Heat balance integral method for a time-fractional Stefan problem with Robin boundary condition and temperature-dependent thermal conductivity

2021 ◽  
Author(s):  
Abhishek Kumar ◽  
Rajeev .
Keyword(s):  
Thermal Conductivity ◽  
Boundary Condition ◽  
Stefan Problem ◽  
Heat Balance ◽  
Integral Method ◽  
Robin Boundary Condition ◽  
Temperature Dependent ◽  
Heat Balance Integral Method ◽  
Robin Boundary ◽  
Temperature Dependent Thermal Conductivity

One-phase Stefan problem with temperature-dependent thermal conductivity and a boundary condition of Robin type

2015 ◽  
Vol 21 (2) ◽  
Author(s):  
Adriana C. Briozzo ◽  
María Fernanda Natale
Keyword(s):  
Thermal Conductivity ◽  
Boundary Condition ◽  
Stefan Problem ◽  
Temperature Dependent ◽  
Temperature Dependent Thermal Conductivity

AbstractWe study a one-phase Stefan problem for a semi-infinite material with temperature-dependent thermal conductivity with a boundary condition of Robin type at the fixed face

scholarly journals A Linear Approach Suitable for a Class of Steady-State Heat Transfer Problems with Temperature-Dependent Thermal Conductivity

2021 ◽  
Vol 2021 ◽  
pp. 1-12
Author(s):  
R. M. S. Gama ◽  
R. Pazetto
Keyword(s):  
Heat Transfer ◽  
Thermal Conductivity ◽  
Steady State ◽  
Robin Boundary Conditions ◽  
Temperature Dependent ◽  
Steady State Heat ◽  
Steady State Heat Transfer ◽  
Transfer Problems ◽  
Robin Boundary ◽  
Temperature Dependent Thermal Conductivity

This work presents an useful tool for constructing the solution of steady-state heat transfer problems, with temperature-dependent thermal conductivity, by means of the solution of Poisson equations. Specifically, it will be presented a procedure for constructing the solution of a nonlinear second-order partial differential equation, subjected to Robin boundary conditions, by means of a sequence whose elements are obtained from the solution of very simple linear partial differential equations, also subjected to Robin boundary conditions. In addition, an a priori upper bound estimate for the solution is presented too. Some examples, involving temperature-dependent thermal conductivity, are presented, illustrating the use of numerical approximations.

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