N.Anbuchezhian, K.Srinivasan, K.Chandrasekaran, R.Kandasamy. Thermophoresis and Brownian Motion Effects on Boundary-Layer Flow of a Nanofluid in the Presence of Thermal Stratification Due to Solar Energy[J]. Applied Mathematics and Mechanics, 2012, 33(6): 726-739. doi: 10.3879/j.issn.1000-0887.2012.06.007
Citation: N.Anbuchezhian, K.Srinivasan, K.Chandrasekaran, R.Kandasamy. Thermophoresis and Brownian Motion Effects on Boundary-Layer Flow of a Nanofluid in the Presence of Thermal Stratification Due to Solar Energy[J]. Applied Mathematics and Mechanics, 2012, 33(6): 726-739. doi: 10.3879/j.issn.1000-0887.2012.06.007

Thermophoresis and Brownian Motion Effects on Boundary-Layer Flow of a Nanofluid in the Presence of Thermal Stratification Due to Solar Energy

doi: 10.3879/j.issn.1000-0887.2012.06.007
  • Received Date: 2011-07-14
  • Rev Recd Date: 2011-12-05
  • Publish Date: 2012-06-15
  • The problem of laminar fluid flow resulted from the stretching of a vertical surface with variable stream conditions in a nanofluid due to solar energ was investigated numerically. The model used for the nanofluid incorporated the effects of Brownian motion and thermophoresis in the presence of thermal stratification. The symmetry groups admitted by the corresponding boundary value problem were obtained by using a special form of Lie group transformations viz. scaling group of transformations. An exact solution was obtained for translation symmetry and numerical solutions for scaling symmetry. This solution depended on a Lewis number, Brownian motion parameter, thermal stratification parameter and thermophoretic parameter. The conclusion was drawn that the flow field and temperature and nanoparticle volume fraction profiles were significantly influenced by these parameters. Nanofluids were shown to increase the thermal conductivity and convective heat transfer performance of the base liquids. Nanoparticles in the base fluid also offered the potential of improving the radiative properties of the liquids, leading to an increase in the efficiency of direct absorption solar collectors.
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