Analysis of flow, heat transfer and entropy generation in a pipe conveying fourth grade fluid with temperature dependent viscosities and internal heat generation

2017 ◽  
Vol 241 ◽  
pp. 188-198 ◽  
Author(s):  
M.G. Sobamowo ◽  
A.T. Akinshilo
Keyword(s):  
Heat Transfer ◽  
Entropy Generation ◽  
Heat Generation ◽  
Internal Heat ◽  
Fourth Grade ◽  
Internal Heat Generation ◽  
Temperature Dependent ◽  
Grade Fluid ◽  
Flow Heat ◽  
Fourth Grade Fluid

scholarly journals Study of entropy generation in a slab with non-uniform internal heat generation

2013 ◽  
Vol 17 (3) ◽  
pp. 943-950 ◽  
Author(s):  
Haj El
Keyword(s):  
Heat Transfer ◽  
Entropy Generation ◽  
Heat Generation ◽  
Internal Heat ◽  
Internal Heat Generation ◽  
Total Entropy ◽  
Transfer Parameters ◽  
Rectangular Slab ◽  
Steady State Heat ◽  
Dimensionless Heat

Analysis of entropy generation in a rectangular slab with a nonuniform internal heat generation is presented. Dimensionless local and total entropy generation during steady state heat conduction through the slab are obtained. Two different boundary conditions have been considered in the analysis, the first with asymmetric convection and the second with constant slab surface temperature. Temperature distribution within the slab is obtained analytically. The study investigates the effect of some relevant dimensionless heat transfer parameters on entropy generation. The results show that there exists a minimum local entropy generation but there does not exist a minimum total entropy generation for certain combinations of the heat transfer parameters. The results of calculations are presented graphically.

Analysis of Nonlinear Heat Transfer in Solids of Various Geometries with Variable Thermal Conductivity and Heat Source

2017 ◽  
Vol 377 ◽  
pp. 1-16
Author(s):  
Raseelo Joel Moitsheki ◽  
Oluwole Daniel Makinde
Keyword(s):  
Heat Transfer ◽  
Thermal Conductivity ◽  
Exact Solutions ◽  
Heat Generation ◽  
Numerical Solutions ◽  
Internal Heat ◽  
Variable Thermal Conductivity ◽  
Internal Heat Generation ◽  
Temperature Dependent ◽  
Power Law Function

In this paper we consider heat transfer in a hot body with different geometries. Here, the thermal conductivity and internal heat generation are both temperature-dependent. This assumption rendered the model considered to be nonlinear. We assume that thermal conductivity is given by a power law function. We employ the preliminary group classification to determine the cases of internal heat generation for which the principal Lie algebra extends by one. Exact solutions are constructed for the case when thermal conductivity is a differential consequence of internal heat generation term. We derive the approximate numerical solutions for the cases where exact solutions are difficult to construct or are nonexistent. The effects of parameters appearing in the model on temperature profile are studied.

scholarly journals Perturbation Solutions for Hagen-Poiseuille Flow and Heat Transfer of Third-Grade Fluid with Temperature-Dependent Viscosities and Internal Heat Generation

2016 ◽  
Vol 2016 ◽  
pp. 1-12 ◽  
Author(s):  
B. Y. Ogunmola ◽  
A. T. Akinshilo ◽  
M. G. Sobamowo
Keyword(s):  
Heat Transfer ◽  
Fluid Flow ◽  
Heat Generation ◽  
Variable Viscosity ◽  
Internal Heat ◽  
Third Grade ◽  
Third Grade Fluid ◽  
Temperature Dependent ◽  
Flow And Heat Transfer ◽  
Grade Fluid

Regular perturbation technique is applied to analyze the fluid flow and heat transfer in a pipe containing third-grade fluid with temperature-dependent viscosities and heat generation under slip and no slip conditions. The obtained approximate solutions were used to investigate the effects of slip on the heat transfer characteristics of the laminar flow in a pipe under Reynolds’s and Vogel’s temperature-dependent viscosities. Also, the effects of parameters such as variable viscosity, non-Newtonian parameter, viscous dissipation, and pressure gradient at various values were established. The results of this work were compared with the numerical results found in literature and good agreements were established. The results can be used to advance the analysis and study of the behavior of third-grade fluid flow and steady state heat transfer processes such as those found in coal slurries, polymer solutions, textiles, ceramics, catalytic reactors, and oil recovery applications.

Heat Transfer of Thin Fins With Temperature-Dependent Thermal Properties and Internal Heat Generation

1967 ◽  
Vol 89 (2) ◽  
pp. 155-162 ◽  
Author(s):  
H. M. Hung ◽  
F. C. Appl
Keyword(s):  
Heat Transfer ◽  
Thermal Properties ◽  
Temperature Distribution ◽  
Heat Generation ◽  
Analytical Study ◽  
Internal Heat ◽  
Internal Heat Generation ◽  
Temperature Dependent ◽  
Numerical Examples

An analytical study of the temperature distribution along thin fins with temperature-dependent thermal properties and internal heat generation is presented. The analysis utilizes a recently published bounding procedure which yields analytical and continuous bounding functions for the temperature distribution. Several numerical examples are considered. Tabular and graphical results are given. The effects of variable thermal properties and internal heat generation are also shown.

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