...Robert L. McMasters; Filippo de Monte; Giampaolo D'Alessandro; James V. Beck Analytical solutions for thermal conduction problems are extremely important, particularly for verification of numerical codes. Temperatures and heat fluxes can be calculated very precisely, normally to eight or ten...

... and short channel lengths alongside high solid cross section to fluid free flow area make them susceptible to intense axial conduction loss. The conventional models for macrodevices based on the one-dimensional energy equation are often inappropriate in the microdomain. A novel multidimensional analytical...

... analytical solutions in 2D problems with partial heating. But the generalized solution proposed here contains the possibility of hundreds or even thousands of individual solutions. An indexed numbering system is used in order to highlight these individual solutions. Heating along a variable length...

... of the planar faces of the cylinder and homogeneous convective boundary conditions elsewhere with zero initial conditions. analytical conduction Green's functions cylindrical Verification is an important step in the use of numerical codes for conductive heat transfer experiments. In order...

... to validate the present analytical model. The comparison between the numerical and the present analytical model shows great agreement; a maximum relative difference less than 5.3%. convection dynamic systems transient analytical optimal frequency For optimal design and accurate control...

... heat transfer thermal conductivity rectification conduction composite material analytical Thermal rectification is a topic that has begun to receive significant attention in the past decade in both the applied physics and heat transfer communities. It can be broadly defined...

...Shadi Mahjoob; Kambiz Vafai Characterization and regulation of isothermal surfaces are key issues in a number of thermal management devices. The surface temperature uniformity can be controlled utilizing a variable area channel heat exchanger filled with a porous medium. A comprehensive analytical...

... confined flow convection creeping flow multiphase flow rotational flow thermally developing flow radial flow parallel disks analytical Heat transfer through thermally developing flows in conduits is important for understanding the fundamentals of convective heat transfer and also...

... of the forced convective heat transfer coupled with heat conduction through the foam fibers. Analytical expressions have been derived for the gas-solid temperature difference, total heat transfer through the foam, and efficiency of foam as an extended surface. The resulting expressions have strong resemblance...

... Division October 22, 2002; revision received June 3, 2004. Associate Editor: G. S. Dulikravich. 22 October 2002 03 June 2004 16 11 2004 integral equations heat transfer temperature distribution heating laser beam effects Analytical Heat Transfer Laser Thin Films...

... conductivity heat conduction continuum mechanics irreversible thermodynamics tensors Analytical Conduction Heat Transfer Second Law Thermodynamics In this work, an exposition is given, accompanied by new illustrative examples and minor clarifications to some of the existing literature...

...B. Kundu; P. K. Das An analytical method based on Frobenius power series expansion has been developed for the performance prediction of fully wet fins. Fins of different geometries, namely, longitudinal, annular and spine having both trapezoidal and triangular profiles have been considered. Unlike...

...Kiari Boulama; Nicolas Galanis Exact analytical solutions for fully-developed, steady-state laminar mixed convection with heat and mass transfer between vertical parallel plates are presented. The thermal boundary conditions are UWT or UHF while the concentration at each wall is assumed...

...O. Fudym; J.-C. Batsale; R. Santander; V. Bubnovich Some analytical solutions of the one dimensional transient coupled heat and mass transfer linear equations in a semi-infinite medium are proposed, based on an extension of the thermal quadrupole formalism, in both axial and radial coordinate...

... − cos   ξ H = dimensionless coordinate transformation factor, h / D h = 0.5   sinh η o / 1 − N cosh η − cos ξ k = thermal conductivity of fluid n = infinite-series summation parameter in analytical solution N...

...Ted D. Bennett The phase of a temperature field resulting from the harmonic surface heating of a film can contain sufficient information to determine the film thermal properties. The case of a film having anisotropic properties and heated by a Gaussian laser beam is analytically analyzed...

... . Manuscript received by the Heat Transfer Division May 15, 2002; revision received August 14, 2003. Associate Editor: A. F. Emery. 15 May 2002 14 August 2003 04 05 2004 heat conduction inverse problems temperature distribution temperature measurement Analytical Heat...

... . Blair , J. M. , 1975 , “ An analytical Solution to a Two-Dimensional Model of Hot Dry a Rod ,” Nucl. Eng. Des. , 32 , pp. 159 – 170 . Elias , E. , and Yadigaroglu , G. , 1977 , “ A General One-Dimensional Model for Conduction-Controlled Rewetting of a Surface ,” Nucl. Eng. Des...

... with the results from other researchers using different analytical methods as shown in Tables 1 and 2 . Figure 5 shows the relative errors, ε st of the quasi-steady solution and ε m of the improved quasi-steady analysis, as functions of Stefan number, S T...

... in the kidney phantom during water bath heating. The model accounts for conjugate heat transfer between the paired artery and vein, and their surrounding tissue in the renal medulla. Tissue temperature distribution in the cortex was predicted using the Pennes bioheat transfer equation. An analytical solution...