Support Flexibility and Natural Frequencies of Pipe Mounted Thermowells

2015 ◽  
Vol 137 (4) ◽  
Author(s):  
David S. Bartran
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Natural Frequencies ◽  
Pipe Wall ◽  
Simplified Model ◽  
Load Model ◽  
Distributed Load ◽  
Pipe Fittings ◽  
Insight Into ◽  
Design And Application

A simplified model of a pipe mounted thermowell provides a measure of insight into the design and application of intrusive pipe fittings. A combination of Fourier and Green’s function methods together with a distributed load model of the thermowell/pipe wall interface are used to calculate the support compliance and subsequently the natural frequencies of the thermowell. These are compared with limited though independent calculations. This comparison confirms a profound reduction in natural frequencies for commonly encountered thermowell installations, reductions that should not be ignored where the risk of flow-induced resonance is high.

Green’s Function Approach to Nonlinear Conduction and Surface Radiation Problems

2009 ◽  
Vol 132 (2) ◽  
Author(s):  
Matthew R. Jones ◽  
Vladimir P. Solovjov
Keyword(s):  
Steady State ◽  
Green’S Function ◽  
Green's Function ◽  
Transient Analysis ◽  
Radiative Heat ◽  
Surface Radiation ◽  
Temporal Response ◽  
Nonlinear Conduction ◽  
Insight Into ◽  
Transient And Steady State

An exact approach for solving both transient and steady state conduction and surface radiation problems is presented. The method is based on the use of Green’s function, and the temperature field is obtained by solving an integral equation. This is in contrast to the approach presented in radiative heat transfer texts in which temperature profiles are obtained from the simultaneous solution of coupled integral and differential equations. The analysis presented in this paper provides insight into the solution of this important class of problems. The method is illustrated by solving two representative problems. The first problem considered is the steady state analysis of a radiating fin. The second problem considered is the transient analysis of a radiating target, which is used to determine the temporal response of radiation thermometers.

Vibrational frequencies of deuterated ethylenes: Green's function method

1969 ◽  
Vol 22 (2) ◽  
pp. 299 ◽  
Author(s):  
R Ramaswamy ◽  
V Devarajan
Keyword(s):  
Green’S Function ◽  
Molecular Dynamic ◽  
Green's Function ◽  
Function Method ◽  
Function Analysis ◽  
Vibrational Frequencies ◽  
Point Of View ◽  
Green’S Function Method ◽  
Average Rule ◽  
Insight Into

The frequencies of the partly deuterated ethylenes were predicted by the method of Green's function analysis. These values are compared with those obtained by the average rule and complete isotope rule. It is shown that the Green's function analysis gives a better insight into the isotopic rule from the molecular dynamic point of view.

Green’s Function Approach to Nonlinear Conduction and Surface Radiation Problems

2009 ◽  
Author(s):  
Matthew R. Jones ◽  
Vladimir P. Solovjov
Keyword(s):  
Steady State ◽  
Green’S Function ◽  
Green's Function ◽  
Transient Analysis ◽  
Radiative Heat ◽  
Surface Radiation ◽  
Temporal Response ◽  
Nonlinear Conduction ◽  
Insight Into ◽  
Transient And Steady State

An analytical approach for solving both transient and steady state conduction and surface radiation problems is presented. The method is based on the use of a Green’s function, and the temperature field is obtained by solving an integral equation. This is in contrast to the approach presented in radiative heat transfer texts in which temperature profiles are obtained from the simultaneous solution of coupled integral and differential equations. The analysis presented in this paper provides insight into the solution of this important class of problems. The method is illustrated by solving two representative problems. The first problem considered is the steady state analysis of radiating fins, which are frequently incorporated in the design of spacecraft. The second problem considered is the transient analysis of a radiating target, which is used to determine the temporal response of radiation thermometers.

GREEN'S FUNCTION MATCHING METHOD FOR REALISTIC CALCULATIONS OF INTERFACES

1985 ◽  
Vol 46 (C4) ◽  
pp. C4-321-C4-329 ◽  
Author(s):  
E. Molinari ◽  
G. B. Bachelet ◽  
M. Altarelli
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Matching Method

THE ATOMISTIC GREEN'S FUNCTION METHOD FOR INTERFACIAL PHONON TRANSPORT

2014 ◽  
Vol 17 (N/A) ◽  
pp. 89-145 ◽  
Author(s):  
Sridhar Sadasivam ◽  
Yuhang Che ◽  
Zhen Huang ◽  
Liang Chen ◽  
Satish Kumar ◽  
...  
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Function Method ◽  
Phonon Transport ◽  
Green’S Function Method
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