scholarly journals Thermal Wave Scattering and Temperature Concentration around the Opening in Platinum–Rhodium Leaky Plates

Metals ◽  
2020 ◽  
Vol 10 (7) ◽  
pp. 946
Author(s):  
Weibo Jiang ◽  
Chuanping Zhou ◽  
Zhixian Yang ◽  
Zhi Sun ◽  
Huawei Ji ◽  
...  
Keyword(s):  
Glass Fiber ◽  
Thermal Wave ◽  
Wave Scattering ◽  
Scattering Problem ◽  
Complex Function ◽  
Wave Model ◽  
Mapping Method ◽  
Physical Parameters ◽  
Design And Optimization ◽  
Conformal Mapping Method

Based on the non-Fourier heat conduction wave model, the thermal wave scattering near the opening in the platinum–rhodium glass fiber leaky plate structure is studied by using complex function method and conformal mapping method, and the general solution of the thermal wave scattering problem is given. The boundary condition of the open surface is adiabatic. The influence of the geometrical and physical parameters of the leaky plate on the temperature distribution in the plate is analyzed, and the numerical results of the temperature concentration are given. This study can provide theoretical basis and reference data for the design and optimization of the opening structure of platinum–rhodium glass fiber leaky plate.

scholarly journals Thermal Wave Scattering by an Elliptic Subsurface Hole Buried in a Block, Based on the Non-Fourier Equation

Sensors ◽  
2019 ◽  
Vol 19 (8) ◽  
pp. 1878 ◽  
Author(s):  
Zhou ◽  
Wang
Keyword(s):  
Thermal Wave ◽  
Wave Scattering ◽  
Complex Function ◽  
Mapping Method ◽  
Wave Number ◽  
Engineering Practice ◽  
Physical Parameters ◽  
Temperature Distributions ◽  
Wave Imaging ◽  
Block Based

With the application to engineering practice, the study of the scattering of thermal waves using innovative and comprehensive methods is becoming increasingly important. The thermal wave scattering by an elliptic subsurface hole in a block with two boundaries is discussed based on the non-Fourier heat conduction equation, employing the complex function method and the conformal mapping method, and a general solution for the thermal wave scattering is given. The numerical results of temperature distributions around a subsurface hole are presented and the effects of geometrical and physical parameters on the temperature distributions were analyzed. The wave number, the shape and position of the hole, the scale of the block, and the frequency of the heat load were found to have great effects on distributions and variations of temperature. The findings of this study could be helpful in providing better understandings of infrared thermal wave imaging, the physical inverse problem, and the evaluation of internal holes in materials.

scholarly journals Sensitivity analysis of simplified low cost converging thermal wave technique for thin bilayer solid

2014 ◽  
Vol 3 (3) ◽  
pp. 158
Author(s):  
M. Shahril Shahril Bin Husin
Keyword(s):  
Sensitivity Analysis ◽  
Thermal Wave ◽  
Short Pulse ◽  
Low Cost ◽  
Wave Model ◽  
Physical Parameters ◽  
Transient Heating ◽  
Simple Method ◽  
Short Pulse Laser ◽  
Correlated Parameters

<div><p class="ABSabstract">In this paper, the sensitivity analysis of thermo physical parameters of the semi-infinite bilayer was presented by using a simplified converging thermal wave model. This is done under the consideration that radial flow of converging thermal wave substantially dominates in the first layer and axial thermal wave, dominates in the second layer. The sensitivity of the correlated parameters due to the 5%, 10% and 100% of increment were evaluated.. The results of the calculated temperature were simulated by Mathematica software, in order to generate a sensitivity analysis and examined by graphs. From this analysis, we concluded the optimum conditions, hence to be applied in the real experiment. Our merit on this report is for introducing a simple method of optical transient heating by using low cost equipment such as camera’s flash lamp and thermocouple, which may also apply to the short pulse laser measurement. A brief theory of the present work is presented and the results obtained from the simulation are discussed.</p></div>

The Model for Calculation the Hall Effect Parameter

2004 ◽  
Vol 9 (2) ◽  
pp. 129-138
Author(s):  
J. Kleiza ◽  
V. Kleiza
Keyword(s):  
Magnetic Field ◽  
Field Effect ◽  
Magnetic Field Effect ◽  
Mapping Method ◽  
Sample Thickness ◽  
System Of Nonlinear Equations ◽  
Specific Resistivity ◽  
Conformal Mapping Method ◽  
Effect Parameter ◽  
The Magnetic Field

A method for calculating the values of specific resistivity ρ as well as the product µHB of the Hall mobility and magnetic induction on a conductive sample of an arbitrary geometric configuration with two arbitrary fitted current electrodes of nonzero length and has been proposed an grounded. During the experiment, under the constant value U of voltage and in the absence of the magnetic field effect (B = 0) on the sample, the current intensities I(0), IE(0) are measured as well as the mentioned parameters under the effect of magnetic fields B1, B2 (B1 ≠ B2), i.e.: IE(β(i)), I(β(i)), i = 1, 2. It has been proved that under the constant difference of potentials U and sample thickness d, the parameters I(0), IE(0) and IE(β(i)), I(β(i)), i = 1, 2 uniquely determines the values of the product µHB and specific resistivity ρ of the sample. Basing on the conformal mapping method and Hall’s tensor properties, a relation (a system of nonlinear equations) between the above mentioned quantities has been found.

