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

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. ⃝c 2021 TheAuthor(s). Published by ElsevierB.V. on behalf of InternationalAssociation forMathematics andComputers in Simulation (IMACS). This is an open access article under theCCBY-NC-ND license