Litcius/Paper detail

Modeling and numerical simulation of a parabolic trough collector using an HTF with temperature dependent physical properties

Amal El Kouche, Francisco Ortegón Gallego

2021Mathematics and Computers in Simulation17 citationsDOIOpen Access PDF

Abstract

This paper describes the mathematical modeling of a parabolic trough collector where the heat transfer fluid has temperature dependent physical properties for which we have developed our own mathematical expressions. For a specific location and date, the direct solar radiation and other sun–earth parameters are computed on a Julian day basis. Also, we have used certain known and recent correlations for the heat transfer coefficients appearing in this model. The mathematical model is governed by three nonlinear partial differential equations of parabolic type with initial/boundary value conditions. We describe a numerical algorithm in order to obtain the approximate solution of this model. Then, we carry out some numerical simulations which yield valuable information for the performance and efficiency of a solar PTC plant at the specific location.

Topics & Concepts

Parabolic troughBoundary value problemPartial differential equationHeat transferNonlinear systemParabolic partial differential equationApplied mathematicsComputer simulationMechanicsMathematicsThermalMathematical analysisPhysicsThermodynamicsQuantum mechanicsSolar Thermal and Photovoltaic SystemsPhotovoltaic System Optimization TechniquesSolar Radiation and Photovoltaics