Mechanisms of Synchronous Belt Tooth Failure due to Fatigue Shear Fracture

2011 ◽  
Vol 86 ◽  
pp. 566-569
Author(s):  
Jian Hua Guo ◽  
Hong Yuan Jiang ◽  
Dong Sheng Li
Keyword(s):  
Conformal Mapping ◽  
Compressive Stress ◽  
Shear Fracture ◽  
Complex Function ◽  
Fatigue Cracking ◽  
Plane Elasticity ◽  
Mapping Method ◽  
Tooth Surface ◽  
Tooth Root ◽  
Shear Cracking

Conformal mapping with complex function based on plane elasticity mechanics is an analytical method for resolving stress and displacement at any point of a half-plane domain. Using complex function conformal mapping method in this article we investigated the relationship between load on tooth surface and maximum stress at tooth root for calculating the maximum compressive stress on the opposite side of working flank and maximum tensile stress on working flank side when loads are applied to tooth top and root of working flank side, respectively. The maximum tensile and compressive stress at the tooth root are the main forces that cause fatigue cracking of the tooth root, which may extend along the elastomer compound-cord interface resulting in shear cracking of the belt tooth. The results of our calculation reveal the mechanisms whereby tooth shear cracking causes fatigue failure of synchronic belt, which are consistent with the experimental research results of Lizuka.

INTEGRABLE MODELS OF FIELD THEORY AND SCATTERING ON QUANTUM HYPERBOLOIDS

1992 ◽  
Vol 07 (05) ◽  
pp. 441-446 ◽  
Author(s):  
A. ZABRODIN
Keyword(s):  
Field Theory ◽  
Symmetric Space ◽  
Quantum Group ◽  
Wave Scattering ◽  
Scattering Problem ◽  
Free Particle ◽  
Compact Quantum Group ◽  
Integrable Models ◽  
S Wave

We consider the scattering of two dressed excitations in the antiferromagnetic XXZ spin-1/2 chain and show that it is equivalent to the S-wave scattering problem for a free particle on the certain quantum symmetric space “quantum hyperboloid” related to the non-compact quantum group SU q (1, 1).

scholarly journals Reconstruction of the thermal properties in a wave-type model of bio-heat transfer

2020 ◽  
Vol 30 (12) ◽  
pp. 5143-5167
Author(s):  
Moataz Alosaimi ◽  
Daniel Lesnic ◽  
Jitse Niesen
Keyword(s):  
Heat Transfer ◽  
Physical Properties ◽  
Thermal Wave ◽  
Wave Model ◽  
Temperature Measurements ◽  
Dimensionless Parameters ◽  
Content Type ◽  
Boundary Temperature ◽  
Dimensional Parameters ◽  
Thermo Physical Properties

Purpose This study aims to at numerically retrieve five constant dimensional thermo-physical properties of a biological tissue from dimensionless boundary temperature measurements. Design/methodology/approach The thermal-wave model of bio-heat transfer is used as an appropriate model because of its realism in situations in which the heat flux is extremely high or low and imposed over a short duration of time. For the numerical discretization, an unconditionally stable finite difference scheme used as a direct solver is developed. The sensitivity coefficients of the dimensionless boundary temperature measurements with respect to five constant dimensionless parameters appearing in a non-dimensionalised version of the governing hyperbolic model are computed. The retrieval of those dimensionless parameters, from both exact and noisy measurements, is successfully achieved by using a minimization procedure based on the MATLAB optimization toolbox routine lsqnonlin. The values of the five-dimensional parameters are recovered by inverting a nonlinear system of algebraic equations connecting those parameters to the dimensionless parameters whose values have already been recovered. Findings Accurate and stable numerical solutions for the unknown thermo-physical properties of a biological tissue from dimensionless boundary temperature measurements are obtained using the proposed numerical procedure. Research limitations/implications The current investigation is limited to the retrieval of constant physical properties, but future work will investigate the reconstruction of the space-dependent blood perfusion coefficient. Practical implications As noise inherently present in practical measurements is inverted, the paper is of practical significance and models a real-world situation. Social implications The findings of the present paper are of considerable significance and interest to practitioners in the biomedical engineering and medical physics sectors. Originality/value In comparison to Alkhwaji et al. (2012), the novelty and contribution of this work are as follows: considering the more general and realistic thermal-wave model of bio-heat transfer, accounting for a relaxation time; allowing for the tissue to have a finite size; and reconstructing five thermally significant dimensional parameters.

A conformal-mapping method for predicting the thermal properties of U-shaped borehole heat-exchangers

Geothermics ◽  
2014 ◽  
Vol 50 ◽  
pp. 66-75 ◽  
Author(s):  
Nai-Wen Liang ◽  
Ching-Hsien Lai ◽  
Chien-Yeh Hsu ◽  
Yuan-Ching Chiang ◽  
Chih-Chung Chang ◽  
...  
Keyword(s):  
Thermal Properties ◽  
Conformal Mapping ◽  
Heat Exchangers ◽  
Mapping Method ◽  
Conformal Mapping Method ◽  
Borehole Heat Exchangers
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