Mixed convection above a rotating disk Articles uri icon

authors

  • ARRIETA SANAGUSTIN, JORGE
  • BLYTH, M.G

publication date

  • August 2013

start page

  • 317

end page

  • 331

issue

  • 3

volume

  • 66

International Standard Serial Number (ISSN)

  • 0033-5614

Electronic International Standard Serial Number (EISSN)

  • 1464-3855

abstract

  • Mixed convection above a horizontal disk rotating in a semi-infinite fluid is examined when the disk is heated so that its temperature varies quadratically with distance away from its centre. Steady similarity solutions are presented for a range of values of the two dimensionless parameters, a Prandtl number and a Grashof number. The results are corroborated by asymptotic analyses undertaken in the limits of small and large Prandtl number. For finite Prandtl number, the existence of multiple solutions at fixed Grashof number is revealed. The similarity structure for steady solutions fails beyond a critical Grashof number and this is interpreted in terms of a finite-time singularity of the unsteady form of the governing equations.

keywords

  • mathematics; applied; heat transfer; stagnation point; mechanics; swirling flows