...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...

... for optimization. In Sec. 4.2 , we examine rectangular fins and use an analytical solution for a plate fin heat sink, which is presented in Appendix A . A numerical finite volume model is used in Sec. 4.3 to study how much mass can be reduced by using trapezoidal or triangular fins instead of rectangular ones...

... / 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 At present, the solution of the non...

... , “ Role of Random Roughness on Thermal Performance of Microfins ,” J. Thermophys. Heat Transfer , 21 ( 1 ), pp. 153 – 157 . 10.2514/1.22353 [14] Najafi , M. , Ramezanizadeh , M. , Taeibi-Rahni , M. , and Saidi , M. H. , 2006 , “ Analytical Solution of Fin/Slab Heat Transfer...

... u ∂ y 2 = 0 In the current investigation, a mathematical model is established and its analytical solutions are obtained to evaluate the heat flux, total heat transport per unit length along the thin-film profile, thin-film thickness, and location for the maximum heat...

..., two special cases of heat source capacity are used. A mathematica 5.0 code is developed to evaluate the special functions and their integrals in the analytical solutions for metals with ψ 0 = 1 . Typical values of the model parameters are assumed as follows: μ of the order...

... 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. References...

... performance. The analytical solution can provide useful information for related heat transfer enhancement with metallic foams and establish a benchmark for similar work. References 1 Webb , R. L. , and Kim , N. H. , 1994 , Principles of Enhanced Heat Transfer , 2nd ed. , Wiley , New...

... for the first time by Yang and Vafai ( 11 ). Utilizing the analytical solutions given in Eqs. 19 , 20 , the region over which heat flux bifurcation phenomenon occurs is established and illustrated in Fig. 3 . It is found that this phenomenon occurs only over a given axial region at a given time frame...

... 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...

... convection in porous media in the presence of MHD effects deserves a special physical interest with respect to the analysis of the interaction between buoyancy force and magnetic force and their effects on fluid flow. porous media mixed convection viscous dissipation magnetohydrodynamics analytical...

...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...