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Keywords: analytical solution
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Journal Articles
Article Type: Research-Article
J. Heat Transfer. December 2021, 143(12): 121201.
Paper No: HT-21-1354
Published Online: September 22, 2021
... (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...
Journal Articles
Article Type: Research-Article
J. Heat Transfer. December 2019, 141(12): 121701.
Paper No: HT-18-1625
Published Online: October 8, 2019
... 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...
Journal Articles
Article Type: Research-Article
J. Heat Transfer. October 2019, 141(10): 101301.
Paper No: HT-18-1617
Published Online: September 13, 2019
...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...
Journal Articles
Article Type: Research-Article
J. Heat Transfer. June 2019, 141(6): 061501.
Paper No: HT-17-1668
Published Online: April 16, 2019
...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...
Journal Articles
Article Type: Research-Article
J. Heat Transfer. March 2019, 141(3): 031702.
Paper No: HT-18-1127
Published Online: February 4, 2019
... 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...
Journal Articles
Article Type: Research-Article
J. Heat Transfer. June 2015, 137(6): 061006.
Paper No: HT-14-1164
Published Online: June 1, 2015
... 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...
Journal Articles
Article Type: Research-Article
J. Heat Transfer. September 2014, 136(9): 091303.
Paper No: HT-13-1416
Published Online: June 27, 2014
... / 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...
Journal Articles
Article Type: Research-Article
J. Heat Transfer. September 2014, 136(9): 091701.
Paper No: HT-13-1636
Published Online: June 24, 2014
... 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...
Journal Articles
Article Type: Research-Article
J. Heat Transfer. August 2013, 135(8): 082001.
Paper No: HT-12-1453
Published Online: July 18, 2013
... 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...
Journal Articles
Article Type: Research-Article
J. Heat Transfer. March 2013, 135(3): 031901.
Paper No: HT-11-1372
Published Online: February 8, 2013
... , “ 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...
Journal Articles
Article Type: Research-Article
J. Heat Transfer. March 2013, 135(3): 031501.
Paper No: HT-11-1570
Published Online: February 8, 2013
... 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...
Journal Articles
Article Type: Research-Article
J. Heat Transfer. December 2012, 134(12): 122402.
Published Online: October 8, 2012
..., 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...
Journal Articles
Article Type: Natural And Mixed Convection
J. Heat Transfer. August 2012, 134(8): 082502.
Published Online: June 5, 2012
... 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...
Journal Articles
Article Type: Research Papers
J. Heat Transfer. September 2011, 133(9): 092603.
Published Online: July 27, 2011
... 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...
Journal Articles
Article Type: Research Papers
J. Heat Transfer. May 2011, 133(5): 052602.
Published Online: February 4, 2011
... 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...
Journal Articles
Article Type: Technical Briefs
J. Heat Transfer. April 2011, 133(4): 044504.
Published Online: January 13, 2011
... 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...
Journal Articles
Article Type: Research Papers
J. Heat Transfer. December 2010, 132(12): 122701.
Published Online: September 21, 2010
... 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...
Journal Articles
Article Type: Technical Briefs
J. Heat Transfer. June 2009, 131(6): 064504.
Published Online: April 10, 2009
... 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...
Journal Articles
Article Type: Technical Briefs
J. Heat Transfer. January 2009, 131(1): 014503.
Published Online: October 20, 2008
...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...
Journal Articles
Article Type: Technical Briefs
J. Heat Transfer. October 2006, 128(10): 1093–1098.
Published Online: April 12, 2006
...J. H. Wang; H. N. Wang To study transpiration cooling problems, an analytical solution of the local thermal nonequilibrium (LTNE) model with the second or third boundary conditions is presented. This solution is obtained through neglecting the thermal conduction of the fluid coolant in porous media...