Transient Thermal Stresses in a Circular Cylinder

1961 ◽  
Vol 28 (1) ◽  
pp. 25-34 ◽  
Author(s):  
C. K. Youngdahl ◽  
Eli Sternberg
Keyword(s):  
Exact Solution ◽  
Temperature Distribution ◽  
Cross Sections ◽  
Thermal Stresses ◽  
Transient Temperature ◽  
Definite Integrals ◽  
Transient Temperature Distribution ◽  
Transient Thermal ◽  
Finite Band ◽  
Uniform Change

This paper contains an exact solution for the transient temperature distribution, as well as for the accompanying quasi-static thermal stresses and deformations, which arise in an infinitely long elastic circular shaft if its surface temperature undergoes a sudden uniform change over a finite band between two cross sections and is steadily maintained thereafter. The solution given is in the form of definite integrals and infinite series, whose convergence is discussed. Extensive illustrative numerical results are included.

A photothermoelastic investigation of transient thermal stresses in wing ribs

1972 ◽  
Vol 7 (2) ◽  
pp. 117-124 ◽  
Author(s):  
E Matsumoto ◽  
S Sumi ◽  
T Sekiya
Keyword(s):  
Temperature Distribution ◽  
Thermal Stresses ◽  
Three Dimensional ◽  
Composite Model ◽  
New Technique ◽  
Transient Temperature ◽  
Transient Temperature Distribution ◽  
Transient Thermal

The photothermoelastic method of refrigeration has been used to study the problem of a long beam under transient temperature distribution and good correlation with the theoretical values has been obtained. The new technique for three-dimensional photothermoelasticity, which uses a composite model made of photoelastically sensitive and insensitive materials, is suggested for the analysis of idealized wing-rib structures.

Thermal Shock on a Finite Disk Due to an Instantaneous Point Heat Source

1969 ◽  
Vol 36 (1) ◽  
pp. 113-120 ◽  
Author(s):  
T. R. Hsu
Keyword(s):  
Exact Solution ◽  
Temperature Distribution ◽  
Heat Source ◽  
Thermal Stresses ◽  
Circular Disk ◽  
Transient Temperature ◽  
Nuclear Technology ◽  
Point Heat Source ◽  
Transient Temperature Distribution ◽  
Instantaneous Point

This paper contains an exact solution for the transient temperature distribution and the associated quasi-static thermal stresses and deformations which arise in a finite circular disk subjected to an instantaneous point heat source acting on its periphery. The solutions given are in the form of double infinite series, and extensive illustrative numerical results are included. The solutions are pertinent to problems which occur in welding engineering and in modern nuclear technology.

scholarly journals Determination of temperature and thermal stresses distribution in power boiler elements with use inverse heat conduction method

2011 ◽  
Vol 32 (3) ◽  
pp. 191-200 ◽  
Author(s):  
sławomir Grądziel
Keyword(s):  
Boundary Condition ◽  
Heat Conduction ◽  
Temperature Distribution ◽  
Thermal Stresses ◽  
Thermal Boundary Condition ◽  
Transient Temperature ◽  
Inverse Heat Conduction ◽  
Transient Temperature Distribution ◽  
Power Boiler

Determination of temperature and thermal stresses distribution in power boiler elements with use inverse heat conduction method The following paper presents the method for solving one-dimensional inverse boundary heat conduction problems. The method is used to estimate the unknown thermal boundary condition on inner surface of a thick-walled Y-branch. Solution is based on measured temperature transients at two points inside the element's wall thickness. Y-branch is installed in a fresh steam pipeline in a power plant in Poland. Determination of an unknown boundary condition allows for the calculation of transient temperature distribution in the whole element. Next, stresses caused by non-uniform transient temperature distribution and by steam pressure inside a Y-branch are calculated using the finite element method. The proposed algorithm can be used for thermal-strength state monitoring in similar elements, when it is not possible to determine a 3-D thermal boundary condition. The calculated temperature and stress transients can be used for the calculation of element durability. More accurate temperature and stress monitoring will contribute to a substantial decrease of maximal stresses that occur during transient start-up and shut-down processes.

Transient Thermal Stresses in a Semi-Infinite Slab

1960 ◽  
Vol 27 (1) ◽  
pp. 93-103 ◽  
Author(s):  
W. Jaunzemis ◽  
E. Sternberg
Keyword(s):  
Thermal Stresses ◽  
Heat Conduction Problem ◽  
Theory Of Elasticity ◽  
Transient Temperature ◽  
Finite Segment ◽  
Infinite Slab ◽  
In Series ◽  
Transient Thermal ◽  
External Loads ◽  
Uniform Change

This investigation is concerned with the transient temperature and thermal-stress distribution generated in a semi-infinite slab if a finite segment of its edge is subjected to a sudden uniform change in temperature. The slab is supposed to be free from external loads and its faces are assumed to be insulated. Exact solutions in series form are obtained both for the heat-conduction problem and for the associated thermoelastic problem. The latter is treated quasi-statically within the classical two-dimensional theory of elasticity. The thermal stresses appropriate to the generalized plane-stress solution vanish identically in the limit as time tends to infinity. The space and time dependence of these stresses is examined in some detail with a view toward tracing the evolution of this well-known, steady-state degeneracy. Finally, the results corresponding to an instantaneous heating or cooling of a portion of the boundary are used to study the effect upon the stresses of gradual changes in the surface temperature.

