The Analysis of Fin Assembly Heat Transfer by a Series Truncation Method

1982 ◽  
Vol 104 (1) ◽  
pp. 210-212 ◽  
Author(s):  
P. J. Heggs ◽  
D. B. Ingham ◽  
M. Manzoor
Keyword(s):  
Heat Transfer ◽  
Truncation Method ◽  
Series Truncation Method

scholarly journals The Two-Dimensional Heat Transfer Analysis in Arrayed Fins with the Thermal Dissipation Substrate

2015 ◽  
Vol 2015 ◽  
pp. 1-9
Author(s):  
Hai-Ping Hu
Keyword(s):  
Heat Transfer ◽  
Thermal Dissipation ◽  
Heat Transfer Analysis ◽  
Dimensionless Temperature ◽  
Two Dimensional ◽  
Governing Equations ◽  
Point Matching ◽  
Truncation Method ◽  
Laplace Equations ◽  
Series Truncation Method

The aim of the present study is to investigate the two-dimensional heat transfer analysis in arrayed fins with thermal dissipation substrate. The governing equations for the fins and the substrate are expressed with Laplace equations, and the boundary conditions around the fins and substrate are Robin conditions. The present investigation first aims to provide a solution with regard to the geometry models by a series truncation method. Then the research will compare the results of the series truncation method with the point-matching method. Furthermore, the present study will also discuss the effects of dimension and Biot number of the fins on local dimensionless temperature, mean temperature, and heat transfer rate.

Steady flows inside and around a fluid sphere at low Reynolds numbers

1985 ◽  
Vol 154 ◽  
pp. 215-230 ◽  
Author(s):  
D. L. R. Oliver ◽  
J. N. Chung
Keyword(s):  
Drag Coefficient ◽  
Nonlinear Differential Equations ◽  
Equations Of Motion ◽  
Reynolds Numbers ◽  
Steady Flows ◽  
Low Reynolds Numbers ◽  
Truncation Method ◽  
Low Reynolds ◽  
Analytical Series ◽  
Series Truncation Method

The effects of internal circulation in bubbles and droplets have been analysed by means of a semi-analytical series-truncation method. The equations of motion are transformed into a series of coupled, ordinary, nonlinear differential equations by use of orthogonal sets. These infinite-series equations are then truncated adequately and solved numerically. Using this series-truncation method, we have evaluated the effects of different ratios (between the continuous and dispersed phases) of both density and viscosity for the flows of low Reynolds numbers. For all the density ratios investigated, the density difference has almost no effect on the drag coefficient at low Reynolds numbers. The shear stress and the drag coefficient increase with increasing viscosity ratio of droplet to ambience and decrease with increasing Reynolds number.

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