Graetz problem

Graetz problem

[′grets ‚präb·ləm]
(fluid mechanics)
The problem of determining the steady-state temperature field in a fluid flowing in a circular tube when the wall of the tube is held at a uniform temperature and the fluid enters the tube at a different uniform temperature.
References in periodicals archive ?
Topics include the Graetz problem with viscous dissipation for non- Newtonian fluids, the use of graphics software in radiative heat transfer simulation, Atwood number effects in buoyancy-driven flows, analysis of a solar chimney plant design for mountainous regions, and water evaporation from nanoporous cylinder surfaces in natural convective airflow.
Equation 6 and 7 in the absence of viscous dissipation should be recognized as the equation and boundary conditions solved by Leveque [31] as an asymptote to the Graetz problem for heating of laminar pressure flow in a tube.
In their analysis, Zerkle and Sunderland (7) assumed the axial component of velocity to be a parabolic profile throughout the cooling region, and solved the temperature equations as the classical Graetz problem.