Transient Thermal Stresses on a Finite Disk Due to a Continuous Point Heat Source

1970 ◽  
Vol 92 (2) ◽  
pp. 357-365 ◽  
Author(s):  
T. R. Hsu
Keyword(s):  
Heat Source ◽  
Thermal Stresses ◽  
Circular Disk ◽  
Transient Temperature ◽  
Point Heat Source ◽  
Finite Radius ◽  
Transient Temperature Distribution ◽  
Instantaneous Point ◽  
Continuous Point ◽  
Transient Thermal

This paper contains exact solutions for the transient temperature distribution and the associated quasi-static thermal stresses and deformations which arise in a thin circular disk of finite radius subjected to a continuous point heat source acting on its periphery. It has been proven in this paper that the solutions of this type of problem may be obtained by integrating the time variable of the corresponding solutions in the case of an instantaneous point heat source. The solutions are given in the form of double infinite series and graphical representations of the solutions in dimensionless terms are included. Reference is made to methods of applying the solutions to shapes other than disks. The solutions are pertinent to problems which occur in welding engineering and modern nuclear technology.

scholarly journals Mathematical Model of Transient Temperature Distribution and Thermal Stresses in Large Steam Turbine Rotors

1982 ◽  
Author(s):  
J. Sasiadek ◽  
C. K. Kwok
Keyword(s):  
Mathematical Model ◽  
Temperature Distribution ◽  
Temperature Gradient ◽  
Thermal Stresses ◽  
Transient Temperature ◽  
Load Variation ◽  
Transient Temperature Distribution ◽  
Start Up ◽  
On Line ◽  
Turbine Rotors

The most important problems encountered in power plants are related to cold start-up, hot start-up, daily and seasonal variation in load. These problems are specially critical for high power units above 525°C and 10.5 MN/m2. As a result of higher thermal capacity of the thicker components in larger power units, the temperature gradient and thermal stresses assumed much higher values. It is, therefore, particularly important during transient operation conditions to know the temperature distribution and thermal stresses of rotors. One of the most common concerns is how fast can a turbine be started without significant damage. If the turbine is loaded very rapidly, high temperature gradient and excessive thermal stresses can easily damage the machine. A concept was developed whereby an on-line computer was used to control the start-up and load variation operations of the turbine. The feasibility of such concept depends upon the knowledge of the instantaneous temperature distribution and thermal stresses of the turbine rotors. This paper presents a 2-D mathematical model of the transient temperature distribution as well as thermal stresses of the rotor. The mathematical model was simulated in the computer and ADI method was used for the solution of the governing equations. Discussions will be made of the procedure of coupling this mathematical model with on-line computer for optimum control of start-up and load variation schedule.

Experimental and Numerical Investigation of Temperature Fields in a Radial Turbine Wheel

2014 ◽  
Author(s):  
Mathias Diefenthal ◽  
Hailu Tadesse ◽  
Christian Rakut ◽  
Manfred Wirsum ◽  
Tom Heuer
Keyword(s):  
Temperature Distribution ◽  
Thermal Stresses ◽  
Commercial Vehicle ◽  
Temperature Fields ◽  
Transient Temperature ◽  
Turbine Wheel ◽  
Numerical Investigations ◽  
Transient Temperature Distribution ◽  
Transient Temperature Field ◽  
Transient Operations

Due to increasing demands on the efficiency of modern Otto and Diesel engines, turbochargers are subjected to higher temperatures. In consequence rotor speed and temperature gradients in transient operations are more severe and therefore thermal and centrifugal stresses increase. To determine the life cycle of turbochargers more precisely, the exact knowledge of the transient temperature distribution in the turbine wheel is essential. To assess these temperature distributions, experimental and numerical investigations on a turbocharger of a commercial vehicle were performed. For this purpose, four thermocouples were applied on the shaft and the turbine wheel. The measured temperatures are used to determine the boundary conditions for the numerical calculations and to validate the results. In the numerical investigations three methods are used to determine and to analyse the transient solid body temperature distribution in respect of the fluid. The methods are compared and evaluated using the measured data. Based on the calculations the transient temperature field is discussed and conclusions concerning to the thermal stresses are drawn.

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