Uncertainty quantification by probabilistic analysis of circular fins
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Rama Subba Reddy Gorla
Abstract
The temperature distribution and thermal Stresses induced by a temperature difference for steady state heat transfer in silicon carbide (SiC) ceramic tube heat exchanger with circular fins was computationally simulated by a finite element method and probabilistically evaluated in view of the several uncertainties in the performance parameters. Cumulative distribution functions and sensitivity factors were computed for the hoop stresses due to the structural and thermodynamic random variables. These results are used to identify the most critical design variables in order to optimize the design and make it cost effective. The probabilistic analysis leads to the selection of the appropriate measurements to be used in structural and heat transfer analysis and to the identification of both the most critical measurements and parameters.
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Author contributions: The author has accepted responsibility for the entire content of this submitted manuscript and approved submission.
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Research funding: None declared.
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Conflict of interest statement: The author declares no conflicts of interest regarding this article.
Nomenclature
- A
-
area (m2)
- a
-
thermal coefficient of expansion in the x direction (K−1)
- b
-
thermal coefficient of expansion in the x direction (K−1)
- Cp
-
specific heat capacity of material (J/kg K)
- E
-
Young’s modulus of the material (Pa)
-
-
CDF of
-
-
PDF of
-
-
limit state function
- h i
-
inside convective heat transfer coefficient (W/m2 K)
- h o
-
outer convective heat transfer coefficient (W/m2 K)
- K x
-
thermal conductivity in the x direction (W/m K)
- K y
-
thermal conductivity in the y direction (W/m K)
- k
-
thermal conductivity (W/m K)
- L
-
fin height (m)
- L 1
-
boundary length (m)
- L 2
-
boundary length remainder (m)
-
-
number of random variables
- n x
-
direction cosine in the x direction
- n y
-
direction cosine in the y direction
-
-
probability of failure
- r i
-
inner radius of tube (m)
- SX
-
radial stress (Pa)
- SY
-
hoop stress (Pa)
- Tb i
-
inner fluid bulk temperature (K)
- Tb o
-
outer fluid bulk temperature/ambient temperature (K)
- t
-
fin thickness (m)
- T
-
tube thickness (m)
-
-
standardized normal (Gaussian) variable
-
-
random variable
-
-
performance or response function (Z-function)
Greek letters
- ρ
-
density (kg/m3)
- ν
-
poisson’s ratio
- α
-
thermal diffusivity (m2/s)
-
-
minimum distance (m)
-
-
CDF of u
-
-
PDF of u
-
-
mean value
-
-
standard deviation
References
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© 2023 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
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Artikel in diesem Heft
- Frontmatter
- Numerical investigations of heat transfer characteristics using oblong fins and circular fins in a wedge channel
- An efficient flow control technique based on co-flow jet and multi-stage slot circulation control applied to a supercritical airfoil
- Reacting flow analysis in scramjet engine: effect of mass flow rate of fuel and flight velocity
- Installed performance seeking control based on supersonic variable inlet/engine coupling model
- Effect of zero penetration angle chevrons in supersonic jet noise and screech tone mitigation
- The aerodynamic performance degradation analysis of a small high bypass turbofan engine compression system with fan rotor blade leading edge erosion
- Flow structure comparison of film cooling versus hybrid cooling: a CFD study
- Experimental investigation on a Jeffcott rotor with combined coupling misalignment using time-frequency analysis
- Effect of free boundary on the performance of single expansion nozzle
- Optimization and numerical investigation of combined design of blade and endwall on rotor 67
- Numerical study on the effect of distortion of S-duct on flow field and performance of a full annulus transonic fan
- Research on a high-precision real-time improvement method for aero-engine component-level model
- Uncertainty quantification by probabilistic analysis of circular fins
- Influences of unbalance phase combination on the dynamic characteristics for a turboprop engine
- Study on the water ingestion performance of compressor with inlet particle separator
- The role of volume effect on the transient behavior of a transonic compressor
- Experimental analysis of performance and tip dynamic pressure in a compressor cascade with high-speed moving endwall
- Numerical study of the impact of hydrogen addition, swirl intensity and equivalence ratio on methane-air combustion
- Active subspace-based performance analysis of supersonic through-flow fan rotor
- Assessment of performance degradation of a mixed flow low bypass turbofan engine through GasTurb simulation
- Numerical investigation of tip clearance flow in a variable geometry turbine with non-uniform partial clearance
