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Keywords: Laplace transforms
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Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Heat Mass Transfer. April 2012, 134(4): 042503.
Published Online: February 15, 2012
..., 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...
Journal Articles
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Heat Mass Transfer. September 2011, 133(9): 092501.
Published Online: July 27, 2011
... 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...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Heat Mass Transfer. August 2011, 133(8): 082801.
Published Online: May 3, 2011
... ) 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...
Journal Articles
Journal Articles
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Heat Mass Transfer. June 2010, 132(6): 061301.
Published Online: March 19, 2010
... 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...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Heat Mass Transfer. November 2009, 131(11): 111304.
Published Online: August 25, 2009
... 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...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Heat Mass Transfer. November 2009, 131(11): 112701.
Published Online: August 25, 2009
... 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...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Heat Mass Transfer. November 2008, 130(11): 111301.
Published Online: August 28, 2008
... 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...
Journal Articles
Journal Articles
Journal Articles
Publisher: ASME
Article Type: Technical Papers
J. Heat Mass Transfer. April 2003, 125(2): 213–223.
Published Online: March 21, 2003
...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...