Dimensional analysis natural convection

Obtain by dimensional analysis a functional relationship for the wall heat transfer coefficient for a fluid flowing through a straight pipe of circular cross-section. Assume that the effects of natural convection can be neglected in comparison with those of forced convection. 

By dimensional analysis, derive a relationship for the heat transfer coefficient h for natural convection between a surface and a fluid on the assumption that the coefficient is a function of the following variables ... 

Dimensional analysis shows that, in the treatment of natural convection, the dimensionless Grashof number, which represents the ratio of buoyancy to viscous forces, is often important. The definition of the Grashof number, Gr, is... 

Dimensional Analysis for Mass Transfer by Natural Convection in Finite Space... 

We begin this section by analyzing the case of free convection in an infinite medium. The example chosen is shown in Fig. 6.7. A two-dimensional surface with constant temperature tp transfers heat to the adjacent infinite media. As a result of the temperature difference between the surface and the media, a natural convection flow is induced. A dimensional analysis applied to this problem shows that ... 

G. D. Raithby and K. G. T. Hollands, Analysis of Heat Transfer by Natural Convection (or Him Condensation) for Three-Dimensional Flows, Proc. 6th Int. Heat Transfer Conf, Hemisphere Publishing, Washington, DC, vol. 2, pp. 187-192,1978. 

For both forced and natural convection, relations have been obtained by dimensional analysis which suggest that a correlation of experimental data may be in terms of three variables instead of the original six. This reduction in variables has aided investigators who have developed correlations for estimating convective mass-transfer coefficients in a variety of situations. 

Natural convection to blunt bodies such as cylinders (2-dimensional) and spheres (3-dimensional) has been studied by Acrivos (9) and from his analysis one can show that these configurations are characterized by constant boundary-layer thicknesses. For 2-dimensional bodies,... 

Dimensional Analysis for Natural Convection. Repeat the dimensional analysis... 

The purpose of the Natural convection high-pressure loop CAPCN is mainly to study the thermal-hydraulic dynamic response of CAREM primary loop, including all coupled phenomena that may be described by one-dimensional models. This includes the validation of calculation codes on models of the rig, and the extension of validated models to the analysis of the CAREM reactor. Activities were performed and are on going in order to validate thermal-hydraulic tools. 

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