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Journal articles on the topic 'Point heat source'

Author: Grafiati

Published: 3 June 2025

Last updated: 31 July 2025

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1

Booker, J. R., and C. Savvidou. "Consolidation around a point heat source." International Journal for Numerical and Analytical Methods in Geomechanics 9, no. 2 (1985): 173–84. http://dx.doi.org/10.1002/nag.1610090206.

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2

Kannatey-Asibu, Elijah. "Thermal Aspects of the Split-Beam Laser Welding Concept." Journal of Engineering Materials and Technology 113, no. 2 (1991): 215–21. http://dx.doi.org/10.1115/1.2903395.

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The high cooling rates normally encountered in the application of high intensity welding processes such as laser beam welding is often detrimental to the weldment, especially for high hardenability steels. To minimize this effect, the split-beam laser welding concept is proposed and analyzed. The analysis shows that even when the intensity of the single heat source is the same as the intensity of each of the dual heat sources, the resulting cooling rate at any specific temperature is lower for the dual source process than the single source process. For example, for mild steel, the cooling rate

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3

Hu, Qing-Qing, Feng-Fei Jin, and Bao-Qiang Yan. "Boundary Stabilization of Heat Equation with Multi-Point Heat Source." Mathematics 9, no. 8 (2021): 834. http://dx.doi.org/10.3390/math9080834.

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In this paper, we consider boundary stabilization problem of heat equation with multi-point heat source. Firstly, a state feedback controller is designed mainly by backstepping approach. Under the designed state controller, the exponential stability of closed-loop system is guaranteed. Then, an observer-based output feedback controller is proposed. We prove the exponential stability of resulting closed-loop system using operator semigroup theory. Finally, the designed state and output feedback controllers are effective via some numerical simulations.

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4

Wen, Jun, and M. M. Khonsari. "Analytical Formulation for the Temperature Profile by Duhamel’s Theorem in Bodies Subjected to an Oscillatory Heat Source." Journal of Heat Transfer 129, no. 2 (2005): 236–40. http://dx.doi.org/10.1115/1.2424236.

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An analytical technique is presented for treating heat conduction problems involving a body experiencing oscillating heat flux on its boundary. The boundary heat flux is treated as a combination of many point heat sources, each of which emits heat intermittently based on the motion of the flux. The working function of the intermittent heat source with respect to time is evaluated by using the Fourier series and temperature profile of each point heat source is derived by using the Duhamel’s theorem. Finally, by superposition of the temperature fields over all the point heat sources, the tempera

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5

Cui, C., X. Y. Huang, and C. Y. Liu. "The Green Function and Its Application to Heat Transfer in a Low Permeability Porous Channel." Journal of Electronic Packaging 122, no. 3 (1999): 274–78. http://dx.doi.org/10.1115/1.1287929.

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This paper describes an analytical technique for heat transfer in a low permeability porous channel with initially a point heat source and then multiple discrete sources. The solution of the temperature field for the point source is derived as a Green function, from which the temperature field for other geometrical heat sources can be obtained by using the Green integral. An application of the Green function and Green integral to the porous channel with discrete heat sources is presented. The results are compared with the existing numerical results and good agreements are achieved. [S1043-7398

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6

Berest, Pierre. "POINT SOURCE OF HEAT IN AN ELASTOPLASTIC MEDIUM." Journal of Thermal Stresses 9, no. 3 (1986): 237–49. http://dx.doi.org/10.1080/01495738608961902.

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7

Ayoola, W. A., W. J. Suder, and S. W. Williams. "Comparison of Theoretical Disc and Point Source Profiles with Actual-Melt Source Profile in Conduction Welding." Nigerian Journal of Technological Development 19, no. 3 (2022): 260–65. http://dx.doi.org/10.4314/njtd.v19i3.8.

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Prediction of fusion zone in numerical modelling of welds using a modified heat transfer model requires experimental results for validation. Primarily, the modified heat transfer models are developed from the point and disc source heat models which can be assumed to be a semi-circle or spherical shape. In this study, a simple relationship between melt areas, the depth of penetration and weld width was proposed for point and disc source profiles to represent the actual weld profile. The results obtained for focused and defocused laser beams indicate that the actual weld profile is closer to a p

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8

Liu, Zhi-Ke, Han-Ling Li, and Bing-Yang Cao. "Topology optimization of heat source distribution for volume-to-point heat conduction." International Communications in Heat and Mass Transfer 138 (November 2022): 106304. http://dx.doi.org/10.1016/j.icheatmasstransfer.2022.106304.

