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Viscous heating in forced convective heat transfer across a circular cylinder at low reynolds number
Author(s) -
Sunden Bengt
Publication year - 1992
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620350407
Subject(s) - prandtl number , reynolds number , mathematics , mechanics , stream function , heat transfer , cylinder , adiabatic process , vorticity , classical mechanics , physics , geometry , thermodynamics , turbulence , vortex
The influence of viscous heating on forced convective heat transfer from a circular cylinder in cross flow is investigated numerically. The Reynolds number is in the range of 5–40 and the Prandtl number is 0.72, corresponding to air. The Navier–Stokes equations and the continuity equations are solved in two dimensions using the streamfunction‐vorticity formulation. In the energy equation the dissipation of mechanical energy into thermal energy is taken into account. All equations are cast into a non‐dimensional form. The numerical solution procedure is based on second‐order finite difference approximations and an implicit formulation is employed. The far field boundary conditions of the flow field are satisfied by matching to asymptotic solutions. The resulting algebraic equations are solved by an iterative relaxation technique. In particular, temperature distributions for an adiabatic wall boundary condition are presented.