#5445. Modeling and numerical simulation of a parabolic trough collector using an HTF with temperature dependent physical properties

August 2026publication date
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Journal’s subject area:
Numerical Analysis;
Applied Mathematics;
Computer Science (all);
Modeling and Simulation;
Theoretical Computer Science;
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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.
Keywords:
Direct solar radiation; Finite element method; Heat transfer fluid; Nonlinear system of parabolic partial differential equations; Numerical simulation; Parabolic trough collector; Predictor–corrector method

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