Rothe time-discretization method for a nonlinear parabolic p(u) -Laplacian problem with Fourier-type boundary condition and $$L^1$$-data

2020 ◽  
Author(s):  
Abdelali Sabri ◽  
Ahmed Jamea
Keyword(s):  
Boundary Condition ◽  
Time Discretization ◽  
Discretization Method ◽  
Nonlinear Parabolic ◽  
Type Boundary ◽  
Fourier Type ◽  
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.

Convexity of free boundaries with bernoulli type boundary condition

1997 ◽  
Vol 28 (5) ◽  
pp. 815-823 ◽  
Author(s):  
Antoine Henrot ◽  
Henrik Shahgholian
Keyword(s):  
Boundary Condition ◽  
Free Boundaries ◽  
Type Boundary ◽  
Type Boundary Condition
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