Study of Heat Transfer in the Absorber Plates of a Flat-Plate Solar Collector Using Dual-Phase-Lag Model
The present work numerically analyzes the transient heat transfer in the absorber plates of a flat-plate solar collector based on the dual-phase-lag (DPL) heat conduction model. An efficient numerical scheme involving the hybrid application of the Laplace transform and control volume methods is used to solve the linear hyperbolic heat conduction equation. This work also examines the effect of different medium parameters on the behavior of heat transfer. Results show that, while the heat-flux phase lag induces thermal waves in the medium, the temperature-gradient phase lag smoothens the thermal waves by promoting non-Fourier diffusion-like conduction into the medium.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1125005Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 808
 B. Kundu, “Performance and optimum design analysis of an absorber plate fin using recto-trapezoidal profile,” Solar Energy, vol. 62, pp. 22–32, 2008.
 D.-Y. Tzou, “A unified field approach for heat conduction from macro- to micro-scales,” ASME J. Heat Transfer, vol. 117, pp. 8–16, 1995.
 D.-Y. Tzou, “Experimental support for the lagging response in heat propagation,” AIAA J. Thermophys. Heat Transfer, vol. 9, pp. 686–693, 1995.
 K.-Q. Hu and Z.-T. Chen, “Transient heat conduction analysis of a cracked half-plane using dual-phase-lag theory,” Int. J. Heat Mass Transfer, vol. 62, pp. 445–451, 2013.
 H.-L. Lee, W.-L. Chen, W.-J. Chang, E.-J. Wei, and Y.-C. Yang, “Analysis of dual-phase-lag heat conduction in short-pulse laser heating of metals with a hybrid method,” Appl. Therm. Eng., vol. 52, pp. 275–283, 2013.
 K.-C. Liu and J.-C.Wang, “Analysis of thermal damage to laser irradiated tissue based on the dual-phase-lag model,” Int. J. Heat Mass Transfer, vol. 70, pp. 621–628, 2014.
 N. Afrin, Y. Zhang, J.-K. Chen, “Dual-phase lag behavior of a gas-saturated porous-medium heated by a short-pulsed laser,” Int. J. Therm. Sciences, vol. 75, pp. 1–27, 2014.
 B. Kundu, K.-S. Lee, “Fourier and non-Fourier heat conduction analysis in the absorber plates of a flat-plate solar collector,” Solar Energy, vol. 86, pp. 3030–3039, 2012.
 R. T. Al-Khairy, “Analytical solution of the hyperbolic heat conduction equation for a moving finite medium under the effect of time dependent laser heat source,” ASME J. Heat Transfer, vol. 134, pp. 122402-1–122402-7, 2012.
 H.-L. Lee, T.-H. Lai, W.-L. Chen, and Y.-C. Yang, “An inverse hyperbolic heat conduction problem in estimating surface heat flux of a living skin tissue,” Appl. Math. Model., vol. 37, no. 5, pp. 2630–2643, 2013.
 K.-C. Liu, Y.-N. Wang, and Y.-S. Chen, “Investigation on the bio-heat transfer with the dual-phase-lag effect,” Int. J. Therm. Sciences, vol. 58, pp. 29–35, 2012.
 H.-L. Lee, W.-L. Chen, W.-J. Chang, and Y.-C. Yang, “Estimation of energy absorption rate and temperature distributions in short-pulse laser heating of metals with a dual-phase-lag model,” Appl. Therm. Eng., vol. 65, no. 1–2, pp. 352–360, 2014.
 Y.-C. Yang, H.-L. Lee, J.-C. Hsu, and S.-S. Chu, “Thermal stresses in multilayer gun barrel with interlayer thermal contact resistance,” J. Therm. Stresses, vol. 31, pp. 624–637, 2008.
 T.-S. Wu, H.-L. Lee, W.-J. Chang, and Y.-C. Yang, “An inverse hyperbolic heat conduction problem in estimating pulse heat flux with a dual-phase-lag model,” Int. Comm. Heat Mass Transfer, vol. 60, pp. 1–8, 2015.