated and an existence result is proven. An asymptotic preserving scheme for the radiative transfer equations with the diffusion scaling is developed. The scheme is based on the asymptotic analysis. It works uniformly for all ranges of mean free paths. Numerical results for different physical situations are presented.

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