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9

Yilbas, B. S., and A. Y. Al-Dweik. "Analytical solution to laser short-pulse heating of microsized metal wire: volumetric and surface heat source considerations." Canadian Journal of Physics 90, no. 9 (2012): 911–18. http://dx.doi.org/10.1139/p2012-087.

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Analytical solution for laser short-pulse heating of a micro-sized metal wire is presented. In the analysis, volumetric and surface heat sources are incorporated for the same pulse intensity. The volumetric heat source resembles absorption by irradiated field according to Lambert’s Beer law while a surface heat source represents short pulse heating through high intensity thermal contact at the surface. The method of Lie point symmetries is combined with a Fourier cosine transformation to solve the temperature equation with appropriate boundary conditions. It is found that temperature profiles

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10

Singh, H. P., D. D. Tripathi, and R. B. Mishra. "Structure of a point heat source near an interface." Computers & Mathematics with Applications 14, no. 8 (1987): 623–27. http://dx.doi.org/10.1016/0898-1221(87)90187-8.

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11

Chaudhry, Aqeel Afzal, Jörg Buchwald, Olaf Kolditz, and Thomas Nagel. "Consolidation around a point heat source (correction and verification)." International Journal for Numerical and Analytical Methods in Geomechanics 43, no. 18 (2019): 2743–51. http://dx.doi.org/10.1002/nag.2998.

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12

Lai, Kai-Yuan, Yu-Tang Lee, Miao-Ru Chen, and Yao-Hsien Liu. "Comparison of the Trilateral Flash Cycle and Rankine Cycle with Organic Fluid Using the Pinch Point Temperature." Entropy 21, no. 12 (2019): 1197. http://dx.doi.org/10.3390/e21121197.

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Low-temperature heat utilization can be applied to waste heat from industrial processes or renewable energy sources such as geothermal and ocean energy. The most common low-temperature waste-heat recovery technology is the organic Rankine cycle (ORC). However, the phase change of ORC working fluid for the heat extraction process causes a pinch-point problem, and the heat recovery cannot be efficiently used. To improve heat extraction and power generation, this study explored the cycle characteristics of the trilateral flash cycle (TFC) in a low-temperature heat source. A pinch-point-based meth

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13

Ortega, Alfonso, and Shankar Ramanathan. "On the Use of Point Source Solutions for Forced Air Cooling of Electronic Components—Part I: Thermal Wake Models for Rectangular Heat Sources." Journal of Electronic Packaging 125, no. 2 (2003): 226–34. http://dx.doi.org/10.1115/1.1569506.

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Analytical solutions are presented for the temperature field that arises from the application of a source of heat on an adiabatic plate or board when the fluid is represented as a uniform flow with an effective turbulent diffusivity, i.e., the so-called UFED flow model. Solutions are summarized for a point source, a one-dimensional strip source, and a rectangular source of heat. The ability to superpose the individual kernel solutions to obtain the temperature field due to multiple sources is demonstrated. The point source solution reveals that the N−1 law commonly observed for the centerline

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14

Tan, B. K., X. Y. Huang, T. N. Wong, and K. T. Ooi. "A study of multiple heat sources on a flat plate heat pipe using a point source approach." International Journal of Heat and Mass Transfer 43, no. 20 (2000): 3755–64. http://dx.doi.org/10.1016/s0017-9310(00)00016-8.

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15

Hou, Zhen-Bing, and R. Komanduri. "Magnetic Field Assisted Finishing of Ceramics—Part I: Thermal Model." Journal of Tribology 120, no. 4 (1998): 645–51. http://dx.doi.org/10.1115/1.2833761.

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A thermal model for magnetic field assisted polishing of ceramic balls/rollers is presented. The heat source at the area of contact between the balls and the abrasives where material removal takes place is approximated to a disk. The disk heat source is considered as a combination of a series of concentric circular ring heat sources with different radii. Each ring in turn is considered as a combination of a series of infinitely small arc segments and each arc segment as a point heat source. Jaeger’s classical moving heat source theory (Jaeger, 1942; Carslaw and Jaeger, 1959) is used in the dev

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16

Fu, Yong Zheng, Ming Liu Xu, and Yang Jiao. "Analysis of the Zero-Pressure-Difference Point and Determination of the Pump Head in Distributed Power System." Applied Mechanics and Materials 353-356 (August 2013): 2625–30. http://dx.doi.org/10.4028/www.scientific.net/amm.353-356.2625.

