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

Antonio Mastroberardino

Research output: Contribution to journalArticle

3 Citations (Scopus)

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

Fingerprint

Homotopy Analysis Method
Series Solution
Heat Transfer
Heat transfer
Temperature Profile
Circular Cylinder
Velocity Profile
Incompressible Flow
Navier-Stokes
System of Ordinary Differential Equations
Viscous Fluid
Nonlinear Systems
Incompressible flow
Circular cylinders
Boundary conditions
Ordinary differential equations
Nonlinear systems
Fluids
Temperature
Hot Temperature

All Science Journal Classification (ASJC) codes

  • Applied Mathematics
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

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Series solutions of annular axisymmetric stagnation flow and heat transfer on moving cylinder. / Mastroberardino, Antonio.

In: Applied Mathematics and Mechanics (English Edition), Vol. 34, No. 9, 01.09.2013, p. 1043-1054.

Research output: Contribution to journalArticle

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