Transient Temperature Distribution in Round and Slab-Type Loads Heated by Electric Induction

1971 ◽  
Vol 93 (1) ◽  
pp. 110-118 ◽  
Author(s):  
Robert J. Kasper
Keyword(s):  
Temperature Distribution ◽  
Initial Distribution ◽  
Transient Temperature ◽  
Uniform Temperature ◽  
Radiation Boundary Condition ◽  
Transient Temperature Distribution ◽  
Electric Induction ◽  
Induction Process ◽  
Steel Sections ◽  
Radiation Boundary

Equations are derived for the transient temperature distribution in a round or slab-type load with a radiation boundary condition, as required for a thermal analysis of large steel sections heated for forging, by electric induction. The load is assumed to be initially at a uniform temperature and then has heat generated in it by the induction process. Initial distribution curves of the derived transient corrections are compared with the steady-state induced thermal wave shapes that would exist at various heating frequencies if not dampened by the transient correction.

Constant Temperature at the Surface of an Initially Uniform Temperature, Variable Conductivity Half Space

1971 ◽  
Vol 93 (1) ◽  
pp. 55-60 ◽  
Author(s):  
Leonard Y. Cooper
Keyword(s):  
Temperature Distribution ◽  
Half Space ◽  
Constant Temperature ◽  
Analytic Solutions ◽  
Numerical Results ◽  
Transient Temperature ◽  
Uniform Temperature ◽  
Transient Temperature Distribution ◽  
Temperature Variable ◽  
Variable Conductivity

The transient temperature distribution resulting from a constant and uniform temperature being imposed on the surface of an initially uniform temperature, variable conductivity half space is studied. Various solution expansion ideas are discussed. These are utilized in the solution of an example problem, and the resulting approximate analytic solutions representations are compared to exact numerical results. One of these approximations is found to be superior to the others, and, in fact, it is shown to yield useful results over a range of variables where the nonlinearities of the problem are significant.

Transient Cooling of a Sphere in Space

1970 ◽  
Vol 92 (1) ◽  
pp. 180-182 ◽  
Author(s):  
D. L. Ayers
Keyword(s):  
Temperature Distribution ◽  
Finite Difference ◽  
Nonlinear Problem ◽  
Solid Sphere ◽  
Temperature History ◽  
Graphical Form ◽  
Transient Temperature ◽  
Uniform Temperature ◽  
Transient Temperature Distribution ◽  
Wide Range

A method is presented for determining the transient temperature distribution of a solid sphere cooling in space. The sphere is assumed initially to be at a uniform temperature and then instantaneously subjected to the radiation sink of space at time zero. This nonlinear problem was solved by using finite-difference computing techniques. Results are presented in dimensionless graphical form over a wide range of variables. This facilitates calculation of the transient temperature history at several points in the sphere.

Transient Temperature Distribution in Partially Filled Rotating Horizontal Cylinders

1986 ◽  
Vol 53 (2) ◽  
pp. 436-439 ◽  
Author(s):  
J. J. Blech ◽  
I. Green ◽  
J. Kopelman
Keyword(s):  
Temperature Distribution ◽  
Viscous Fluid ◽  
Initial Conditions ◽  
Outer Boundary ◽  
Rotating Cylinder ◽  
Transient Temperature ◽  
Cylinder Surface ◽  
Uniform Temperature ◽  
Transient Temperature Distribution ◽  
Horizontal Cylinders

The transient temperature distribution in an infinitely long horizontal rotating cylinder which is partially filled by a viscous fluid is calculated. Thermal boundary and initial conditions are such that the fluid starts from a uniform temperature, and that the outer boundary (cylinder surface) is isothermal at a different temperature. Nondimensional analysis shows that the problem can be fully described by a properly defined Fourier modulus and a normalized bubble eccentricity.

Direct observation of three-dimensional transient temperature distribution in SiC Schottky barrier diode under operation by optical-interference contactless thermometry (OICT) imaging

2022 ◽  
Author(s):  
Keiya Fujimoto ◽  
Hiroaki Hanafusa ◽  
Takuma Sato ◽  
Seiichiro HIGASHI
Keyword(s):  
Temperature Distribution ◽  
Schottky Barrier ◽  
Hot Spot ◽  
Local Heating ◽  
Three Dimensional ◽  
Schottky Barrier Diode ◽  
Transient Temperature ◽  
Optical Interference ◽  
Transient Temperature Distribution ◽  
Heating And Cooling

Abstract We have developed optical-interference contactless thermometry (OICT) imaging technique to visualize three-dimensional transient temperature distribution in 4H-SiC Schottky barrier diode (SBD) under operation. When a 1 ms forward pulse bias was applied, clear variation of optical interference fringes induced by self-heating and cooling were observed. Thermal diffusion and optical analysis revealed three-dimensional temperature distribution with high spatial (≤ 10 μm) and temporal (≤ 100 μs) resolutions. A hot spot that signals breakdown of the SBD was successfully captured as an anormal interference, which indicated a local heating to a temperature as high as 805 K at the time of failure.

Measurement of Transient Temperature Distribution at Anode Surface After Current Zero in Vacuum Interrupter

2021 ◽  
Vol 141 (11) ◽  
pp. 712-717
Author(s):  
Akira Daibo ◽  
Yoshimitsu Niwa ◽  
Naoki Asari ◽  
Wataru Sakaguchi ◽  
Yo Sasaki ◽  
...  
Keyword(s):  
Temperature Distribution ◽  
Anode Surface ◽  
Transient Temperature ◽  
Vacuum Interrupter ◽  
Transient Temperature Distribution ◽  
Current Zero

scholarly journals Exact Solution of Heat Transport Equation for a Heterogeneous Geothermal Reservoir

Energies ◽  
2018 ◽  
Vol 11 (11) ◽  
pp. 2935 ◽  
Author(s):  
Sayantan Ganguly
Keyword(s):  
Temperature Distribution ◽  
Transport Equation ◽  
Heat Transport ◽  
Transport Processes ◽  
Geothermal Reservoir ◽  
Transient Temperature ◽  
Thermal Front ◽  
Transient Temperature Distribution ◽  
Heat Transport Equation ◽  
Geothermal Aquifer

An exact integral solution for transient temperature distribution, due to injection-production, in a heterogeneous porous confined geothermal reservoir, is presented in this paper. The heat transport processes taken into account are advection, longitudinal conduction and conduction to the confining rock layers due to the vertical temperature gradient. A quasi 2D heat transport equation in a semi-infinite porous media is solved using the Laplace transform. The internal heterogeneity of the geothermal reservoir is expressed by spatial variation of the flow velocity and the effective thermal conductivity of the medium. The model results predict the transient temperature distribution and thermal-front movement in a geothermal reservoir and the confining rocks. Another transient solution is also derived, assuming that longitudinal conduction in the geothermal aquifer is negligible. Steady-state solutions are presented, which determine the maximum penetration of the cold water thermal front into the geothermal aquifer.

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