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Models of transient heat transfer for central tower receivers: A review

Solar Power Tower (SPT) receivers are the most critical component of a SPT power plant, as they receive high incident solar flux on their external face while having a corrosive environment on their internal side. Due to the transient nature of solar energy, a steady-state analysis does not accuratel...

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Main Authors: Marti, Juliette, Antón, Javier Muñoz, Servert, Jorge
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description Solar Power Tower (SPT) receivers are the most critical component of a SPT power plant, as they receive high incident solar flux on their external face while having a corrosive environment on their internal side. Due to the transient nature of solar energy, a steady-state analysis does not accurately reflect the stresses on the receiver. Current CFD models of the receivers do not simulate the whole receiver, because doing so requires solving models of high computational cost, with meshes of around 8x108 elements. The computational cost of a CFD simulation is directly proportional to the number of elements of the mesh, especially for transient simulations; that is why simplified, but mostly accurate models, are being designed, at least for the initial steps of the receiver design. Some analytical models for external, cavity, and volumetric type receivers subject to transient heat flux have been proposed,. Some authors have used as reference the steady-state external receiver model created by Sánchez-González et al. Xu et al. proposed a 3-D model to simulate the dynamic thermal performance of an external molten salt solar receiver, that could show the temperature distribution evolution after the receiver's exposition to a varying solar flux, the HTF (Heat Transfer Fluid) flow rate, the wind speed and the ambient temperature. Too et al. used an optical-thermal model to investigate transient behavior due to short-time DNI fluctuations. Fritsch et al. compared a simple FEM model to a more complex CFD one. Cagnoli et al. implemented a time-dependent, quasi-1-D system-level model. Samanes and Garcia-Barberena elaborated a model with Modelica, with a 1-D fluid flow configuration through the panels. Zhang et al. used dynamic method called Transfer Function Method (TFM), a second- order differential equation that does not require intermediate temperatures values to predict the outlet temperature of the HTF. Yu et al. proposed a model for a cavity receiver designed for direct stream generation. Zhang et al. divided their model of cavity receiver in four sub-models: thermal conduction in the tube; thermal convection from the outer tube surfaces to the air inside the cavity; thermal radiation heat transfer inside the cavity; thermal convection from the inner surface of the tube to the fluid inside the tube. Wu and Wang studied a volumetric solar air receiver where the volumetric element was a ceramic foam, using semi-empirical equations that describe the behavior of a
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Xu et al. proposed a 3-D model to simulate the dynamic thermal performance of an external molten salt solar receiver, that could show the temperature distribution evolution after the receiver's exposition to a varying solar flux, the HTF (Heat Transfer Fluid) flow rate, the wind speed and the ambient temperature. Too et al. used an optical-thermal model to investigate transient behavior due to short-time DNI fluctuations. Fritsch et al. compared a simple FEM model to a more complex CFD one. Cagnoli et al. implemented a time-dependent, quasi-1-D system-level model. Samanes and Garcia-Barberena elaborated a model with Modelica, with a 1-D fluid flow configuration through the panels. Zhang et al. used dynamic method called Transfer Function Method (TFM), a second- order differential equation that does not require intermediate temperatures values to predict the outlet temperature of the HTF. Yu et al. proposed a model for a cavity receiver designed for direct stream generation. Zhang et al. divided their model of cavity receiver in four sub-models: thermal conduction in the tube; thermal convection from the outer tube surfaces to the air inside the cavity; thermal radiation heat transfer inside the cavity; thermal convection from the inner surface of the tube to the fluid inside the tube. Wu and Wang studied a volumetric solar air receiver where the volumetric element was a ceramic foam, using semi-empirical equations that describe the behavior of a turbulent flow in a porous medium. Reddy and Nataraj used a similar mathematical model, in 2-D and applying Gaussian heat flux. 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Xu et al. proposed a 3-D model to simulate the dynamic thermal performance of an external molten salt solar receiver, that could show the temperature distribution evolution after the receiver's exposition to a varying solar flux, the HTF (Heat Transfer Fluid) flow rate, the wind speed and the ambient temperature. Too et al. used an optical-thermal model to investigate transient behavior due to short-time DNI fluctuations. Fritsch et al. compared a simple FEM model to a more complex CFD one. Cagnoli et al. implemented a time-dependent, quasi-1-D system-level model. Samanes and Garcia-Barberena elaborated a model with Modelica, with a 1-D fluid flow configuration through the panels. Zhang et al. used dynamic method called Transfer Function Method (TFM), a second- order differential equation that does not require intermediate temperatures values to predict the outlet temperature of the HTF. Yu et al. proposed a model for a cavity receiver designed for direct stream generation. Zhang et al. divided their model of cavity receiver in four sub-models: thermal conduction in the tube; thermal convection from the outer tube surfaces to the air inside the cavity; thermal radiation heat transfer inside the cavity; thermal convection from the inner surface of the tube to the fluid inside the tube. Wu and Wang studied a volumetric solar air receiver where the volumetric element was a ceramic foam, using semi-empirical equations that describe the behavior of a turbulent flow in a porous medium. Reddy and Nataraj used a similar mathematical model, in 2-D and applying Gaussian heat flux. 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subjects Aerodynamics
Ambient temperature
Computational efficiency
Computational fluid dynamics
Computing costs
Critical components
Differential equations
Empirical equations
Finite element method
Flow velocity
Fluid flow
Free convection
Heat transfer
Mathematical models
Receivers
Semiempirical equations
Simulation
Solar collectors
Steady state
Temperature
Temperature distribution
Thermal analysis
Thermal radiation
Three dimensional models
Transfer functions
Turbulent flow
Two dimensional models
title Models of transient heat transfer for central tower receivers: A review
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