TY - JOUR
T1 - Beyond the classical theory of heat conduction
T2 - a perspective view of future from entropy
AU - Tian, Xiaowei
AU - Lai, Xiang
AU - Zhu, Pingan
AU - Wang, Liqiu
PY - 2016/10/31
Y1 - 2016/10/31
N2 - Energy is conserved by the first law of thermodynamics; its quality degrades constantly due to entropy generation, by the second law of thermodynamics. It is thus important to examine the entropy generation regarding the way to reduce its magnitude and the limit of entropy generation as time tends to infinity regarding whether it is bounded or not. This work initiates such an analysis with one-dimensional heat conduction. The work not only offers some fundamental insights of universe and its future, but also builds up the relation between the second law of thermodynamics and mathematical inequalities via developing the latter of either new or classical nature. A concise review of entropy is also included for the interest of performing the analysis in this work and the similar analysis for other processes in the future.
AB - Energy is conserved by the first law of thermodynamics; its quality degrades constantly due to entropy generation, by the second law of thermodynamics. It is thus important to examine the entropy generation regarding the way to reduce its magnitude and the limit of entropy generation as time tends to infinity regarding whether it is bounded or not. This work initiates such an analysis with one-dimensional heat conduction. The work not only offers some fundamental insights of universe and its future, but also builds up the relation between the second law of thermodynamics and mathematical inequalities via developing the latter of either new or classical nature. A concise review of entropy is also included for the interest of performing the analysis in this work and the similar analysis for other processes in the future.
KW - Entropy generation
KW - Heat conduction
KW - Mathematical inequalities
KW - Second law of thermodynamics
KW - Entropy generation
KW - Heat conduction
KW - Mathematical inequalities
KW - Second law of thermodynamics
KW - Entropy generation
KW - Heat conduction
KW - Mathematical inequalities
KW - Second law of thermodynamics
UR - http://www.scopus.com/inward/record.url?scp=84992147476&partnerID=8YFLogxK
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-84992147476&origin=recordpage
U2 - 10.1098/rspa.2016.0362
DO - 10.1098/rspa.2016.0362
M3 - RGC 21 - Publication in refereed journal
C2 - 27843400
SN - 1364-5021
VL - 472
JO - Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
JF - Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
IS - 2194
M1 - 20160362
ER -