Radial Heat Flow in Spherical Coordinates

2021 ◽  
Vol 172 ◽  
pp. 112854
Author(s):  
Maulik Panchal ◽  
Vrushabh Lambade ◽  
Vimal Kanpariya ◽  
Harsh Patel ◽  
Paritosh Chaudhuri

1965 ◽  
Vol 48 (6) ◽  
pp. 297-305 ◽  
Author(s):  
T. G. GODFREY ◽  
W. FULKERSON ◽  
T. G. KOLLIE ◽  
J. P. MOORE ◽  
D. L. McELROY

A radial heat-flow apparatus has been constructed in Pyrex glass and used for liquid thermal conductivity investigations. The liquid under test fills the 1.25mm space between concentric cylinders and a measured quantity of heat flows inwards. After calibration using liquids of known thermal conductivity, new values are obtained for pyridine and three chlorofluoro­carbon oils. The apparatus can also be used for direct determinations when allowance is made for the temperature drop occurring in each of the glass walls. For this purpose, a determination of the thermal conductivity of the glass was made using a similar method. A discussion of the results is included.


2004 ◽  
Vol 13 (08) ◽  
pp. 1727-1752 ◽  
Author(s):  
P. C. NOGUEIRA ◽  
R. CHAN

A model of a collapsing radiating star consisting of a fluid with shear viscosity and bulk viscosity undergoing radial heat flow with outgoing radiation is studied. This kind of fluid is the most general viscous fluid we can have. The pressure of the star, at the beginning of the collapse, is isotropic but, due to the presence of the shear viscosity and the bulk viscosity, the pressure becomes more and more anisotropic. The radial and temporal behaviors of the density, pressure, mass, luminosity, the effective adiabatic index and the Kretschmann scalar are analyzed. The collapsing time, density, mass, luminosity and Kretschmann scalar of the star do not depend on the viscosity of the fluid (nor the shear viscosity and neither the bulk viscosity).


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