Research Article
BibTex RIS Cite

Transient temperature distribution and thermal stresses in a thick plate subjected to random pulses

Year 2019, Volume: 22 Issue: 4, 209 - 217, 29.11.2019
https://doi.org/10.5541/ijot.607900

Abstract

This paper deals with the determination of second-order statistics (the mean of each component and correlations between components) of the quasi-static temperature distribution and thermal stresses on a thick plate under thermal load.  The heated thick circular plate with random internal heat generation acting at random instants of time, in addition to sectional heat supply in the form of random impulses on the upper face, while the lower face is kept at zero temperature, and the fixed circular edge thermally insulated in considered for investigation. A type of Laplace transform method is employed to obtain the analytical solutions for the temperature and stresses statistics. Numerical results demonstrate the effects of the magnitude with the statistics of the temperature and thermal stresses and represented graphically.

References

  • Chiba R (2012) Stochastic analysis of heat conduction and thermal stresses in solids. A Review INTECH 243-266
  • Mathews PM, Srinivasan SK (1956) Ordinary linear differential equations involving random functions. Proc. Ind. Acad. Sci. 43:4–20.
Year 2019, Volume: 22 Issue: 4, 209 - 217, 29.11.2019
https://doi.org/10.5541/ijot.607900

Abstract

References

  • Chiba R (2012) Stochastic analysis of heat conduction and thermal stresses in solids. A Review INTECH 243-266
  • Mathews PM, Srinivasan SK (1956) Ordinary linear differential equations involving random functions. Proc. Ind. Acad. Sci. 43:4–20.
There are 2 citations in total.

Details

Primary Language English
Journal Section Regular Original Research Article
Authors

Sonal Bhoyar This is me

Vinod Varghese 0000-0002-9660-7610

Lalsingh Khalsa This is me

Publication Date November 29, 2019
Published in Issue Year 2019 Volume: 22 Issue: 4

Cite

APA Bhoyar, S., Varghese, V., & Khalsa, L. (2019). Transient temperature distribution and thermal stresses in a thick plate subjected to random pulses. International Journal of Thermodynamics, 22(4), 209-217. https://doi.org/10.5541/ijot.607900
AMA Bhoyar S, Varghese V, Khalsa L. Transient temperature distribution and thermal stresses in a thick plate subjected to random pulses. International Journal of Thermodynamics. November 2019;22(4):209-217. doi:10.5541/ijot.607900
Chicago Bhoyar, Sonal, Vinod Varghese, and Lalsingh Khalsa. “Transient Temperature Distribution and Thermal Stresses in a Thick Plate Subjected to Random Pulses”. International Journal of Thermodynamics 22, no. 4 (November 2019): 209-17. https://doi.org/10.5541/ijot.607900.
EndNote Bhoyar S, Varghese V, Khalsa L (November 1, 2019) Transient temperature distribution and thermal stresses in a thick plate subjected to random pulses. International Journal of Thermodynamics 22 4 209–217.
IEEE S. Bhoyar, V. Varghese, and L. Khalsa, “Transient temperature distribution and thermal stresses in a thick plate subjected to random pulses”, International Journal of Thermodynamics, vol. 22, no. 4, pp. 209–217, 2019, doi: 10.5541/ijot.607900.
ISNAD Bhoyar, Sonal et al. “Transient Temperature Distribution and Thermal Stresses in a Thick Plate Subjected to Random Pulses”. International Journal of Thermodynamics 22/4 (November 2019), 209-217. https://doi.org/10.5541/ijot.607900.
JAMA Bhoyar S, Varghese V, Khalsa L. Transient temperature distribution and thermal stresses in a thick plate subjected to random pulses. International Journal of Thermodynamics. 2019;22:209–217.
MLA Bhoyar, Sonal et al. “Transient Temperature Distribution and Thermal Stresses in a Thick Plate Subjected to Random Pulses”. International Journal of Thermodynamics, vol. 22, no. 4, 2019, pp. 209-17, doi:10.5541/ijot.607900.
Vancouver Bhoyar S, Varghese V, Khalsa L. Transient temperature distribution and thermal stresses in a thick plate subjected to random pulses. International Journal of Thermodynamics. 2019;22(4):209-17.