International Journal of Innovative Technology and Exploring Engineering (IJITEE) ISSN: 2278-3075, Volume-9 Issue-2, December 2019 2578 Published By: Blue Eyes Intelligence Engineering & Sciences Publication Retrieval Number: B7175129219/2019©BEIESP DOI: 10.35940/ijitee.B7175.129219 using Internal Moving Heat Source Yogita M. Ahire, Kirtiwant P. Ghadle, Ahmed A. Hamoud ABSTRACT: A hollow cylinder having cylindrical hole at the center has been examined under the temperature variation condition. This composition deals with study of temperature distribution in thin hollow cylinder and corresponding stresses. The author has worked to carry out the transient thermo elastic problem for evaluation of temperature distribution, displacement and thermal stresses of a thin hollow cylinder. The known non homogeneous boundary conditions are applied to obtain the solution of this problem. The integral transform technique yields the solution to the problem. The analysis contains an infinite series. The variation of said parameters observed and analyzed by using necessary graphs. Keyword: Thin hollow cylinder, Fourier sine transform, Marchi Zgrablich transform, Internal moving heat source, Thermal stresses. I. INTRODUCTION: The word elasticity comprises the properties of solid materials. The variation in temperature is responsible for producing the stresses along any of dimensions in solids. The solid rod, circular plates, and rectangular plates have been considered and analyzed for variation of temperature. Hollow cylinders are attentive to transfer of heat from one place to other. This article relates directly to temperature distribution and thermal stresses through a thin hollow cylinder. It has been studied and analyzed by the design of the mathematical model. This model entirely depends on known non-homogeneous boundary conditions and estimated by using an integraltransform technique. The hollow cylinder has been exposed to determination of stresses and temperature distribution by various methods of transform technique.The temperature distribution and thermal stresses have been determined by the Hankel transform technique; Laplace transforms technique, Green's theorem, etc. Chen [1] focused on the transversely isotropic hollow cylinder for evaluation of linear thermoelasticity. A direct power series approximation through the application of the Lanczos-Chebyshev method is chosen for hollow cylinder of finite length. A series of coefficients are determined by collocation at selected Chebyshev points. The magnitude of end effects are observed and recorded. Grysa et.al.[2-3] assumed a one-dimensional transient thermoelastic problem and determined heating temperature and the heat flux on the surface of an isotropic infinite slab. The author aimed at the temperature and corresponding stresses in one dimension for shapes like a sphere, a circular plate, and an infinite plate inversely. Revised Manuscript Received on December 05, 2019. Yogita M. Ahire,Department of Applied Science, PVG’S College of Engineering, Nashik, Maharashtra, India. Email: yogitarajole7@gmail.com Kirtiwant P. Ghadle, Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad, India. Email: drkp.ghadle@gmail.com Ahmed A. Hamoud, Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad, India. Email: drahmedselwi985@gmail.com Known boundary conditions in direct problem are applied while the inverse problem contains the dependence of boundary conditions on temperature and different stress. A Laplace transform technique is used for this.Walde and Khobragade [4] obtained the solution for the transient thermoelastic problem of a finite length hollow cylinder. The author attempted to find temperature gradient, displacement and stress functions at any point of the hollow cylinder by an integral transform technique. Further Deshmukh and Wankhede [5] carried out a work on an axi- symmetric inverse steady-state problem of thermoelastic deformation to find the temperature, displacement and stress functions on the outer curved surface of a finite length hollow cylinder. The author found a suitable method of Marchi-Zgrablich and Laplace integral transform technique for treatment of hollow cylinder. An inverse unsteady-state behavior of finite thick hollow cylinder with internal heat sources with third kind boundary conditions for evaluation of linear temperature, displacement, and stress function. The MATHCAD -7 software is used for solution and calculation of different terms in the form of infinite series. Recently Gahane et.al. [6] emphasized on the thermoelastic behavior of a finite hollow cylinder in general by integral transformation techniques. The sources have been considered a linear function of the temperature and boundary conditions of the radiation type. This work results in a series of Bessel functions. The cylinder of Aluminum is preferred for this purpose. Manthena and Kedar [7] worked on functionally graded thick hollow cylinder with temperature-dependent material properties and achieved the temperature distribution and thermal stresses. It is found that all the material properties assumed the dependence of temperature and spatial coordinate z. The Poisson ratio remains independent of temperature. It is evaluated for ceramic-metal-based functionally graded material, in which Alumina is selected as ceramic and nickel as metal. Sirakowski and Sun [8] searched the results for a hollow cylinder of finite length and got an exact solution.The effect of thermal and mechanical load on the hollow cylinder of finite length has discussed here. The Bessel function finds it suitable for agreement between the surface and end boundary conditions. R.T. Walde et.al.[9] treated a solid circular cylinder where the linear function of the temperature is assumed. This is done with boundary conditions of the radiation type and applied integral transform techniques. The estimated result contains Bessels function for Aluminum material. Ghonge and Ghadle [10] is the estimation of the work on transient thermoelasticity of a semi-infinite hollow cylinder for evaluation of temperature, displacement and thermal stresses with the assumed conditions. The Marchi-Zgrablich transform and Fourier sine transform applied simultaneously for solving the heat conduction equation. Aziz and Torabi[11] represented the study of hollow cylinder withconvective heating on the inside surface and convective Thermoelastic Behavior In Thin Hollow Cylinder