P. H. Munjankar,
- Research Scholar, Dr Ambedkar College of Arts, Commerce & Science, Chandrapur, Maharashtra, India
Abstract
This paper is concerned with inverse quasi-static thermal stress analysis in a thin circular cylinder due to internal heat generation under transient temperature conditions. The internal heat generation is modeled as a cylindrical surface heat source located in the annular region along the axial length of the cylinder. This source is placed concentrically inside the cylinder and begins releasing heat spontaneously at a specific point in time. The thin circular cylinder is subjected to a known internal heat flux, while convective heat dissipation occurs through both the upper surface and the circular boundary surface. However, the convective heat flux at the upper surface is not known and must be determined. To achieve this, an inverse thermal analysis is carried out to estimate the unknown heat flux. The problem is formulated as a non-homogeneous boundary value problem under transient thermal conditions. Analytical methods based on integral transforms are employed to derive the solution. The obtained results provide temperature and thermal stress distributions in the cylinder. These results are further illustrated graphically to visualize the effect of internal heat generation and convective boundary conditions. The approach offers a useful method for evaluating unknown thermal parameters in cylindrical structures subjected to complex internal heat sources and boundary heat exchange. This analysis is relevant to practical engineering problems where accurate thermal stress predictions are crucial for assessing material performance and structural integrity under transient thermal loading.
Keywords: Quasi-static, thermal stress, circular cylinder, heat generation, heat flux
[This article belongs to Recent Trends in Fluid Mechanics ]
P. H. Munjankar. Quasi-Static Thermal Stress Analysis in a Thin Circular Cylinder Due To Internal Heat Generation Under Transient Temperature Conditions. Recent Trends in Fluid Mechanics. 2025; 12(02):17-28.
P. H. Munjankar. Quasi-Static Thermal Stress Analysis in a Thin Circular Cylinder Due To Internal Heat Generation Under Transient Temperature Conditions. Recent Trends in Fluid Mechanics. 2025; 12(02):17-28. Available from: https://journals.stmjournals.com/rtfm/article=2025/view=216617
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Recent Trends in Fluid Mechanics
| Volume | 12 |
| Issue | 02 |
| Received | 15/05/2025 |
| Accepted | 02/06/2025 |
| Published | 10/07/2025 |
| Publication Time | 56 Days |
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