Optimal Control and “Strange” Term Arising from Homogenization of the Poisson Equation in the Perforated Domain with the Robin-type Boundary Condition in the Critical Case

2020 ◽  
Vol 102 (3) ◽  
pp. 497-501
Author(s):  
A. V. Podolskiy ◽  
T. A. Shaposhnikova
Keyword(s):  
Boundary Condition ◽  
Optimal Control ◽  
Poisson Equation ◽  
Critical Case ◽  
Perforated Domain ◽  
The Poisson Equation ◽  
Type Boundary ◽  
Type Boundary Condition

Heat Transfer in Composite Spheroids

2020 ◽  
Vol 143 (1) ◽  
Author(s):  
Rajai Alassar
Keyword(s):  
Heat Transfer ◽  
Boundary Condition ◽  
Prolate Spheroid ◽  
Published Data ◽  
Composite Sphere ◽  
Legendre Series ◽  
The Third ◽  
Type Boundary ◽  
Type Boundary Condition ◽  
The Impact

Abstract Heat transfer from a composite prolate spheroid under the third-type boundary condition is investigated using a Legendre series expansion. The model is verified against published data on cooling boiled eggs and also against the asymptotic solution of a composite sphere. The impact of Biot number on the heat transfer in spheroids with realistic dimensions and properties, such as eggs and olives, is investigated. The results are also presented for varying conductivity ratios and fractional volume of the inner part of the spheroid.

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