Distribution of Friction Heat Between a Stationary Pin and Rotating Ring

Abstract

The analysis of the heat distribution between a stationary pin and rotating ring was considered. To solution of the governing quasi-stationary heat conductivity equation the finite Fourier transform was used. The convective cooling from outer and internal surface of the ring as the boundary conditions were considered. The ring surface temperature, the average temperature on the ring surface and the heat distribution coefficient for the studied system were determined. The numerical results for the temperatures and heat distribution coefficient which demonstrated the effects of the Biot number and internal radius of the ring on them, were presented. List of symbols Ring AArea of the heating zone (m 2 ) Bi = h R/K Dimensionless Biot number associated with the external surface of the ring Bi 0 = h 0 R/K Dimensionless Biot number associated with the internal surface of the ring Bi = h R/K Dimensionless Biot number associated with the sides of the ring h Heat transfer coefficient on external surface of the ring (Wm −2 K −1 ) h 0 Heat transfer coefficient on the internal surface of the ring, (Wm −2 K −1 ) hHeat transfer coefficient on the sides of the ring (Wm −2 K −1 ) k Thermal diffusivity (m 2 s −1 ) K Thermal conductivity (Wm −1 K −1 )Intensity of the heat flow into the ring (Wm −2 ) Q = q A Total rate of friction heat directed into the ring supply from area A (W) rRadial coordinate (m) R External radius (m) R 0Internal radius (m) T Temperature rise ( • C) T

Waste Mismanagement in Developing Countries: A Review of Global Issues

“…One of the most hazardous problems regards the spread of Dengue, which is currently one of the most important diseases in tropical areas. About 2.5 billion people live in areas of risk and many millions of cases occurring each year [113]. A study assessed the breeding mosquito larvae, identifying the dengue vectors distributed in Tamilnadu (India).…”

“…Totally 118 water containers were inspected, among which 38 containers were recorded as positive for dengue vector. Among all type of containers analyzed, cement cistern, mud pot and used tires were positive for the mosquito larvae [113]. Therefore, the final disposal in open dump sites of waste tires should be avoided for reducing the spread of Dengue diseases in topical areas.…”

The influence of distribution intensity form of heat flux on the temperature by the local quasi-stationary heating on external surface of the ring

“…They are frequently encountered in such manufacturing processes as metal cutting, grinding, polishing, welding, as well as in many tribological applications, such as bearings, meshing of gears, asperities in sliding contact. The examples were described in papers [3,8].…”

“…The appropriate heat conduction problem for the ring was solved in [3]. The influence of the rotating speed and heat transfer on the outer surface of the circular cylinder on the temperature and thermal stresses at uniform intensity of heat flux were studied in papers [4][5][6].…”

“…Analyzing the distribution of the temperature and change of the maximum temperature, we compare from all figures the plots for uniform (received in paper[3]) (solid line), elliptic (dashed line) and parabolic (dot-and-dash line) distribution intensity of heat flux. The dependences of the dimensionless temperature T * * on the external surface of the ring from appropriate distributions intensity of heat flux, presented inFig.…”