Electronic Theses and Dissertations for Graduate School
Author Last Name
Virtual Entropy Generation
Restricted (Penn State Only)
Engineering Science and Mechanics
Master of Science
Date of Defense:
April 07, 2017
Corina Stefania Drapaca, Thesis Advisor
Albert Eliot Segall, Committee Member
Judith Todd Copley, Committee Member
Virtual entropy generation
Reliablity and uncertainty control
Second-Law of thermodynamics
The real world is not perfect. So are equations and measurements. In the real world, the first law of thermodynamics is balanced by an error term. At the same time, this error term propagates into the second law of thermodynamics, which causes the so-called virtual entropy generation. The virtual entropy generation is a bridge between the “real-world” and the first and second laws of thermodynamics. Through the inequality of the second law of thermodynamics and measurements, a critical error criterion can be obtained which requires the measurement to satisfy the second law of thermodynamics. The goal of the thesis is to summarize my understanding of the concept of virtual entropy generation. The thesis has three main parts: 1) mathematical descriptions of virtual entropy generation, including its definition and two physical boundaries; 2) a general approach of the virtual entropy generation method, which is expressed in the continuum mechanics framework; and 3) an application of virtual entropy generation, including an analytical criterion development using Taylor series (Taylor Series Method) and a numerical criterion development based on the Monte Carlo Method. The virtual entropy generation is a versatile concept that can be used in not only in measurement error, but also in quantifying defects in models or materials, numerical residual errors, etc.
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