RT journal article T1 Modeling and numerical simulation of a parabolic trough collector using an HTF with temperature dependent physical properties A1 El Kouche, Amal A1 Ortegón Gallego, Francisco A2 Matemáticas K1 Parabolic trough collector K1 Direct solar radiation K1 Heat transfer fluid K1 Nonlinear system of parabolic partial differential equations K1 Numerical simulation K1 Predictor–corrector method K1 Finite element method AB This paper describes the mathematical modeling of a parabolic trough collector where the heat transfer fluid has temperaturedependent physical properties for which we have developed our own mathematical expressions. For a specific location anddate, the direct solar radiation and other sun–earth parameters are computed on a Julian day basis. Also, we have used certainknown and recent correlations for the heat transfer coefficients appearing in this model. The mathematical model is governed bythree nonlinear partial differential equations of parabolic type with initial/boundary value conditions. We describe a numericalalgorithm in order to obtain the approximate solution of this model. Then, we carry out some numerical simulations whichyield 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 inSimulation (IMACS). This is an open access article under theCCBY-NC-ND license PB ELSEVIER SN 0378-4754 YR 2022 FD 2022-02 LK http://hdl.handle.net/10498/25720 UL http://hdl.handle.net/10498/25720 LA eng DS Repositorio Institucional de la Universidad de Cádiz RD 13-nov-2026