Thermoelastic state of an infinite plate weakened by a variable heat flow

1985 ◽  
Vol 21 (1) ◽  
pp. 73-78
Author(s):  
I. I. Bernar
Keyword(s):  
Heat Flow ◽  
Infinite Plate ◽  
Thermoelastic State ◽  
Variable Heat ◽  
Variable Heat Flow

Cylindrical probe with a variable heat flow rate: A new method for the determination of formation thermal conductivity

2013 ◽  
Vol 5 (4) ◽  
Author(s):  
Lev Eppelbaum ◽  
Izzy Kutasov
Keyword(s):  
Thermal Conductivity ◽  
Heat Flow ◽  
Flow Rate ◽  
Dry Density ◽  
Heat Flow Rate ◽  
Cylindrical Probe ◽  
Variable Heat ◽  
Variable Heat Flow

AbstractThe thermal conductivity of a geological formation is one of the important petrophysical parameters which are preferable to study in situ in geophysical well logs. A new technique for the determination of formation thermal conductivity has been developed. We assumed that formation dry density, porosity, and pore fluids saturations could be determined from core samples or cuttings. In this case the specific heat and density of a formation can be quantitatively estimated. It is also assumed that the instantaneous heat flow rate and time data are available for a cylindrical probe with a variable heat flow rate placed in a wellbore. A semi-theoretical equation describing the temperature of the probe’s wall is used to determine in situ the formation conductivity as a function of the temperature increase. The formation thermal diffusivity is also calculated. A field example is presented.

scholarly journals On the Thermal Stresses of an Infinite Plate with an Infinite Row of Circular Inclusions under Uniform Heat Flow

1980 ◽  
Vol 23 (180) ◽  
pp. 849-856 ◽  
Author(s):  
Hidekazu ARAKI ◽  
Shunsuke SHIOYA ◽  
Mitsumasa MATSUDA
Keyword(s):  
Heat Flow ◽  
Thermal Stresses ◽  
Infinite Plate ◽  
Uniform Heat

Interfacial Stresses of a Coated Square Hole Induced by a Remote Uniform Heat Flow

2020 ◽  
Vol 12 (06) ◽  
pp. 2050063
Author(s):  
S. C. Tseng ◽  
C. K. Chao ◽  
F. M. Chen
Keyword(s):  
Heat Flow ◽  
Shape Factor ◽  
Coating Layer ◽  
Infinite Plate ◽  
Interfacial Stress ◽  
Graphical Form ◽  
Shear Stresses ◽  
Interfacial Stresses ◽  
Uniform Heat ◽  
Square Hole

This paper presents an analytical solution of a coated square hole embedded in an isotropic infinite plate under a remote uniform heat flow. Based on conformal mapping, analytic continuation theorem and the alternation technique, temperature and stress functions are derived in a compact series form. Results of temperature contours and interfacial stresses are validated using the finite element method. The comparison indicates the high accuracy of the proposed method. Numerical results of both the interfacial normal and shear stresses for different properties and geometric parameters of a coated layer are provided in a graphical form. The results indicate that the interfacial stresses are highly dependent on the thermal expansion coefficient, thickness of the coating layer and shape factor of the coated square hole. In conclusion, the interfacial shear stresses exhibit a significant increase at the corners with abrupt geometrical changes, which would cause the delamination of the coating layer system. Furthermore, increasing the thickness of the coating layer and the shape factor results in a higher interfacial stress.

scholarly journals The calculation of variable heat flow in solids

1946 ◽  
Vol 240 (813) ◽  
pp. 1-57 ◽  
Keyword(s):  
Thermal Properties ◽  
Heat Flow ◽  
Analytical Solutions ◽  
Numerical Evaluation ◽  
Formal Solution ◽  
Industrial Processes ◽  
Laboratory Work ◽  
Engineering Practice ◽  
Direct Experiment ◽  
Variable Heat Flow

In many contexts, in laboratory work, in industrial processes and in engineering practice, situations arise in which it is required to determine the flow of heat in bodies under nonsteady conditions. In some cases this can be done by direct experiment, and a few cases are sufficiently simple for formal analytical solutions of the appropriate equations to be obtained and evaluated. But direct experiment is often difficult or impossible, especially under practical conditions of manufacture or operation; and often the conditions of the problem, such as inhomogeneity or the shape of the material, or variation of its thermal properties with temperature, either make the formal solution so complicated that its numerical evaluation is impracticable, or put a formal solution out of the question altogether.

AN INFINITE PLATE WITH A FLAW AND SUBJECTED TO UNIFORM HEAT FLOW

1979 ◽  
Vol 2 (3-4) ◽  
pp. 341-351 ◽  
Author(s):  
Takashi Koizumi ◽  
Kazuo Takakuda ◽  
Toshikazu Shibuya ◽  
Takao Nishizawa
Keyword(s):  
Heat Flow ◽  
Infinite Plate ◽  
Uniform Heat
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