Analytical solutions to the Stefan problem with internal heat generation

McCord, David; Crepeau, John; Siahpush, Ali; Brogin, João Angelo Ferres

doi:10.1016/j.applthermaleng.2016.03.122

Cited by 24 publications

(2 citation statements)

References 19 publications

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“…For preliminary design, an approximate solution based on the moving boundary problems of PCM during the melting/solidification process can be obtained using simple analytical models. Some relevant examples are given in (Ceretani et al, 2018;Khalid et al, 2017;McCord et al, 2016;Myers and Font, 2015).…”

Section: Introductionmentioning

confidence: 99%

Design of high-temperature solar receiver integrated with short-term thermal storage for Dish-Micro Gas Turbine systems

2019

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Section: Introductionmentioning

confidence: 99%

Design of high-temperature solar receiver integrated with short-term thermal storage for Dish-Micro Gas Turbine systems

2019

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“…Closed-form solutions for the Stefan problem are limited. They usually require simple scenarios: constant Dirichlet or Neumann conditions, constant internal heat sources, or a simplified one-phase form where the other material starts at the phase transition temperature (McCord et al, 2016;Qin et al, 2014). For numerical studies, Stefan problems are solved mainly using semi-implicit (Crank and Nicolson, 1947) or implicit method such that a system of linear equations is solved for each time step.…”

Section: Two-phase Stefan Problemmentioning

confidence: 99%

Numerical Modeling Of Frictional Melting Dynamics Constrained By Surface Micro-roughness

Yang¹

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Under high co-seismic slip rates and normal stress, frictional melt may be generated, extensively weakening a fault and rendering classical rate-and-state friction laws ineffective. Pseudotachylytes (solidified frictional melt) created in laboratories and found in natural fault zones thus provide thermal and mechanical information critical to the study of dynamic shear zone processes, including thermal runaway, stress drop, and viscous braking. While existing geochemical and mineralogical evidence has suggested the occurrence of disequilibrium melting during pseudotachylite generation, few studies have leveraged it to resolve the kinematics of co-seismic slip. This study uses a numerical model to constrain the dynamics of frictional melt formation using pseudotachylyte surface micro-roughness inferred to form due to disequilibrium melting. We optimize the kinematic parameters of the Yo↵e source time function using First and foremost, I would like to thank Phil for his guidance, passion, and care over the past two years that have made my path in science much less unforgiving. Began as an intriguing yet nebulous idea, this project has become one of the few works that I am genuinely proud of. It would not be possible without Phil.A special thank you to Suzanne, who kindled my interest in scientific research and revealed to me the wonderful icy world that I will keep exploring for the years to come.Days with Bridie around the lab were never dull. I would also like to thank Joop and Marty for their review. Thank you to the fantastic faculty: Dana for the excellent gateway course that got me in, Tim for the unique Powerpoint aesthetics and Guam, Joop for amusing lectures interspersed with cold callings, Ginny for always being there, Joel for stories of aircraft and music, and everyone who makes it feel like home.

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A numerical study on non-Fourier heat conduction model of phase change problem with variable internal heat generation

2021

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Analytical solutions to the Stefan problem with internal heat generation

Cited by 24 publications

References 19 publications

Design of high-temperature solar receiver integrated with short-term thermal storage for Dish-Micro Gas Turbine systems

Design of high-temperature solar receiver integrated with short-term thermal storage for Dish-Micro Gas Turbine systems

Numerical Modeling Of Frictional Melting Dynamics Constrained By Surface Micro-roughness

A numerical study on non-Fourier heat conduction model of phase change problem with variable internal heat generation

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