...Y. Haseli; G. F. Naterer This article presents new semi-analytical solutions for transient heat conduction in a slab, which exchanges heat at the surface with its surroundings via convection, radiation, or simultaneous convection–radiation mechanisms. The concept of thermal penetration depth...

... (FIT) technique. The analytical solution was juxtaposed to the corresponding numerical solution in order to determine its reliability. The numerical solution of the aforementioned governing equation has been obtained by the finite volume method (FVM). The results of both analytical and numerical...

... with a convective boundary condition (SCS-3 model), and realistic conditions such as transversely isotropic ground and groundwater flow are all included in the model. An analytical solution for the problem is established using Green's function method and the theory of moving heat sources. Solutions for the SCS...

...Hossein Rahmani; Mahmood Norouzi; Alireza Komeili Birjandi; Amir Komeili Birjandi In this study, an analytical solution is proposed for the problem of transient anisotropic conductive heat transfer in composite cylindrical shells. The composite shells are considered to have directional heat...

...Hongguang Sun; Chih-Cheng Hsu The analytical solutions for condensation (and evaporation) rates of laminar humid air flow in the channels of a battery pack at both entrance and downstream regions are obtained/modeled. The effects of the entrance fluid velocity profile and the aspect ratio...

... onto the unit circle in the computational domain. The governing equations are solved in the computational domain analytically. An exact analytical solution for the temperature field is derived together with closed form expressions for bulk temperature and Nusselt number for the case of the constant...

.... An analytical solution is used with rectangular fins and a numerical model with trapezoidal fins. Whereas the triangle is the best shape for single fins, in a heat sink flow velocity coupled with geometry favors trapezoids over triangles and rectangles. heat sink trapezoidal fin forced convection...

... / D. K. Tafti. 14 08 2013 02 06 2014 The computation of the analytical solution of the steady temperature distribution in multilayered media can become numerically unstable if there are different longitudinal (i.e., the directions parallel to the layers) boundary conditions...

... A. Liburdy. 10 12 2013 28 05 2014 This work is aimed at contributing to the thermal analysis of slip flow through circular microducts, providing an analytical solution to the energy conservation equation for partially heated walls. A uniform wall heat flux (H2 boundary conditions...

... to the steady distribution and it changes faster for the smaller Vernotte number. The numerical results agree well with the experimental results. two-dimension non-Fickian diffusion analytical solution arbitrary initial condition periodic boundary condition The transient mass transfer can...

... than the rough one and by increasing the roughness, the thermal resistance experiences further reduction. conical microfins Gaussian roughness analytical solution Adomian decomposition method (ADM) thermal performance In a variety of applications in microelectromechanical systems...

...: Bruce L. Drolen. 14 12 2011 20 09 2012 A mathematical model predicting heat transfer and film thickness in thin-film region is developed herein. Utilizing dimensionless analysis, analytical solutions have been obtained for heat flux distribution, total heat transfer rate per unit...

...R. T. Al-khairy This paper presents an analytical solution of the hyperbolic heat conduction equation for a moving finite medium under the effect of a time-dependent laser heat source. Laser heating is modeled as an internal heat source, whose capacity is given by g(x,t) = I(t) (1 – R)μe − μx...

... cells only exist in case of CWT and only for positive eccentricity. Moreover, the study has shown that the present numerical solution of the pure conduction problem is almost identical with the newly presented analytical solution which confirms the high accuracy of the numerical solution. 29 09...

... performance. The analytical solution can provide useful information for related heat transfer enhancement with metallic foams and establish a benchmark for similar work. 07 10 2010 08 05 2011 10 05 2011 27 07 2011 27 07 2011 channel flow flow simulation flow through porous...

... Inst. 0016-0032 , 208 , pp. 405 – 416 . 10.1016/S0016-0032(29)91186-8 Riaz , M. , 1977 , “ Analytical Solution for Single- and Two-Phase Models of Packed-Bed Thermal Storage Systems ,” ASME J. Heat Transfer 0022-1481 , 99 , pp. 489 – 492 . 10.1115/1.3450725 Spiga , G...

... heat transfer Laplace transforms thermal characterization analytical solution numerical Laplace inversion Fourier series People who are concerned with the measurement of thermal properties always look for analytical solutions of the heat transfer mathematical governing equations...

... solution methods for the transfer process are very crucial, especially in thermal radiation related reverse problems and optimization designs. In this study, the analytical solution for radiative heat transfer in an absorbing, emitting, and anisotropically scattering slab between two parallel gray walls...

... analytical solution cables (electric) convection flow through porous media magnetohydrodynamics 27 02 2008 03 12 2008 10 04 2009 2009 American Society of Mechanical Engineers ...

...M. Nazari; F. Kowsary This paper is concerned with the conduction heat transfer between two parallel plates filled with a porous medium with uniform heat generation under a nonequilibrium condition. Analytical solution is obtained for both fluid and solid temperature fields at constant porosity...