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Using pressure diagram to analyze the pressure distribution of distributed power system when the zero-pressure-difference point is in different positions. Conclusions can be drawn as follows: the zero-pressure-difference point should be between the critical point and heat source to eliminate the energy consumption of regulators. And as a result the transmission energy consumption of the system becomes lowest. When the zero-pressure-difference point is in different positions between the critical point and heat source, arrangements of pumps of the system are different. But the total output power

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17

Lefèvre, Frédéric, and Christophe Le Niliot. "The BEM for point heat source estimation: application to multiple static sources and moving sources." International Journal of Thermal Sciences 41, no. 6 (2002): 536–45. http://dx.doi.org/10.1016/s1290-0729(02)01347-9.

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18

Yang, Xiao-Mei, and Zhi-Liang Deng. "A Point Source Identification Problem for a Time Fractional Diffusion Equation." Advances in Mathematical Physics 2013 (2013): 1–8. http://dx.doi.org/10.1155/2013/485273.

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An inverse source identification problem for a time fractional diffusion equation is discussed. The unknown heat source is supposed to be space dependent only. Based on the use of Green’s function, an effective numerical algorithm is developed to recover both the intensities and locations of unknown point sources from final measurements. Numerical results indicate that the proposed method is efficient and accurate.

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19

Qing-Cheng, Wang, Wu Zhao-Chun, and Zhu Xiang-Ping. "The study of the temperature field in an infinite slab under line and plane heat source." International Journal of Numerical Methods for Heat & Fluid Flow 25, no. 1 (2015): 25–32. http://dx.doi.org/10.1108/hff-06-2013-0192.

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Purpose – The purpose of this paper is to reveal the characteristics of the temperature field under different types of heat sources, which are significant to the temperature control encountered in practical manufacturing processes. Design/methodology/approach – The temperature fields in an infinite slab under line or plane heat source are calculated numerically by control volume approach and ADI scheme, and the numerical results of the temperature rise have been compared among the different types of the heat sources. Findings – The numerical results show the different changing patterns of temp

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20

Wen, Jun, and M. M. Khonsari. "Transient Temperature Involving Oscillatory Heat Source With Application in Fretting Contact." Journal of Tribology 129, no. 3 (2007): 517–27. http://dx.doi.org/10.1115/1.2736435.

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An analytical approach for treating problems involving oscillatory heat source is presented. The transient temperature profile involving circular, rectangular, and parabolic heat sources undergoing oscillatory motion on a semi-infinite body is determined by integrating the instantaneous solution for a point heat source throughout the area where the heat source acts with an assumption that the body takes all the heat. An efficient algorithm for solving the governing equations is developed. The results of a series simulations are presented, covering a wide range of operating parameters including

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21

Ye, Fuli, and Gui Lian Shi. "Clinical Breast Cancer Analysis with Surface Fitting in the Medical Thermal Texture Maps." Applied Mechanics and Materials 263-266 (December 2012): 2454–57. http://dx.doi.org/10.4028/www.scientific.net/amm.263-266.2454.

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This thesis tries to calculate quantity and distribution of heat source in vivo from body surface temperature. A superposition temperature image of a number of point heat sources is surface fitted to get the Q of heat sources (information of cancer cells) quantitatively. More precisely, surface fitting the surface of temperature distribution based on T formula of multiple heat sources with MTLAB software. The result can reflect the disease area information because cancer cell’s Q value is much higher than that of normal cell. This application is a new try in the diagnosis of breast cancer, has

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22

Ortega, Alfonso, and Shankar Ramanathan. "On the Use of Point Source Solutions for Forced Air Cooling of Electronic Components—Part II: Conjugate Forced Convection From a Discrete Rectangular Source on a Thin Conducting Plate." Journal of Electronic Packaging 125, no. 2 (2003): 235–43. http://dx.doi.org/10.1115/1.1569507.

