Faculty Publications
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Publications by NITK Faculty
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Item A study on the effect of multiple abrasive particle impact on the crater sphericity in AWJM using FEA(Elsevier Ltd, 2022) Balaji, B.; Satyanarayana, S.The workhorse of the Titanium alloy industry i.e., Ti-6Al-4 V, is classified among the foremost widely utilized Titanium (Ti)-alloys and is broadly utilized in aviation and medication industry where low-density, supreme quality and exceptional erosion resistance are required. Since this material has high strength, it is very hard to process by means of conventional methods of machining. Therefore, unconventional machining methods like Abrasive Waterjet Machining (AWJM) become of great importance. Current work exhibits an explicit modelling of multiple abrasive particles impact on Ti-6Al-4 V in AWJM using Finite Element Analysis (FEA) approach. For experimental verification purpose, the crater geometry made on the Ti-6Al-4 V were determined and compared with the crater sphericity values obtained through FEA simulation. Also, the influence of velocity of abrasive particles and jet impact angle on sphericity of the crater was examined. For experimental verification of FEA simulations, the impact angle emerged as a key process parameter. The error between the simulation and experimental crater sphericity values was below 20%. It was also observed that the simulation results were accurate upto 0.04% for 90° impact angle and overall, the simulation model showed better results for 220 m/s abrasive particle velocity. © 2022Item Asymptotic Behavior of Solutions to the Diffusion Equation(Indian National Science Academy, 2018) Satyanarayana, S.; Mohd, A.; Sahoo, M.R.We study asymptotic behavior of solutions to an initial value problem posed for heat equation. For which, we construct an approximate solution to the initial value problem in terms of derivatives of Gaussian by incorporating the moments of initial function. Spatial shifts are introduced into the leading order term as well as penultimate term of the approximation. This paper is continuation to the work of Yanagisawa [14]. © 2018, The Indian National Science Academy.Item Solutions to viscous burgers equations with time dependent source term(Texas State University - San Marcos, 2021) Satyanarayana, S.; Sahoo, M.R.; Berke, V.P.We study the existence and uniqueness of weak solutions for a Cauchy problem of a viscous Burgers equation with a time dependent reaction term involving Dirac measure. After applying a Hopf like transformation, we investigate the associated two initial boundary value problems by assuming a common boundary. The existence of the boundary data is shown with the help of Abel’s integral equation. We then derive explicit representation of the boundary function. Also, we prove that the solutions of associated initial boundary value problems converge uniformly to a nonzero constant on compact sets as t approaches ?. © 2021 Texas State University.Item Generalized solutions of an inhomogeneous inviscid Burgers equation(Indian National Science Academy, 2022) Satyanarayana, S.; Manasa, M.; Berke, P.B.We derive generalized solutions of an inhomogeneous inviscid Burgers equation using vanishing viscosity method. This is achieved with the classical solution of a concerned viscous inhomogeneous Burgers equation. We then study Riemann problem for a de-coupled system. The weak solutions of the system are explicitly obtained by Volpert product concept. There are infinitely many real valued solutions for the system in the case of rarefaction wave and the weak solutions consist of δ- measures in the case of shock wave. Motivated by the structure of weak solutions, we construct the explicit generalized solutions for a more general de-coupled system. © 2021, The Indian National Science Academy.