scholarly journals The heat-balance integral method by a parabolic profile with unspecified exponent: Analysis and benchmark exercises

2009 ◽  
Vol 13 (2) ◽  
pp. 27-48 ◽  
Author(s):  
Hristov Jordan
Keyword(s):  
Heat Balance ◽  
Integral Method ◽  
Parabolic Profile ◽  
Heat Balance Integral Method ◽  
The Heat Balance

scholarly journals Heat-balance integral to fractional (half-time) heat diffusion sub-model

2010 ◽  
Vol 14 (2) ◽  
pp. 291-316 ◽  
Author(s):  
Jordan Hristov
Keyword(s):  
Diffusion Equation ◽  
Heat Balance ◽  
Integral Method ◽  
Time Derivative ◽  
Heat Diffusion ◽  
Half Time ◽  
Heat Diffusion Equation ◽  
Parabolic Profile ◽  
Heat Balance Integral Method ◽  
The Heat Balance

The fractional (half-time) sub-model of the heat diffusion equation, known as Dirac-like evolution diffusion equation has been solved by the heat-balance integral method and a parabolic profile with unspecified exponent. The fractional heat-balance integral method has been tested with two classic examples: fixed temperature and fixed flux at the boundary. The heat-balance technique allows easily the convolution integral of the fractional half-time derivative to be solved as a convolution of the time-independent approximating function. The fractional sub-model provides an artificial boundary condition at the boundary that closes the set of the equations required to express all parameters of the approximating profile as function of the thermal layer depth. This allows the exponent of the parabolic profile to be defined by a straightforward manner. The elegant solution performed by the fractional heat-balance integral method has been analyzed and the main efforts have been oriented towards the evaluation of fractional (half-time) derivatives by use of approximate profile across the penetration layer.

Hybrids of the heat balance integral method

2012 ◽  
Vol 218 (14) ◽  
pp. 7431-7444 ◽  
Author(s):  
O.P. Layeni ◽  
J.V. Johnson
Keyword(s):  
Heat Balance ◽  
Integral Method ◽  
Heat Balance Integral Method ◽  
The Heat Balance

The heat balance integral method for cylindrical extruders

2020 ◽  
Vol 122 (1) ◽  
pp. 1-16
Author(s):  
Jacob W. Sitison ◽  
David A. Edwards
Keyword(s):  
Heat Balance ◽  
Integral Method ◽  
Heat Balance Integral Method ◽  
The Heat Balance
Sign in / Sign up

Export Citation Format

Share Document