Heat conduction with a temperature-dependent thermal conductivity coefficient

1970 ◽  
Vol 19 (6) ◽  
pp. 1548-1554
Author(s):  
Enrico Lorencini
Keyword(s):  
Thermal Conductivity ◽  
Heat Conduction ◽  
Thermal Conductivity Coefficient ◽  
Temperature Dependent ◽  
Temperature Dependent Thermal Conductivity

scholarly journals Model of Fractional Heat Conduction in a Thermoelastic Thin Slim Strip under Thermal Shock and Temperature-Dependent Thermal Conductivity

2021 ◽  
Vol 67 (3) ◽  
pp. 2899-2913
Author(s):  
F. S. Bayones ◽  
S. M. Abo-Dahab ◽  
Ahmed E. Abouelregal ◽  
A. Al-Mullise ◽  
S. Abdel-Khalek ◽  
...  
Keyword(s):  
Thermal Conductivity ◽  
Heat Conduction ◽  
Thermal Shock ◽  
Temperature Dependent ◽  
Fractional Heat Conduction ◽  
Temperature Dependent Thermal Conductivity

Entropy generation analysis for peristalsis of magneto Jeffrey materials

2021 ◽  
pp. 095440892110412
Author(s):  
Tasawar Hayat ◽  
Farhat Bibi ◽  
Ambreen Afsar Khan ◽  
Akbar Zaman ◽  
Ahmed Alsaedi
Keyword(s):  
Magnetic Field ◽  
Thermal Conductivity ◽  
Entropy Generation ◽  
Thermal Conductivity Coefficient ◽  
Temperature Dependent ◽  
Thermal Fields ◽  
Thermal Conductivity Parameter ◽  
Conductivity Parameter ◽  
Temperature Dependent Thermal Conductivity ◽  
Heat Transfer Parameter

This article communicates peristalsis of Jeffrey material in curved geometry. Here, material has temperature-dependent thermal conductivity and viscosity. Mathematical modeling of an inclined magnetic field in curved configuration has been presented in this article. Irreversibility effects have been analyzed through entropy generation. Slip conditions are entertained both for velocity and thermal fields. Problem is first reduced in wave frame and then lubrication approach has been utilized. Numerical solution of dimensionless problem is obtained and important parameters of curiosity are examined. It is noticed that velocity enhances for higher viscosity whereas temperature decreases for higher thermal conductivity coefficient. Velocity of the flow is maximum for inclination of magnetic field to be zero and it is minimum for [Formula: see text] Heat transfer parameter enhances both for thermal conductivity parameter and Hartmann number. Temperature is high for curved configuration when compared with straight channel. It is observed that entropy remains unchanged in center of the channel and it is maximum near the channel walls. Entropy generation decays near the channel walls by higher viscosity and thermal conductivity parameters. However, entropy is more for higher inclination of magnetic field.

scholarly journals APPLICATION OF FAST AUTOMATIC DIFFERENTIATION TO SOLVING THE INVERSE COEFICIENT PROBLEMS

2020 ◽  
pp. 004-014
Author(s):  
YU. G. EVTUSHENKO ◽  
◽  
V. I. ZUBOV ◽  
A. F. ALBU ◽  
◽  
...  
Keyword(s):  
Thermal Conductivity ◽  
Heat Flux ◽  
Dirichlet Boundary ◽  
Thermal Conductivity Coefficient ◽  
Automatic Differentiation ◽  
Dirichlet Boundary Value Problem ◽  
Temperature Dependent ◽  
Fast Automatic Differentiation ◽  
Temperature Dependent Thermal Conductivity ◽  
Differentiation Technique

The inverse problem under consideration is to determine a temperature-dependent thermal conductivity coefficient from experimental observations of the temperature field in the studied substance and (or) the heat flux on the surface of the object. The study is based on the Dirichlet boundary value problem for the nonstationary heat equation stated in the general n -dimensional formulation. For the numerical solution of the problem an algorithm based on the modern fast automatic differentiation technique is proposed.

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