Explicit full field analytic solutions for two-dimensional heat conduction problems with finite dimensions

Lin, Ru-Li

doi:10.1016/j.ijheatmasstransfer.2009.12.070

Cited by 6 publications

(4 citation statements)

References 16 publications

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“…The applicable boundary conditions are either thermal isolation or isothermal. Fourier transform technique was used with image method as analytical solutions to find both temperature and heat flow throughout the body [10]. In new study, models were propose for transient heat analysis of a multi-layer tube with active heating.…”

Section: -Introductionmentioning

confidence: 99%

Temperature Difference Effect between Two Samples Ends on the Inception of Thermal Sensitivity

Majeed

2019

JUBES

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This paper examined the effect of the difference between the temperature of the two end of the body exposed to transient conduction heat transfer on the inception of thermal sensitivity and at different distances from the hot end of the sample. The study was based on the selection of a sample with a length of 15 cm and a fixed height of 1 cm. Four materials with different thermal properties were selected. One end of the model was exposed to three different temperatures (75, 125, and 175) oC. The other end of the sample was placed under a convection heat transfer at 25 oC. To adopt an inception indicator of thermal sensitivity of the sample when exposed to transient heat transfer, (26) oC was used because it is the nearest temperature to the initial condition of the sample. Four points were selected on different distance from hot end along the sample. The hot end temperature was also adopted as an indicator to measure the effect of the temperature difference for two body ends as the other end is subject to constant transient heat transfer. Determine the effect of the temperature difference between two body ends exposed to transient heat transfer on the inception of thermal sensitivity is study target. The results of this study showed the reverse effect of the temperature difference between two body ends exposed to transient heat transfer on the inception of thermal sensitivity, this effect increases by increasing the distance from hot sample end and depressing of thermal diffusivity. The results also showed that the values of the Thermal sensitivity inception ranged between (0.43-17845) seconds according to the distance from the hot end, its temperature, and the thermal diffusivity of sample materials for each case.

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Section: -Introductionmentioning

confidence: 99%

Temperature Difference Effect between Two Samples Ends on the Inception of Thermal Sensitivity

Majeed

2019

JUBES

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“…For example, using spherical coordinates or cylindrical coordinates to separate the variables in the Laplace equations, wave equations, or transport equations, an associated Legendre equation, Bessel equation or Spherical Bessel equation will appear, respectively. The image method and conformal mapping technique are well known in solving two-dimensional problems [6]. For heat conduction problems with irregular domains, we can map these irregular domains to regular domains which are called the image spaces.…”

Section: Introductionmentioning

confidence: 99%

Analytical Method for Heat Conduction Problem with Internal Heat Source in Irregular Domains

Fan

Tang

Jin

et al. 2013

Advances in Mechanical Engineering

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In engineering field, analytical methods can only be applied to classic heat transfer problems with regular geometric boundaries. It is difficult to apply analytical methods in solving the mathematical and physical equations in nonorthogonal boundary of irregular domains. In this paper, we presented a method by conformal mapping from the solution for heat conduction problems in regular domains to solve problems in irregular domains.

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“…Lin (2010) presented analytical solutions of heat conduction for isotropic media with finite dimensions. He utilized a Fourier transform together with the image method to find solutions to a composite-layer medium.…”

Section: Introductionmentioning

confidence: 99%

An analytical approach to capture zone delineation for a well near a stream with a leaky layer

Asadi-Aghbolaghi

Rakhshandehroo

Kompani-Zare

2013

Hydrological Sciences Journal

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Explicit full field analytic solutions for two-dimensional heat conduction problems with finite dimensions

Cited by 6 publications

References 16 publications

Temperature Difference Effect between Two Samples Ends on the Inception of Thermal Sensitivity

Temperature Difference Effect between Two Samples Ends on the Inception of Thermal Sensitivity

Analytical Method for Heat Conduction Problem with Internal Heat Source in Irregular Domains

An analytical approach to capture zone delineation for a well near a stream with a leaky layer

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