The Effect of Depth-Dependent Velocity on the Performance of a Nanofluid-Based Direct Absorption Solar Collector

  • Gary J. O’Keeffe
  • Sarah L. Mitchell
  • Tim G. Myers
  • Vincent Cregan
Conference paper
Part of the Mathematics in Industry book series (MATHINDUSTRY, volume 26)


In this paper we present a two-dimensional model for the efficiency of an inclined nanofluid-based direct absorption solar collector. The model consists of a system of two differential equations; a radiative transport equation describing the propagation of solar radiation through the nanofluid and an energy equation. The Navier-Stokes equations are solved by applying no-slip boundary conditions to give a depth-dependent velocity profile. The heat source term is approximated via a power law approximation. The energy equation is solved numerically and the resulting solution is then used to calculate the efficiency. We investigate the effect of depth-dependent velocity and show how it affects the temperature, and thus the efficiency.



Authors would like to acknowledge the funding provided by the Irish Research Council (GOIPG/2014/887), and the Mathematics for Industry Network COST Action TD1409 (COST-STSM-TD1409-30261), which made this research possible.


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Copyright information

© Springer International Publishing AG, part of Springer Nature 2017

Authors and Affiliations

  • Gary J. O’Keeffe
    • 1
  • Sarah L. Mitchell
    • 1
  • Tim G. Myers
    • 2
  • Vincent Cregan
    • 2
  1. 1.Department of Mathematics and StatisticsUniversity of LimerickLimerickIreland
  2. 2.Centre de Recerca MatemáticaBarcelonaSpain

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