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A model for uniform parallel flow over the surface of a rectangular source of heat on a conducting plate is used to demonstrate the use of analytic Green’s functions to formulate the conjugate problem. The Green’s functions are solutions to the temperature field that arises from a point source of heat on the surface. They provide a relationship between the local heat flux and surface temperature on the plate, effectively serving the same role as the heat transfer coefficient. By coupling the pointwise Green’s function to a finite element discretization of the thin plate, the surface temperatur

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23

Tzou, D. Y., and J. Li. "Thermal Waves Emanating From a Fast-Moving Heat Source With a Finite Dimension." Journal of Heat Transfer 115, no. 3 (1993): 526–32. http://dx.doi.org/10.1115/1.2910718.

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Characteristics of thermal waves emanating from a fast-moving heat source are studied in this paper. The heat source is assumed to occupy a finite region to model real situations in local heating. Analytical solutions are obtained respectively for a heat source moving in the subsonic, transonic, and supersonic regimes. The Green’s functions obtained previously from a point source are used to generate temperature distributions for all cases. The temperature jump across the shock surface is found to be weaker than the case with a point heat source, while the swinging phenomenon for the temperatu

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24

Zhou, Jie, Dongdong Zhan, Jiyu Qian, and Tao Wei. "Experimental research on the thermal performance of the dry conduction plate for multi-point electronic chips." Journal of Physics: Conference Series 2728, no. 1 (2024): 012004. http://dx.doi.org/10.1088/1742-6596/2728/1/012004.

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Abstract This paper designs a dry conductive heat dissipation method using several parallel heat pipes to solve the difficulty of the thermal management problem of multi-point electronic chips. The heat sources are distributed along the heat pipe, whose heat is efficiently conducted from the middle to the cold plate on the two sides. The effect of gravity, flow rate, and heat source distributions on the heat transfer performance is studied. The testing data indicated that gravity has less effect on the conduction performance of heat pipes for the cooling on two sides. As the heat sources conce

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25

Xie, Yanmei, Caihong Ma, Yindi Zhao, et al. "The Potential of Using SDGSAT-1 TIS Data to Identify Industrial Heat Sources in the Beijing–Tianjin–Hebei Region." Remote Sensing 16, no. 5 (2024): 768. http://dx.doi.org/10.3390/rs16050768.

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It is crucial to detect and classify industrial heat sources for sustainable industrial development. Sustainable Development Science Satellite 1 (SDGSAT-1) thermal infrared spectrometer (TIS) data were first introduced for detecting industrial heat source production areas to address the difficulty in identifying factories with low combustion temperatures and small scales. In this study, a new industrial heat source identification and classification model using SDGSAT-1 TIS and Landsat 8/9 Operational Land Imager (OLI) data was proposed to improve the accuracy and granularity of industrial heat

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26

Ma, Caihong, Xin Sui, Yi Zeng, et al. "Classification of Industrial Heat Source Objects Based on Active Fire Point Density Segmentation and Spatial Topological Correlation Analysis in the Beijing–Tianjin–Hebei Region." Sustainability 14, no. 18 (2022): 11228. http://dx.doi.org/10.3390/su141811228.

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The development of industrial infrastructure in the Beijing–Tianjin–Hebei(BTH) region has been accompanied by a disorderly expansion of industrial zones and other inappropriate development. Accurate industrial heat source classification data become important to evaluate the policies of industrial restructuring and air quality improvement. In this study, a new classification of industrial heat source objects model based on active fire point density segmentation and spatial topological correlation analysis in the BTH Region was proposed. First, industrial heat source objects were detected with a

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27

Klein, Samuel, Henrique Fernandes, and Hans-Georg Herrmann. "Estimating Thermal Material Properties Using Solar Loading Lock-in Thermography." Applied Sciences 11, no. 7 (2021): 3097. http://dx.doi.org/10.3390/app11073097.

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This work investigates the application of lock-in thermography approach for solar loading thermography applications. In conventional lock-in thermography, a specimen is subjected to a periodically changing heat flux. This heat flux usually enters the specimen in one of three ways: by a point source, a line source or an extended source (area source). Calculations based on area sources are particularly well suited to adapt to solar loading thermography, because most natural heat sources and heat sinks can be approximated to be homogenously extended over a certain region of interest. This is of p

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28

Wu, Zhao-Chun, and Dao-Lai Cheng. "Temperature distribution of an infinite slab under point heat source." Thermal Science 18, no. 5 (2014): 1597–601. http://dx.doi.org/10.2298/tsci1405597w.

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The temperature field in an infinite slab under an instantaneous or continuous point heat source is studied numerically. The numerical results reveal the temperature distribution and its change regularity, which are significant for the temperature control encountered in many practical manufacturing processes, such as the laser treatment processes on the surface of films, welding and cutting, and even the design of measuring devices for thermal properties of material.

