Abstract
Thermal stresses in the combustor of gas-turbines are computed using non-dimensional parameters. Buckingham pi theorem was used to arrange the listed relevant parameters into non-dimensional groups. In testing the validity of the functional relation of the non-dimensional independent parameters, use is made of the prevailing temperatures of the combustor in operation. A computer program was used to enhance computations. The results showed an interesting way of influencing the axial stresses. To reduce stresses in gas-turbine combustors, a method of varying the independent parameter that is of radius ratio oriented and thickness dependent was adopted. This showed a reduction of the axial stresses to minimal levels using the parameters. Plots were made and a point of inflection that manifested itself in the presentation of the axial stress function was further investigated upon. It turned out to be a point of abnormal stress level and out-of-trend temperature profile. The use of non-dimensional consideration proved adequate in the computation of axial stresses. The results showed a 2 percent difference from existing values of stresses got from a transient thermal loading of a combustor.
Highlights
Induced axial stresses or shocks occur in materials when they are heated or cooled
The results showed an interesting way of influencing the axial stresses
The results showed a 2 percent difference from existing values of stresses got from a transient thermal loading of a combustor
Summary
Induced axial stresses or shocks occur in materials when they are heated or cooled. Many structural elements of hollow cylinders subjected to rapid internal heating crack or deform due to thermally induced axial stresses produced in them. Kumar and Rajgopalan, [2] performed non-dimensional stress analysis on cylindrical objects They obtained plots of non-dimensional tangential stress against non-dimensional length of cylinder. Ootoa et al [5] determined the temperature and thermal stress distribution in the cross-section of a non-homogenous hollow circular cylinder due to a moving heat source in the axial direction, and found that; the maximum temperature occurs at the region through which the moving heat source passed. Dimensional analysis using the Buckingham theorem has been applied in analyzing the stress problems This presents the axial stresses in few independent non-dimensional parameters. The involvement of a computer code has enabled fast computation of the axial stresses
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