VARIATION OF PARAMETERS METHOD FOR A THREE-DIMENSIONAL PROBLEM OF CONDENSATION FILM ON AN INCLINED ROTATING DISK

Gungor O., ARSLANTÜRK C.

JOURNAL OF APPLIED MATHEMATICS AND COMPUTATIONAL MECHANICS, cilt.18, sa.1, ss.15-28, 2019 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 18 Sayı: 1
  • Basım Tarihi: 2019
  • Doi Numarası: 10.17512/jamcm.2019.1.02
  • Dergi Adı: JOURNAL OF APPLIED MATHEMATICS AND COMPUTATIONAL MECHANICS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.15-28
  • Anahtar Kelimeler: condensation, rotating inclined disk, nonlinear ordinary differential equations, variation of parameters method
  • Atatürk Üniversitesi Adresli: Evet

Özet

In this paper, the steady three-dimensional problem of condensation film on an inclined rotating disk is considered. The governing nonlinear partial differential equations are reduced to the nonlinear ordinary differential equations system by a similarity transform. The equation system is solved by the variation of parameters method (VPM) which is rather used to solve nonhomogeneous linear differential equations but can also be used to solve nonlinear differential equations. This method has not previously been used to solve a nonlinear condensation problem. The dimensionless velocity and temperature profiles are shown, and the influence of Prandtl number and rotation ratio on the flow field and the Nusselt number are discussed in detail. In order to assess the accuracy of the solutions obtained by this method, the problem is also solved numerically using the Matlab bvp4c solver. The validity of our solutions is verified by the numerical results.