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Bratukhin, Yu K., S. O. Makarov, and A. I. Mizyov. "Oscillating thermocapillary convection regimes driven by a point heat source." Fluid Dynamics 35, no. 2 (2000): 232–41. http://dx.doi.org/10.1007/bf02831431.

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30

Chao, C. K., and L. Y. Kuo. "THERMOELASTIC PROBLEM OF CURVILINEAR CRACK WITH A POINT HEAT SOURCE." Journal of Thermal Stresses 17, no. 2 (1994): 271–73. http://dx.doi.org/10.1080/01495739408946259.

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31

Wyman, D. R., W. M. Whelan, and B. C. Wilson. "Interstitial laser photocoagulation: Nd:YAG 1064 nm optical fiber source compared to point heat source." Lasers in Surgery and Medicine 12, no. 6 (1992): 659–64. http://dx.doi.org/10.1002/lsm.1900120615.

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32

Delfaure, Colin, Jean-Paul Mazellier, Nicolas Tranchant, Philippe Bergonzo, Pascal Ponard, and Samuel Saada. "Nanofocus diamond X-ray windows: Thermal modeling of nano-sized heat source systems." Diamond And Related Materials 59 (September 28, 2015): 104–15. https://doi.org/10.5281/zenodo.49966.

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An analytical thermal model is proposed to study heat transfers occurring at high power density in X-ray tubes with micron to submicron sized source. The use of a simple analytical approach instead of a complex numerical simulation allows readily modeling of more andmore challenging systems such as multi-source X-ray tubes. By significantly reducing the computing time, it enables a wider parameter range evaluation for engineering phase.We focused our work on tubes integrating a transmission window that is mainly edge-cooled. Our approach can be generally used in cylindrical lateral heat spread

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33

Stefanowicz, Ewelina, Małgorzata Szulgowska-Zgrzywa, and Natalia Fidorów-Kaprawy. "Analysis of the ground-source heat pump operation with various heat-carrier fluids in the lower heat source." E3S Web of Conferences 44 (2018): 00168. http://dx.doi.org/10.1051/e3sconf/20184400168.

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In the paper the analysis of the operation of ground-source heat pump with various heat-carrier fluids circulating in boreholes was made. The authors considered several aspects related to the heat-carrier fluid selection (freezing point, heat transfer capabilities, toxicity, pumping costs). The lower heat source analysis had been performed in Earth Energy Designer (EED) software. The analyses’ results reliability was assured by the ground-source model calibration made basing on the measurement data from on-site test stand. Analyses were performed for four heat-carrier fluids (two kinds of prop

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34

Yang, Zhihao, Shiting Zhang, Xia Ji, and Steven Y. Liang. "Model-Based Sensitivity Analysis of the Temperature in Laser Powder Bed Fusion." Materials 17, no. 11 (2024): 2565. http://dx.doi.org/10.3390/ma17112565.

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To quantitatively evaluate the effect of the process parameters and the material properties on the temperature in laser powder bed fusion (LPBF), this paper proposed a sensitivity analysis of the temperature based on the validated prediction model. First, three different heat source modes—point heat source, Gaussian surface heat source, and Gaussian body heat source—were introduced. Then, a case study of Ti6Al4V is conducted to determine the suitable range of heat source density for the three different heat source models. Based on this, the effects of laser processing parameters and material t

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35

Modest, Michael F. "Backward Monte Carlo Simulations in Radiative Heat Transfer." Journal of Heat Transfer 125, no. 1 (2003): 57–62. http://dx.doi.org/10.1115/1.1518491.

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Standard Monte Carlo methods trace photon bundles in a forward direction, and may become extremely inefficient when radiation onto a small spot and/or onto a small direction cone is desired. Backward tracing of photon bundles is known to alleviate this problem if the source of radiation is large, but may also fail if the radiation source is collimated and/or very small. In this paper various implementations of the backward Monte Carlo method are discussed, allowing efficient Monte Carlo simulations for problems with arbitrary radiation sources, including small collimated beams, point sources,

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36

Porter, G. A., C. T. Chuang, C. K. Chao, and R. C. Chang. "Thermal stresses in a viscoelastic trimaterial with a combination of a point heat source and a point heat sink." Journal of Engineering Mathematics 61, no. 2-4 (2007): 99–109. http://dx.doi.org/10.1007/s10665-007-9187-x.

