scholarly journals Discussion: “Steady-State Temperature Solution for a Heat-Generating Circular Cylinder Cooled by a Ring of Holes” (Rowley, J. C., and Payne, J. B., 1964, ASME J. Heat Transfer, 86, pp. 531–536)

1964 ◽  
Vol 86 (4) ◽  
pp. 536-536 ◽  
Author(s):  
S. Pacino ◽  
J. S. Wiley
Keyword(s):  
Heat Transfer ◽  
Steady State ◽  
Circular Cylinder ◽  
Steady State Temperature ◽  
Temperature Solution

Steady-State Temperature Solution for a Heat-Generating Circular Cylinder Cooled by a Ring of Holes

1964 ◽  
Vol 86 (4) ◽  
pp. 531-536 ◽  
Author(s):  
J. C. Rowley ◽  
J. B. Payne
Keyword(s):  
Heat Conduction ◽  
Steady State ◽  
Circular Cylinder ◽  
Heat Conduction Equation ◽  
Series Solution ◽  
Concentric Circle ◽  
Optimum Location ◽  
Shape Factors ◽  
Steady State Temperature ◽  
Temperature Solution

A series solution is presented to the heat-conduction equation for a heat-generating circular cylinder pierced axially by a ring of equal holes spaced uniformly on a concentric circle. The solution is based upon a class of potential functions previously defined by Howland. Typical nondimensional curves for peak and average temperatures and optimum location of the ring of holes for uniform convective cooling are presented. In addition, some shape factors or conductances for the geometry are given.

Steady-state temperature distribution in man

1961 ◽  
Vol 16 (4) ◽  
pp. 734-740 ◽  
Author(s):  
Eugene H. Wissler
Keyword(s):  
Heat Transfer ◽  
Mathematical Model ◽  
Steady State ◽  
Transfer System ◽  
Metabolic Heat ◽  
Metabolic Heat Generation ◽  
Steady State Temperature ◽  
Flowing Blood ◽  
Heat Transfer System ◽  
Arteries And Veins

A steady-state, mathematical model for the human heat transfer system has been developed. This model includes the following factors: a) the distribution of metabolic heat generation, b) conduction of heat in tissue, c) convection of heat by flowing blood, d) loss of heat by radiation, convection and evaporation at the surface, e) loss of heat through the respiratory tract, and f), countercurrent heat exchange between large arteries and veins. Computed results were compared with experimental results for the nude basal man and found to be satisfactory. Submitted on August 1, 1960

Quasi-Steady-State Temperature Distribution in Periodically Contacting Finite Regions

1981 ◽  
Vol 103 (4) ◽  
pp. 739-744 ◽  
Author(s):  
B. Vick ◽  
M. N. O¨zis¸ik
Keyword(s):  
Heat Transfer ◽  
Thermal Conductivity ◽  
Steady State ◽  
Temperature Distribution ◽  
Interface Temperature ◽  
Quasi Steady State ◽  
Exact Analytical Solutions ◽  
One Dimensional ◽  
Steady State Temperature ◽  
Regular Cycle

Heat transfer across two surfaces which make and break contact periodically according to a continuous regular cycle is investigated theoretically and exact analytical solutions are developed for the quasi-steady-state temperature distribution for a two-region, one-dimensional, periodically contacting model. The effects of the Biot number, the thermal conductivity and thermal diffusivity of the materials and the duration of contact and break periods on the interface temperature and the temperature distribution within the solids are illustrated with representative temperature charts.

scholarly journals 2-D Steady-State Heat Transfer Prediction in Rotating Electrical Machines Taking into account Materials Anisotropy: Thermal Resistances Network, Exact Analytical and Hybrid Methods

2021 ◽  
Vol 1 (1) ◽  
pp. 21-37
Author(s):  
Kamel Boughrara ◽  
Frédéric Dubas
Keyword(s):  
Heat Transfer ◽  
Steady State ◽  
Hybrid Methods ◽  
Electrical Machines ◽  
Steady State Temperature ◽  
Rotor Poles ◽  
The Difference ◽  
Steady State Heat ◽  
Steady State Heat Transfer ◽  
Thermal Conductivities

