...Dian Xu; Jinbao Li; Zixuan Wang; Sijun Xiong; Qianqiang He; Rui Li Many studies have been conducted on two-dimensional (2D) transient heat conduction, but analytic modeling is still uncommon for the cases with complex boundary constraints due to the mathematical challenge. With an unusual...

...@mit.edu e-mail:  lienhard@mit.edu 27 03 2024 29 05 2024 04 07 2024 heat conduction shape factor interior exterior symmetry conformal mapping regular polygons N -fold symmetry École Supérieure de Physique et de Chimie Industrielles de la Ville de Paris...

... 1 Corresponding author. e-mail:  keith.woodbury@ua.edu cryogenics interfacial heat transfer coefficients parameter estimation heat conduction Levenberg iterations Gauss minimization Tikhonov regularization sensitivity coefficients inverse crime References [1...

... − 1 i r − 1 e rfc ( x 2 α t ) ] Summer Heat Transfer Conference, The Madison Hotel, July 10–12, 2023. SHTC2023. 31 10 2023 15 04 2024 06 06 2024 heat conduction penetration time deviation time short-time solution...

... is unknown. This paper investigates the application of inverse heat conduction problem (IHCP) methods to characterize the heat flux from the band heater. Three experiments with different heating times (5, 10, and 20 s) and no flowrate were conducted to measure the transient temperature under the 400 W band...

...John H. Lienhard, V Two-dimensional steady-state heat conduction is possible outside closed boundaries on which two isothermal segments at different temperatures are separated by two adiabatic segments. Remarkably, previous research showed that the conduction shape factor for the region exterior...

... conductivity modified transient plane source transient measurement method thermal contact resistance heat conduction The modified transient plane source (MTPS) method was first described in 2006 [ 1 ] as a geometry modification of previous work presented in 2000 by Mathis [ 2 ]. It has been in use...

...Siddharth Saurav; Sandip Mazumder The Fourier and the hyperbolic heat conduction equations were solved numerically to simulate a frequency-domain thermoreflectance (FDTR) experiment. Numerical solutions enable isolation of pump and probe laser spot size effects and use of realistic boundary...

... in blood perfusion, porosity, evaporation rate, and ambient temperatures has been constructed based on non-Fourier heat conduction law. Methods: The human eye has been divided into six layers. Appropriate boundary and interface conditions have been considered. A separable function has been assumed...

..., infinite or semi-infinite heat conduction problems are a challenge. Since the analytical solution usually contains improper integrals that need to be computed numerically, computer-evaluation speed is a serious issue. To improve the computation speed with precision maintained, an analytical method has been...

... dynamics (NEMD) simulations were performed to study the microscopic heat conduction in example monohydric alcohols, i.e., 1-dodecanol (C 12 H 26 O), 1-tetradecanol (C 14 H 30 O), and 1-hexadecanol (C 16 H 34 O). A simplified ideal crystal model was proposed to exploit the potential for improving...

... promotes coupling in physical space. The solution procedure is benchmarked against a traditional sequential solution procedure for thermal transport in silicon. Significant acceleration in computational time, between 10 and 300 times, over the sequential procedure is found for heat conduction problems...

... The physical problem considered here involves heat conduction through a multilayered plate, heated through its top surface by a heat flux q ( x , y , t ), as illustrated by Figs. 1( a ) and 1( b ) . The top and bottom surfaces of this plate exchanges heat by convection with the surrounding environment...

... Conductivity of Vitreous Silica ,” Phys. Rev. B , 59 , pp. 13707 – 13711 . 10.1103/PhysRevB.59.13707 [27] Torii , D. , Nakano , T. , and Ohara , T. , 2008 , “ Contribution of Inter- and Intramolecular Energy Transfers to Heat Conduction in Liquids ,” J. Chem. Phys. , 128 , p. 044504...

.... multilayer heat conduction analytical solution computation While numerical methods are becoming increasingly popular because of advances in computational technology, analytical methods for determining the temperature distribution in composite materials remain of interest because they provide...

.... The particular configuration is a classical heat conduction problem with a wide range of practical applications. We consider both the classical problem, i.e., estimating the shape factor of a given configuration, and the inverse problem, i.e., calculating the optimum shape that maximizes the heat transfer rate...

.... Tzou. 26 03 2013 13 01 2014 Mathematical models are developed for heat conduction in creeping flow of a liquid over a microstructured superhydrophobic surface, where because of hydrophobicity, a gas is trapped in the cavities of the microstructure. As gas is much lower in thermal...

... – 197 . 10.1080/01457630701686735 [60] Nakayama , W. , 2008 , “ Heat Conduction in Printed Circuit Boards: A Mesoscale Modeling Approach ,” ASME J. Electron. Packag. , 130 ( 4 ), p. 041106 . 10.1115/1.2993126 [61] 1995 , “ Integrated Circuit Test Method, Environment Conditions...

... transverse to the thermal flux, two-dimensional heat conduction is considered for estimation of the effective thermal conductivity of regular arrays, which is separated into three components, namely, no thermal-interaction (NTI) effect, longitudinal thermal-interaction (LTI) effect, and transverse thermal...

.... A. , 1972 , “ A Problem of Transient Heat Conduction in a Semibounded Body With an Internal Cylindrical Heat Source ,” J. Eng. Phys. , 23 , pp. 1051 – 1054 . 10.1007/BF00828846 [6] Thiyagarajan , R. , and Yovanovich , M. M. , 1974 , “ Thermal Resistance of a Buried Cylinder With Constant...