TY - CHAP
M1 - Book, Section
T1 - Thermal Stress in a Pipe
A1 - Atesmen, M. Kemal
A2 - Atesmen, M. Kemal
PY - 2009
T2 - Everyday Heat Transfer Problems: Sensitivities to Governing Variables
AB - Thermal stresses generated by temperature variations in the wall of a pipe have been studied extensively in Reference by Timoshenko, S. and J. N. Goodier [17]. The stress, strain, radial displacement relationships in cylindrical coordinates are treated in detail in Reference [17]. To calculate the thermal stresses in a pipe wall, the temperature distribution in the pipe wall has to be known. The temperature distribution in the radial direction, R, can be obtained from a steady-state, one-dimensional heat conduction equation in cylindrical coordinates. By assuming constant thermophysical properties and no heat sources in the pipe wall, the heat conduction equation for the temperature distribution, T, is: Display Formulad2T∕dR2+(1∕R)dT∕dR=0If the temperatures at the inner surface, Ti, and the outer surface, To, of the pipe wall are known, Eq. (9-1) can be solved by using the following boundary conditions: Display FormulaT=TiatR=Ri
SN - 9780791802830
PB - ASME
CY - New York, NY
Y2 - 2019/06/15
UR - http://dx.doi.org/10.1115/1.802830.ch9
ER -