scholarly journals Dynamical Properties of Stellar Coronas and Stellar Winds. II. Integration of the Heat-Flow Equation.

1964 ◽  
Vol 139 ◽  
pp. 93 ◽  
Author(s):  
E. N. Parker
Keyword(s):  
Heat Flow ◽  
Flow Equation ◽  
Stellar Winds ◽  
Dynamical Properties

Optimized electrothermal design of integrated devices through the solution to the non-linear 3-D heat flow equation

2001 ◽  
Vol 32 (10-11) ◽  
pp. 823-831 ◽  
Author(s):  
Marcello Pesare ◽  
Agostino Giorgio ◽  
Anna Gina Perri
Keyword(s):  
Heat Flow ◽  
Flow Equation ◽  
Integrated Devices ◽  
Non Linear

Heat-flow equation motivated by the ideal-gas shock wave

2010 ◽  
Vol 82 (2) ◽  
Author(s):  
Brad Lee Holian ◽  
Michel Mareschal
Keyword(s):  
Shock Wave ◽  
Heat Flow ◽  
Ideal Gas ◽  
Flow Equation ◽  
The Ideal

scholarly journals An Analytic Analysis of the Diffusive-Heat-Flow Equation for Different Magnetic Field Profiles for a Single Magnetic Nanoparticle

2012 ◽  
Vol 2012 ◽  
pp. 1-22 ◽  
Author(s):  
Brenda Dana ◽  
Israel Gannot
Keyword(s):  
Magnetic Field ◽  
Heat Flow ◽  
Temperature Profile ◽  
Magnetic Nanoparticle ◽  
Temperature Response ◽  
Flow Equation ◽  
Maximum Temperature ◽  
Transient Temperature ◽  
Muscular Tissue ◽  
Temperature Increment

This study analytically analyzes the changes in the temperature profile of a homogenous and isotropic medium having the same thermal parameters as a muscular tissue, due to the heat released by a single magnetic nanoparticle (MNP) to its surroundings when subject to different magnetic field profiles. Exploring the temperature behavior of a heated MNP can be very useful predicting the temperature increment of it immediate surroundings. Therefore, selecting the most effective magnetic field profile (MFP) in order to reach the necessary temperature for cancer therapy is crucial in hyperthermia treatments. In order to find the temperature profile caused by the heated MNP immobilized inside a homogenous medium, the 3D diffusive-heat-flow equation (DHFE) was solved for three different types of boundary conditions (BCs). The change in the BC is caused by the different MF profiles (MFP), which are analyzed in this article. The analytic expressions are suitable for describing the transient temperature response of the medium for each case. The analysis showed that the maximum temperature increment surrounding the MNP can be achieved by radiating periodic magnetic pulses (PMPs) on it, making this MFP more effective than the conventional cosine profile.

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