Study of the analytical solution to the heat transfer problem and surface temperature in a semi-infinite body with a constant heat flux at the surface and an initial temperature distribution

1995 ◽  
Vol 30 (3) ◽  
pp. 183-186 ◽  
Author(s):  
J. R. Zhuang ◽  
K. Werner ◽  
E. -U. Schl�nder
Keyword(s):  
Heat Transfer ◽  
Heat Flux ◽  
Temperature Distribution ◽  
Analytical Solution ◽  
Initial Temperature ◽  
Transfer Problem ◽  
Constant Heat Flux ◽  
Infinite Body ◽  
Constant Heat ◽  
Initial Temperature Distribution

Mechanism of Convective Heat Transfer of Airflow in Deep Airway

2011 ◽  
Vol 243-249 ◽  
pp. 4998-5002
Author(s):  
Yi Jiang Wang ◽  
Guo Qing Zhou ◽  
Lei Wu ◽  
Yong Lu
Keyword(s):  
Heat Transfer ◽  
Heat Flux ◽  
Temperature Distribution ◽  
Convective Heat Transfer ◽  
Convective Heat ◽  
Constant Heat Flux ◽  
Constant Heat ◽  
Mining Depth ◽  
Axial Temperature ◽  
Criterion Equation

With the increase of mining depth, an investigation of the convective heat transfer of airflow in deep airway is urgently required. The velocity and temperature distribution were derived by using the turbulence model for smooth tube. In order to simplify calculation and avoid the complicated calculation of integration, with the help of velocity-temperature distribution analogy, the criterion equation of convective heat transfer was obtained by using the model of constant heat flux. The coefficient of convective heat transfer between airflow and airway was calculated, and criterion correlation of convective heat transfer was regressed according to test data. Test results show that the axial temperature distribution of airflow is linear, which is encouraging agreement with theoretical calculating results. Hence model of constant heat flux is a viable method for studying the convective heat transfer of airflow in deep airway.

scholarly journals A Study of Temperature Distribution and Thermal Stresses in a Hot Rock Due to Rapid Cooling

2020 ◽  
Vol 142 (4) ◽  
Author(s):  
Tran X. Phuoc ◽  
Mehrdad Massoudi ◽  
Ping Wang ◽  
Mark L. McKoy
Keyword(s):  
Heat Flux ◽  
Temperature Distribution ◽  
Thermal Stresses ◽  
Initial Temperature ◽  
Constant Heat Flux ◽  
Surface Heat ◽  
Uniform Temperature ◽  
Constant Heat ◽  
Thermoelastic Response ◽  
Unit Depth

Abstract Thermal stresses may be induced in a hot dry rock when a cold fluid is injected in the well. To study this problem, we look at the thermoelastic response of a hot rock that is suddenly cooled. The cooling is assumed to be either at a constant temperature or at a constant heat flux per unit depth. Our approach is to nondimensionalize the equations and perform a parametric study and look at the temperature distribution and the induced-thermal stresses. The results indicate that depending on the extent of cooling and the cooling time, thermal stresses can be induced. Numerical simulations on sandstone, with an initial uniform temperature of 473 K, are also carried out. The results show that if the cooling is due to the surface temperature maintained at 463 K (10 °C lower than the initial temperature of the hot rock), thermal stresses that are larger than the rock tensile strength could be induced. When the cooling is due to a constant surface heat flux, this temperature can be reached after about 777 days of cooling with a minimum value of a heat flux of −20 W/m.

scholarly journals The exact analytical solution of the dual-phase-lag two-temperature bioheat transfer of a skin tissue subjected to constant heat flux

2020 ◽  
Vol 10 (1) ◽  
Author(s):  
Hamdy M. Youssef ◽  
Najat A. Alghamdi
Keyword(s):  
Heat Flux ◽  
Analytical Solution ◽  
Exact Analytical Solution ◽  
Constant Heat Flux ◽  
Bioheat Transfer ◽  
Skin Tissue ◽  
Phase Lag ◽  
Dual Phase ◽  
Constant Heat ◽  
Two Temperature

Abstract This work is dealing with the temperature reaction and response of skin tissue due to constant surface heat flux. The exact analytical solution has been obtained for the two-temperature dual-phase-lag (TTDPL) of bioheat transfer. We assumed that the skin tissue is subjected to a constant heat flux on the bounding plane of the skin surface. The separation of variables for the governing equations as a finite domain is employed. The transition temperature responses have been obtained and discussed. The results represent that the dual-phase-lag time parameter, heat flux value, and two-temperature parameter have significant effects on the dynamical and conductive temperature increment of the skin tissue. The Two-temperature dual-phase-lag (TTDPL) bioheat transfer model is a successful model to describe the behavior of the thermal wave through the skin tissue.

An analytical approach for optimal design of heat sinks under forced convection

2013 ◽  
Vol 3 (2) ◽  
Author(s):  
Antonio Miguel
Keyword(s):  
Heat Transfer ◽  
Heat Flux ◽  
Transfer Rate ◽  
Analytical Approach ◽  
Constant Heat Flux ◽  
Heat Sinks ◽  
Pumping Power ◽  
Fluid Stream ◽  
Design Standards ◽  
Constant Heat

AbstractSaving energy is just as important as generating energy. In this paper, we seek an optimized structure that achieves a certain level of heat transfer rate under a minimum pumping power to drive the fluid stream. Constraints are specified by the flow regime (laminar and turbulent), admissible boundary conditions on the walls (prescribed temperature and constant heat flux), and design standards. The study will help designers with more effective basic tools for the conceptual design of system and in establishing proper operating procedures.

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