This paper presents two-dimensional (2-D) thermal resistances network (TRNM), exact analytical (AM) and hybrid (HM) methods for calculating steady-state temperature and heat flux distribution in rotating electrical machines considering materials anisotropy (i.e., different thermal conductivities in both directions). They are based on the thermal equivalent circuit (TEC), the improved exact subdomain (SD) technique where the solution and thermal conductivities depend on both directions (r, theta) and the coupling between the two methods. TRNM is known as a semi-analytical method that can predict the heat transfer in the machine in less time than finite element method (Fem). The implementation of TRNM by considering the difference between the thermalconductivities in (r, theta) using its equivalence with Fem is presented. The SD technique is improved to consider the difference between thermal conductivities in the directions (r, theta). It is known that the SD technique with non-homogeneous boundary conditions (BCs) is very sensitive to the dimensions of SDs where the harmonics number and the accuracy are lower in small subdomains. Hence, the HM from the TRNM and AM is given to answer these inaccuracies especially in electrical machines with a high number of stator slots and rotor poles. The heat sources are volumetric power losses due to hysteresis, eddy-current, Joule losses and windage losses in all the regions of the machine obtained by a simplified method. The studied problem is conductive with conductive interface conditions (ICs) and convective heat transfer between the machine and the external air and at the rotor internal air. The semi-analytical results are compared between them as well as with those obtained by Fem.

scholarly journals Analysis on start up and heat transfer performance of mercury heat pipe under alternating heating power

2021 ◽  
Vol 248 ◽  
pp. 01004
Author(s):  
Chongju Hu ◽  
Xiuxiang Zhang ◽  
Hongyan Wang ◽  
Bo Wu ◽  
Pinghua Zhang
Keyword(s):  
Heat Transfer ◽  
Steady State ◽  
Thermal Resistance ◽  
Heat Pipe ◽  
Heat Transfer Performance ◽  
Transfer Performance ◽  
Start Up ◽  
Steady State Temperature ◽  
Temperature Heat ◽  
Fluctuation Amplitude

Heat pipe may be affected by the high temperature heat source during operation, resulting in unsteady oscillation heating. In this paper, the influence of alternating power and period on the start-up and heat transfer performance of mercury heat pipe is studied by using the method of equivalent thermal resistance of heat pipe. The results are as follows:1) The start-up time of alternating power heating and steady-state power heating is basically equal; 2) For the alternating power heating, the steady-state temperature of heat pipe changes periodically, increasing the alternating period or the amplitude of alternating power will lead to the increase of the fluctuation amplitude of heat pipe temperature, and the influence of alternating period is greater than that of changing the amplitude of alternating power. 3) Under the condition of alternating power heating, the steady-state thermal resistance of heat pipe changes periodically. The fluctuation amplitude of steady-state thermal resistance of heat pipe increases with the increase of alternating period and alternating power amplitude, and the influence of alternating power amplitude is greater than that of alternating period.

Transient Thermal Stress and Associated Natural Frequency Variations in Circular Disk Elements

1967 ◽  
Vol 89 (2) ◽  
pp. 265-270 ◽  
Author(s):  
C. D. Mote
Keyword(s):  
Heat Transfer ◽  
Thermal Stress ◽  
Steady State ◽  
Natural Frequency ◽  
Circular Disk ◽  
Disk Surface ◽  
Surface Heat ◽  
Steady State Temperature ◽  
Transient Thermal ◽  
Frequency Variations

Most available thermal stress and associated natural frequency analyses of circular disk elements incorporate only the steady-state temperature distribution and intuitively assume that the transient is not significant. An analytical rule-of-thumb involving the calculation and test of a nondimensional number h1 is proposed for predicting conditions when the transient regime may be significantly more severe than the steady state. The number h1 = hb2/ksa, a modified Biot number, involves disk surface heat transfer, disk conductivity, and geometry.

Sign in / Sign up

Export Citation Format

Share Document