...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...

... in the substrate and T 2 ( x , t ) in the sample (relative to ambient). The heat conduction equations, initial and boundary conditions, in these media in Cartesian coordinates are (1a) ∂ 2 T 1 ∂ x 2 = 1 α 1 ∂ T 1 ∂ t...

...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...

..., 2014; published online July 29, 2014. Assoc. Editor: Ali Khounsary. 28 07 2013 23 03 2014 This paper deals with the solution of an inverse heat conduction problem, aiming at the identification of the interface thermal contact conductance, which can be directly associated...

.... These heat transfer modes were also compared with those in the bulk water. molecular dynamics simulation heat conduction self-assembled monolayer hydrophilicity solid–liquid interface Recently, an essential understanding of thermal boundary resistance at the solid–liquid interface becomes...

.... 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...

.../0017-9310(75)90205-7 [4] Fyrillas , M. M. , 2009 , “ Shape Optimization for 2D Diffusive Scalar Transport ,” Optim. Eng. , 10 (4), pp. 477 – 489 . 10.1007/s11081-008-9071-1 [5] Fyrillas , M. M. , 2008 , “ Heat Conduction in a Solid Slab Embedded With a Pipe of General Cross...

... March 26, 2013; final manuscript received January 13, 2014; published online March 7, 2014. Assoc. Editor: Robert D. 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...

... board (PCB), and a many-core processor chip. computer thermal management complex systems hardware morphology computational fluid dynamics exascale computer portable equipment heat conduction many-core processor chip Heat Transfer is but a means to better serve relevant...

... , “ Experimental Investigation of Heat Conduction Mechanisms in Nanofluids. Clue on Clustering ,” Nano Lett. , 9 ( 12 ), pp. 4128 – 4132 . 10.1021/nl902358m [2] Fan , J. , and Wang , L. , 2011 , “ Review of Heat Conduction in Nanofluids ,” ASME J. Heat Transfer , 133 ( 4 ), p. 040801...

... 23 07 2012 The transient heat conduction from two parallel isothermal cylinders is studied using the naturally fit bipolar cylindrical coordinates system. The energy equation is expanded in a Fourier series using appropriate basis functions to eliminate one of the physical coordinates...

... to determine the geometry of the critical as well as crossover perimeter of insulation around a circular cylinder when the insulation is provided eccentrically. References 1 El-Saden , M. R. , 1961 , “ Heat Conduction in an Eccentrically Hollow, Infinitely Long Cylinder With Internal Heat...

...) of a thermoelectric material. We carry out numerical calculations of heat conduction in porous materials, such as phonon Boltzmann transport (BTE) and molecular dynamics (MD) simulations, in order to investigate the mechanism of the thermal conductivity reduction of a porous material. In the BTE, we applied...

... 2010 15 04 2011 13 02 2012 13 02 2012 finite difference methods forced convection heat conduction non-Newtonian fluids pipe flow thermal conductivity power-law fluid thermal conductivity heat transfer Comparison of temperature profiles between models...

... K. This model suggests that at room temperature, in excess of 40% of the heat conducted across the Au-graphite interface is through inelastic channels. Table 1 Individual contributions of two-, three-, and four-phonon processes for Au to c -axis graphite thermal boundary conductance at 300 K...

...Ting-Yu Lin; Satish G. Kandlikar A model is developed to analyze the effect of axial conduction on heat transfer during single-phase flow in microchannels. The axial heat conduction in the wall introduces heat flow toward the inlet section resulting in an increase in the local fluid temperature...