Modelling 3D stokes flows in one-sided bumpy curved channels

Författare

  • N.F. Okechi *† Mathematics Programme, National Mathematical Centre Abuja, Nigeria
  • A.G. Ahmad ‡ Department of Applied Mathematics, Federal University of Technology, Babura, Jigawa State, Nigeria
  • D.U. Uche † Mathematics Programme, National Mathematical Centre Abuja, Nigeria.
  • A.O. Salaudeen † Mathematics Programme, National Mathematical Centre Abuja, Nigeria.

Nyckelord:

bumps, radius of curvature, phase shift, flow rate, wave number

Abstract

The mathematical models of 3D flows through curved channels with one-sided bumps are developed. Two channel configurations are considered, namely, the top bumpy wall-smooth wall (T-S) configuration and the smooth wall-bottom bumpy wall (S-B) configuration. The analytical solutions of the complex flow models are given. The dependence of the flows on the parameters of the problems are shown explicitly through the analytical solutions. The present work gives a fundamental insight to describing and understanding flows in channels with protrusions.

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Publicerad

2023-12-09

Referera så här

Okechi *†, N. ., Ahmad ‡, A. ., Uche †, D. ., & Salaudeen † , A. . (2023). Modelling 3D stokes flows in one-sided bumpy curved channels. International Journal of Mathematical Analysis and Modelling, 6(2). Hämtad från https://journal.tnsmb.org/index.php/ijmam/article/view/118

Nummer

Vol 6 Nr 2 (2023): Volume 6, Issue 2 (Oct. - Nov. 2023)

Sektion

Articles