2.Introduction: During the second half of 20 th century, non-isothermal problems of the theory of elasticity became increasingly important. This is due to their wide application in diverse fields. The high velocities of modern aircraft give rise to aerodynamic heating, which produces intense thermal stresses that reduce the strength of aircraft structure. Recently D. T. Solanke, M. H. Durge have studied the thermal stresses in thin cylinder with Dirichlet's, Neumann's, Robin's boundary condition and in thin hollow cylinder with Dirichlet's, Neumann's boundary condition. Now authors in this present paper determine temperature, thermal stresses, in thin hollow cylinder with Robis's boundary condition, determined by
Abstract-As we know, thermal behavior of structures must be considered in many situation such as study of thermal effect on thermal strains, stresses, displacement. There is a practical requirement of solid sphere in various modern project. In this task, we endeavour to solve the differential equation of heat conduction, by applying heat flux to solid sphere of radius 'a' which is free from traction, when interior temperature is known. The initial temperature of the sphere is same as that of surrounding temperature, which is zero. The sphere is subjected to transient heat supply, angular symmetric i.e. along radial direction, at the outer surface . In this article, an attempt is being made to solve the differential equation of heat conduction. The result is obtained in a series form of Bessel function. The result is illustrated numerically and graphically. The obtained result may be useful in solving engineering problem, particularly for industrial problem, machines subjected to heating and cooling.
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