A Modified Differential Transform Method (DTM) for Analyzing Irreversibility of Heat Transfer in Flow Through a Moving Plate with Variable Temperature

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Communications in Theoretical Physics ›› 2017, Vol. 68 ›› Issue (05) : 647-653.

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A Modified Differential Transform Method (DTM) for Analyzing Irreversibility of Heat Transfer in Flow Through a Moving Plate with Variable Temperature

Yin-Wei Lin¹, Kuei-Hao Chang², Cha'o-Kuang Chen³

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Abstract

In this paper, the entropy generation of a flow through a movable plate with variable temperature is studied. Suitable similarity variables are applied to transform the local entropy generation rate to entropy generation number. A modified differential transform method (DTM) with shooting method is used to obtain the similarity solution of the entropy generation. The effects of different parameters (Prandtl number, variable wall temperature) on the irreversibility (such as N_sh, N_sf, N_sx) are analyzed and discussed. Moreover, it is worth mentioning that DTM is of advantage because its numerical solution is differentiation and integration. Therefore, its analysis result is reliable and high accuracy.

Key words

sakiadis / entropy generation / irreversibility / moving plate / differential transform / DTM

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Yin-Wei Lin, Kuei-Hao Chang, Cha'o-Kuang Chen. A Modified Differential Transform Method (DTM) for Analyzing Irreversibility of Heat Transfer in Flow Through a Moving Plate with Variable Temperature[J]. Communications in Theoretical Physics, 2017, 68(05): 647-653

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Funding

Supported by the Ministry of Science and Technology under Contract MOST 103-2221-E006-005 and the Fund of Key Laboratory of Applied Mathematics of Fujian Provincial Universities