..., in terms of Bessel functions by the Laplace transform technique, for the tractable case of unit Prandtl number. Numerical computations for velocity, temperature, skin-friction, and Nusselt number are made for various set of physical parameters and presented in graphs. Due to the presence of thermal...

... at the outer surface of the inner cylinder. The governing equations of motion and energy are transformed into ordinary differential equations using the Laplace transform technique. The ordinary differential equations are then solved analytically and the Riemann-sum approximation method is used to invert...

... plate are considered. The solution of the governing equations has been obtained by using a Laplace transform technique. However, the Riemann-sum approximation method is used to invert the Laplace domain to the time domain. The unified solution obtained for the velocity have been used to compute the skin...

... ) Using Laplace transforms, the dimensionless heat flow balance equations are transformed to yield a set of linear algebraic equations as follows: 9 ( a ∓ p ) θ ¯ 1 + b θ ¯ 2 + c θ ¯ 3 + b θ ¯ 4 = ∓ θ 1 ( 0 ) − d / p b θ ¯ 1...

... to symmetric concentration and thermal input. The Dufour effect is taken into consideration. The velocity, temperature, and concentration profiles are obtained analytically using the Laplace transforms technique and used to compute the shear stress, Nusselt number, and mass flux. During the course...

...J. Toutain; J.-L. Battaglia; C. Pradere; J. Pailhes; A. Kusiak; W. Aregba; J.-C. Batsale The aim of this technical brief is to test numerical inverse Laplace transform methods with application in the framework of the thermal characterization experiment. The objective is to find the most reliable...

... is thermally shocked, has been solved by using Laplace transform and state-space techniques. According to the numerical results and its graphs, conclusion about the new theory of thermoelasticity has been constructed. We will consider a half-space filled with an elastic material, which has constant elastic...

... to the interior temperature. In the development, a spatial state formulation in the Laplace transform domain and a root locus analysis yield a stability criterion. This criterion gives an upper bound of heat source for thermal stability and relates the degree of excessive heat production to the number of unstable...

... approach with the help of a discrete scheme, and the solution is then exactly obtained by separating the physical set on two disjoint domains on which a Laplace transform is applied, followed by the resolution of a first kind Fredholm equation. 19 06 2008 14 05 2009 25 08 2009...

... Green’s functions containing convolution-type integrals, which involve integration over a dummy time, referred to as “cotime.” Two types of Green’s functions are used: one for short cotimes comes from the Laplace transform and the other for long cotimes from the method of separation of variables...

...D. Milov 26 05 2005 30 01 2006 heat transfer integral equations integration Laplace transforms In this paper, the authors claim in the abstract and the conclusion that the “solution with dual phase lag depends only on the difference between the two lags...

...Vladimir Kulish; Vasily Novozhilov 02 06 2005 06 06 2005 heat transfer integral equations Laplace transforms Both comments from our opponent are incorrect. Comment 1. For the purpose of mathematical model derivation, relations (1) and (3) are identities which hold...

...Masanori Monde; Hirofumi Arima; Yuhichi Mitsutake An analytical method has been developed for the inverse heat conduction problem using the Laplace transform technique when the temperatures are known at two positions within a finite body. On the basis of these known temperatures, a closed form...