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Mirkoohi, Elham, Daniel E. Seivers, Hamid Garmestani, and Steven Y. Liang. "Heat Source Modeling in Selective Laser Melting." Materials 12, no. 13 (2019): 2052. http://dx.doi.org/10.3390/ma12132052.

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Selective laser melting (SLM) is an emerging additive manufacturing (AM) technology for metals. Intricate three-dimensional parts can be generated from the powder bed by selectively melting the desired location of the powders. The process is repeated for each layer until the part is built. The necessary heat is provided by a laser. Temperature magnitude and history during SLM directly determine the molten pool dimensions, thermal stress, residual stress, balling effect, and dimensional accuracy. Laser-matter interaction is a crucial physical phenomenon in the SLM process. In this paper, five d

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38

Ghosh, Aniruddha. "Solution for Modeling 3D Moving Heat Sources in a Semi-Infinite Medium and Applications to Submerged Arc Welding." Defect and Diffusion Forum 319-320 (October 2011): 135–49. http://dx.doi.org/10.4028/www.scientific.net/ddf.319-320.135.

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The determination of the temperature distribution of submerged arc-welded plates is essential when designing submerged arc-welded joints. The key role for the change of weld-bead geometry dimension, thermal stress, residual stress, tensile stress, hardness, etc., is heat input. Heat input is the function of temperature distribution of submerged arc welded plates. An attempt is made in this paper to find the analytical solution for a moving heat-source of egg-shape in a semi-infinite body. The considered modes of heat transfer for this study are conduction and convection. The solution has been

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39

Ivanov, A. P. "Correcting the infrared images of soft biological tissues." Proceedings of the National Academy of Sciences of Belarus. Physics and Mathematics Series 55, no. 1 (2019): 110–17. http://dx.doi.org/10.29235/1561-2430-2019-55-1-110-117.

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Non-invasive (remote) thermographic methods based on IR images are being actively implemented. Using the calculation results of the temperature increment that occurs when a pathological source exists in the person’s skin, a number of ways of solving “inverse problems” are proposed. These include the determination of the depth of the thermal source by measuring the mono or polychrome increment of the normalized brightness of the tissue surface at one point; the source depth and heat transfer parameter by measuring the poly or monochrome one of the normalized brightness (or temperature) at two p

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40

Hu, Zhicheng, and Zhihui Liu. "Heat Conduction Simulation of 2D Moving Heat Source Problems Using a Moving Mesh Method." Advances in Mathematical Physics 2020 (February 11, 2020): 1–16. http://dx.doi.org/10.1155/2020/6067854.

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This paper focuses on efficiently numerical investigation of two-dimensional heat conduction problems of material subjected to multiple moving Gaussian point heat sources. All heat sources are imposed on the inside of material and assumed to move along some specified straight lines or curves with time-dependent velocities. A simple but efficient moving mesh method, which continuously adjusts the two-dimensional mesh dimension by dimension upon the one-dimensional moving mesh partial differential equation with an appropriate monitor function of the temperature field, has been developed. The phy

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41

Lu, John C. C., Ming Qi Chen, and Feng Tsai Lin. "Point Heat Source Induced Thermoelastic Responses of the Cross-Anisotropic Strata." Applied Mechanics and Materials 638-640 (September 2014): 517–29. http://dx.doi.org/10.4028/www.scientific.net/amm.638-640.517.

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This work presents the closed-form solutions of the long-term thermal stresses, displacements and temperature increment of the cross-anisotropic strata subjected to a point heat source at great depth. The medium is initially modeled with cross-anisotropic mechanical and thermal properties. Under this assumption, the properties of the materials are different between the planes on and normal to the isotropic plane. Using Hankel and Fourier transforms, this paper presents the analytic solutions to soils or rocks affected by the point heat source, such as the repositories of nuclear wastes. The ge

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42

SAWADA, Hiroshi, Yasufumi IMAI, Akihide SAIMOTO, and Hiroaki NAKAHORI. "Multi-Point Simultaneous Thermal Stress Cleaving Using a Plane Heat Source." Journal of the Japan Society for Precision Engineering, Contributed Papers 70, no. 3 (2004): 412–16. http://dx.doi.org/10.2493/jspe.70.412.

