Electrical analogy of transient heat flow in laser rods

1974 ◽  
Vol 3 (3) ◽  
pp. 205-212 ◽  
Author(s):  
Kurt R. Richter ◽  
Walter Koechner
Keyword(s):  
Heat Flow ◽  
Transient Heat Flow ◽  
Electrical Analogy

The Solution of Transient Heat-flow Problems by Analogous Electrical Networks

1953 ◽  
Vol 167 (1) ◽  
pp. 275-290 ◽  
Author(s):  
D. I. Lawson ◽  
J. H. McGuire
Keyword(s):  
Heat Conduction ◽  
Heat Flow ◽  
Series Resistance ◽  
Electrical Networks ◽  
Detailed Design ◽  
Flow Problems ◽  
Transient Heat Flow ◽  
Electrical Analogy ◽  
In Series

The design of a machine for solving heat-conduction problems by their electrical analogy with the flow of current in series-resistance, shunt-capacity, networks, is described in this paper. Consideration is given to the representation of cooling by radiation and convection, and the detailed design of the circuits is discussed.

Microstructural Evolution during the Directional Transient Solidification of a Hypomonotectic Al-0.9wt%Pb Alloy

2012 ◽  
Vol 730-732 ◽  
pp. 829-834
Author(s):  
Adrina P. Silva ◽  
Pedro R. Goulart ◽  
José Eduardo Spinelli ◽  
Amauri Garcia
Keyword(s):  
Growth Rate ◽  
Heat Flow ◽  
Thermal Parameters ◽  
Cooling Curves ◽  
Flow Conditions ◽  
Directionally Solidified ◽  
Microstructural Transition ◽  
Transient Heat Flow ◽  
Growth Laws ◽  
Casting Length

In the present study a hypomonotectic Al-0.9wt%Pb alloy was directionally solidified under transient heat flow conditions and the microstructure evolution was analyzed. The solidification thermal parameters such as the growth rate, the cooling rate and the temperature gradient were experimentally determined by cooling curves recorded by thermocouples positioned along the casting length. The monotectic structure was characterized by metallography and a microstructural transition was observed. From the casting cooled surface up to a certain position in the casting the microstructure was characterized by well-distributed Pb-rich droplets in the aluminum-rich matrix, followed by a mixture of fibers and strings of pearls from this point to the top of the casting. The interphase spacing (λ) and the diameter of Pb-rich particles were also measured along the casting length and experimental growth laws relating these microstructural features to the experimental thermal parameters are proposed.

scholarly journals Transient heat flow from a thin circular disk — small-time solution

1972 ◽  
Vol 14 (4) ◽  
pp. 433-442 ◽  
Author(s):  
J. H. Blackwell
Keyword(s):  
Heat Flow ◽  
Analytical Solution ◽  
Constant Temperature ◽  
Approximate Analytical Solution ◽  
Circular Disk ◽  
Small Time ◽  
Infinite Medium ◽  
First Approximation ◽  
Time Solution ◽  
Transient Heat Flow

SummaryIn a previous paper [1] an approximate analytical solution, useful for large times, was obtained for the transient heat flow from a thin circular disk held at constant temperature and immersed in an infinite medium. In the present work a first approximation has been found for the complementary “small-time” solution and the details of this solution examined. Some numerical calculations are included.

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