scholarly journals A large plane set intersecting lines in infinitely many directions in at most one point

Author(s):  
Vladimir Eiderman ◽  
Michael Larsen
Keyword(s):  
2018 ◽  
Vol 47 (2) ◽  
pp. 212004
Author(s):  
赵思伟 ZHAO Si wei ◽  
田爱玲 TIAN Ai ling ◽  
王大森 WANG Da sen ◽  
刘丙才 LIU Bing cai ◽  
朱学亮 ZHU Xue liang ◽  
...  
Keyword(s):  

1947 ◽  
Vol 243 (1) ◽  
pp. 93-94
Author(s):  
R.H. Oppermann
Keyword(s):  

2008 ◽  
Author(s):  
Emilio Molinari ◽  
Paolo Spanò ◽  
Giorgio Toso ◽  
Daniela Tresoldi ◽  
Roberto Biasi ◽  
...  

Author(s):  
Antonio Campo ◽  
Yunesky Masip Macía

Simple formulas for the prediction of three important thermal quantities, the center temperature, the mean temperature, and the total heat transfer in regular configurations (large plane wall, long cylinder, and sphere) cooled/heated with prescribed uniform surface temperature during “small time,” are addressed in the present paper. Two immediate engineering applications deal with quenching of metals and sterilization of canned food. The simple formulas emanate from the truncated one term series of the supplementary infinite series at small time. The small time subregion has been traditionally characterized in the heat conduction literature by the dimensionless time or Fourier number τ< 0.24 in the large plane wall, τ< 0.21 in the long cylinder, and τ< 0.19 in the sphere. Excellent agreement between the obtained simple formulas and the traditional solutions (namely the exact, analytical infinite series for “all time”) are attained for the center temperature, mean temperature, and total heat transfer in the large plane wall, long cylinder, and sphere.


2020 ◽  
Vol 51 (9) ◽  
pp. 4742-4752
Author(s):  
Aditya Sarkar ◽  
S. V. S. Narayana Murty ◽  
M. J. N. V. Prasad

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