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43

Rakshit, M., and B. Mukhopadhyay. "A two dimensional thermoviscoelastic problem due to instantaneous point heat source." Mathematical and Computer Modelling 46, no. 11-12 (2007): 1388–97. http://dx.doi.org/10.1016/j.mcm.2006.11.036.

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44

Kistovich, A. V., and Yu D. Chashechkin. "Free convection from a point heat source in a stratified fluid." Journal of Applied Mathematics and Mechanics 51, no. 6 (1987): 740–44. http://dx.doi.org/10.1016/0021-8928(87)90134-1.

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45

Zhou, Zhongcheng, and Chunli Guo. "Stabilization of linear heat equation with a heat source at intermediate point by boundary control." Automatica 49, no. 2 (2013): 448–56. http://dx.doi.org/10.1016/j.automatica.2012.11.005.

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Vazhdaev, K. V., V. A. Martyasheva, A. B. Allaberdin, I. S. Khamidullin, T. T. Mullojanov, and Yu M. Khabirov. "Automated individual heat point with secondary heat energy recovery system." Herald of Dagestan State Technical University. Technical Sciences 51, no. 1 (2024): 187–92. http://dx.doi.org/10.21822/2073-6185-2024-51-1-187-192.

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Objective. An urgent problem of modernizing engineering systems of buildings to ensure energy efficiency and consumer comfort. It is proposed to introduce a waste heat energy recovery system. The result will be a reduction in climate impact and benefits for consumers.Method. A method of heating water for a hot water supply system by partial heat energy recovery using high-potential energy of a gaseous refrigerant superheated after compression by a compressor of a refrigerating machine with a temperature of up to 100°C. is proposed. Automation of an individual heating point is carried out by a

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Dhaliwal, Ranjit S., and Jun Wang. "Green’s Functions in Generalized Micropolar Thermoelasticity." Applied Mechanics Reviews 46, no. 11S (1993): S316—S326. http://dx.doi.org/10.1115/1.3122653.

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General solution of the generalized micropolar thermoelastic equations has been obtained for arbitrary distribution of the body couples, body forces, and heat sources in an infinite body. Short time solutions have been obtained for the cases of impulsive body force and heat source acting at a point. Numerical values of the short time solutions have been displayed graphically.

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Chao, C. K., and C. J. Tan. "On the General Solutions for Annular Problems With a Point Heat Source." Journal of Applied Mechanics 67, no. 3 (1999): 511–18. http://dx.doi.org/10.1115/1.1312804.

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A general analytical solution for the annular problem with a point heat source is provided in this paper. Based upon the method of analytical continuation and the technique of Fourier series expansions, the series solutions of the temperature and stress functions are expressed in complex explicit form. Single-valuedness of complex functions in the doubly connected region has been examined for both the stress-free and displacement-free boundary conditions. The dilatation stress in the annulus due to the application of a point heat source is discussed and shown in graphic form. [S0021-8936(00)02

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Mendioroz, Arantza, Lorenzo Fuggiano, Pablo Venegas, Idurre Sáez de Ocáriz, Umberto Galietti, and Agustín Salazar. "Characterizing Subsurface Rectangular Tilted Heat Sources Using Inductive Thermography." Applied Sciences 10, no. 16 (2020): 5444. http://dx.doi.org/10.3390/app10165444.

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In this study, we characterize the lateral dimension, depth, and inclination of buried tilted rectangular heat sources from time domain temperature data measured at the surface. The heat sources are representative for planar defects that emit heat in thermographic tests with internal burst excitation. We present a semi-analytical expression for the evolution of the surface temperature distribution. The emitted flux, dimensions and inclination of the heat source are determined by fitting the model to two perpendicular surface temperature profiles and the temperature history at one point of the

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Huang, Xiang Yang, and Le Zhang. "Effect of Tail-Water of Water Source Heat Pumps on Lake Phytoplankton." Advanced Materials Research 726-731 (August 2013): 1301–4. http://dx.doi.org/10.4028/www.scientific.net/amr.726-731.1301.

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Taking water heat pump project in Kaixian Peoples Hospital of Chongqing City as a research example, by long-term monitoring on the lake temperature, nitrogen, phosphorus, and population distribution of algae, the effect of tail-water on phytoplankton of lake was studied. The results show that the tail-water have some influences on the number and diversity of algae in summer when the lake water heat pump system works, and the total number of algae near the tail-water discharge point is lower than that in other regions, but the dominant algae in different sampling points are same at the same tim

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