RBF simulation of natural convection in a nanofluid-filled cavity

Geridönmez B.

AIMS MATHEMATICS, vol.1, no.3, pp.195-207, 2016 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 1 Issue: 3
  • Publication Date: 2016
  • Doi Number: 10.3934/math.2016.3.195
  • Journal Name: AIMS MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.195-207
  • Keywords: radial basis functions, multiquadrics, differential quadrature method, nanofluid, natural convection, HEAT-TRANSFER ENHANCEMENT, ENTROPY GENERATION, SQUARE CAVITY, ENCLOSURE, FLOW
  • TED University Affiliated: Yes


In this study, natural convection in a cavity filled with a nanofluid is solved numerically utilizing a radial basis function pseudo spectral (RBF-PS) approach in the space domain and a differential quadrature method (DQM) in the time domain. The governing dimensionless equations are solved in terms of stream function, temperature and vorticity. In the cavity, thermally insulated top and bottom walls are maintained while the left and right walls are at constant temperatures.Numerical solutions present the average Nusselt number variation as well as streamlines, isotherms and vorticity contours. The non-dimensional problem parameters, Rayleigh number RaRa, solid volume fraction chi and aspect ratio ARAR are varied as 10(3) <= Ra <= 10(6), 0 <= chi <= 0.2 and AR = 0.25, 0.5, 1, 2, 4, respectively.It is found that the fluid velocity and the heat transfer are enhanced in presence of nanoparticles, and the convective heat transfer is reduced in a rectangular cavity.