Pipe subject to temperature and pressure - QuickField simulation example
A very long thick-walled cylinder pipe is subjected to an internal pressure and a steady state temperature distribution with Ti and To temperatures at inner and outer surfaces respectively. Calculate the stress distribution in the cylinder.
How to find thermal and pressure stress in cylindrical pipes?
Answer Typical applications Geometry
Given
Task
Solution
Results
Radial and circumferential stress at R=1.2875 cm:
Reference:
Engineering question
Set up an axisymmetric QuickField Multiphysics problem for a cylindrical pipe under temperature and pressure load and evaluate stress distribution from computed field results.
pressure pipes, cylindrical vessels, pipeline sections
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Simulation problem
Problem Type
Axisymmetric multiphysics problem of Heat Transfer coupled to Stress analysis.
Dimensions R1 = 1 cm, R2 = 2 cm;
Inner surface temperature Ti = 100 °C;
Outer surface temperature To = 0 °C;
Coefficient of thermal expansion α = 10 -6 1/K;
Internal pressure P = 106 N/m²;
Young's modulus E = 3·1011 N/m²;
Poisson's ratio ν = 0.3.
Calculate the stress distribution in the pipe.
Since none of physical quantities varies along z-axis, a thin slice of the cylinder can be modeled. The axial length of the model is arbitrarily chosen to be 0.2 cm. Axial displacement is set equal to zero at the side edges of the model to reflect the infinite length of the cylinder.
Temperature distribution and stress distribution in a cylinder pipe:
QuickField
Reference [1]
σr = σr,r (N/m²)
-3.9865·106
-3.9834·106
σq = σ3 (N/m²)
-5.9247·106
-5.9400·106
[1] S.P. Timoshenko and J.N.Goodier, Theory of Elasticity, McGraw-Hill Book Co., N.Y., 1961, pp. 448-449.
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