Series solutions of annular axisymmetric stagnation flow and heat transfer on moving cylinder

Antonio Mastroberardino

Research output: Contribution to journalArticle

3 Scopus citations

Abstract

The steady, laminar, incompressible flow and heat transfer of a viscous fluid between two circular cylinders for two different types of thermal boundary conditions are investigated. The governing Navier-Stokes and thermal equations of the flow are reduced to a nonlinear system of ordinary differential equations. The equations are solved analytically using the homotopy analysis method (HAM). Convergence of the HAM solutions is discussed in detail. These solutions are then compared with recently obtained numerical and perturbative solutions. Plots of the velocity and temperature profiles are provided for various values of the relevant parameters.

Original languageEnglish (US)
Pages (from-to)1043-1054
Number of pages12
JournalApplied Mathematics and Mechanics (English Edition)
Volume34
Issue number9
DOIs
StatePublished - Sep 1 2013

All Science Journal Classification (ASJC) codes

  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

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