Journal ArticleDOI
Application of Differential Transform Method to Heat Conduction in Tapered Fins
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In this paper, the authors analyze steady-state heat conduction in a triangular-profile fin using a relatively new, exact series method of solution known as the differential transform method.Abstract:
We analyze steady-state heat conduction in a triangular-profile fin using a relatively new, exact series method of solution known as the differential transform method. This method converges with only six terms or less for the cases considered. Its advantage is that, unlike many popular methods, it is an exact method and yet it does not require the use of Bessel or other special functionsread more
Citations
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The application of differential transformation method to nonlinear equations arising in heat transfer
TL;DR: In this paper, two nonlinear heat transfer problems were solved by considering variable specific heat coefficient using differential transformation method (DTM) which is a semi-numerical-analytical solution technique.
Journal ArticleDOI
Improving the differential transform method: A novel technique to obtain the differential transforms of nonlinearities by the Adomian polynomials
TL;DR: In this article, it is shown that this defect can be overcome with the help of the Adomian polynomials perfectly, and the application of the proposed technique in treatment of nonlinear differential equations is well illustrated by a number of examples.
Journal ArticleDOI
Conjugate Forced Convection Heat Transfer From a Heated Flat Plate of Finite Thickness and Temperature- Dependent Thermal Conductivity
TL;DR: In this paper, a semi-analytical solution for the nonlinear integro-differential equation occurring in the problem is handled easily and accurately by implementing the differential transform method (DTM).
Journal ArticleDOI
DTM- Padé Modeling of Natural Convective Boundary Layer Flow of a Nanofluid Past a Vertical Surface
TL;DR: In this paper, the authors used the Differential Transform Method (DTM) to solve the nonlinear differential equations under appropriate boundary conditions, in the form of series with easily computable terms, then, Padé approximants are applied to the solutions to increase the convergence of the given series.
Journal ArticleDOI
Analytical Solutions for Steady Heat Transfer in Longitudinal Fins with Temperature-Dependent Properties
TL;DR: In this article, the authors derived explicit analytical expressions for the temperature profile, fin efficiency, and heat flux in a longitudinal fin, where thermal conductivity and heat transfer coefficient depend on the temperature.
References
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Journal ArticleDOI
Application of differential transformation to eigenvalue problems
Cha'o-Kuang Chen,Shing-Huei Ho +1 more
TL;DR: Using differential transformation to solve eigenvalue problems is introduced in this paper, where two eigen value problems are solved by the present method and the calculated results are compared closely with the results obtained by another analytical method.
Journal ArticleDOI
Optimization of circular fins with variable thermal parameters
Lien-Tsai Yu,Cha'o-Kuang Chen +1 more
TL;DR: In this paper, the optimal length of a rectangular profile circular fin with variable thermal conductivity and convective heat transfer coefficients was investigated. And the authors showed that for both convection-radiation and pure radiation, the length of the optimum fin for higher temperatures is shorter than the length for the fin with lower temperatures.
Journal ArticleDOI
Vibration analysis of continuous systems by differential transformation
Moinuddin Malik,Hao Huy Dang +1 more
TL;DR: This paper demonstrates the application of the technique of differential transformation to free vibration of continuous systems and shows that the solutions obtained have a very high degree of accuracy.
Journal ArticleDOI
Improved approximate methods for analysising steady heat conduction
TL;DR: In this article, an improved version of the Rayleigh techinique used by Rayleigh and Schmidt for solid mechanics problems is extended to one and two-dimensional problems of steady heat conduction.