Engineering Mechanics

Proceedings Vol. 9 (2003)

ENGINEERING MECHANICS 2003

Copyright © 2003 Institute of Theoretical and Applied Mechanics, Academy of Sciences of the Czech Republic, v.v.i., Prague

 

Mík V.
pages 206 - +8p., full text

An analytical-numerical model of the velocity and temperature field was created, whose parameters are expressed as functions of the thickness of the hydrodynamic and thermal boundary layers. This model converts the set of specific partial differential equations to a set of ordinary differential equations that are always valid in one of three regions into which the entrance region is divided by above mentioned boundary layers. Within the individual regions, these equations can be integrated and the algebraic equations obtained are then solved numerically. The model was tested for isothermal flow, where the calculated thickness of the velocity boundary layers agreed with the published values. In addition, the calculated tube wall temperatures exhibited excellent agreement with the values obtained experimentally. This model was employed to study the effect of the temperature dependent viscosity on changes of flow in the entrance region of a circular tube heated by constant heat flux.

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