Machfudh, Mochammad (2019) Solusi Analitik Dan Numerik Dari Model Saturasi Difusi Tekanan Rendah Unsur Interstisi Terhadap Titanium. Sarjana thesis, Universitas Brawijaya.
Abstract
Penguatan kekerasan pada permukaan titanium perlu dilakukan untuk merekayasa bahan agar lebih keras dengan cara dilapisi. Pelapisan ini dilakukan dengan proses nitriding pada suhu yang sangat tinggi. Namun proses nitriding pada suhu tinggi menyebabkan titanium bersifat fatigue. Untuk mengatasi hal tersebut telah dilakukan penelitian terkait nitriding menggunakan hollow cathode pada suhu yang rendah. Hollow cathode berfungsi untuk memadatkan intensitas ion nitrogen sebelum ditumbukan kedalam titanium. Dari penelitian tersebut dihasilkan penguatan pada titanium. Namun terjadi keanehan dengan munculnya fase
English Abstract
Reinforcement of the material on the surface of titanium must be enhanced to strengthen the material by coating. This coating is carried out by nitriding the process at very high temperatures. However, nitriding at high temperatures leads to fatigue of titanium. To overcome this, studies on nitriding using a hollow cathode were conducted at low temperatures. The hole cathode serves to condense the intensity of nitrogen ions before they are piled up to titanium. From these investigations, a reinforcement was found on titanium. But something strange happens with the appearance of the ω-Ti phase on Titanium. This phase should occur from very high to low temperatures when cooling β-Ti to α -Ti. The problem with the occurrence of ω-Ti in low-temperature nitriding is too complex, and no model has yet been found to explain this problem. To find a solution, the diffusion model of the interstitial elements in titanium needs to be studied in several related journals. Reactive diffusion models explain that chemical reactions occur on the surface of titanium after diffusion to titanium has reached saturation conditions. The analytical solution of this model must be repeated to determine the optimal temperature, time and velocity of the interstitial elements. Solutions like analytics are not easy, so numerical solutions are needed to simplify the search for solutions from the model. The method used in analytical solutions is to use a first order differential equation, a second order differential equation, and a Laplace transform. Numerical solutions to differential equations use several methods, namely forward Euler method, Heun method, Runge-Kutta order 2, Runge-Kutta order 3, Runge-Kutta order 4. The numerical solution for non-linear equations changes with respect to the time and the space resolved with the methods FTCS and BTCS.
Other obstract
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| Item Type: | Thesis (Sarjana) |
|---|---|
| Identification Number: | SKR/MIPA/2019/476/052001640 |
| Uncontrolled Keywords: | Titanium, Nitriding, Persamaan Difusi, Persamaan diferensial parsial, syarat batas, FTCS, BTCS, Titanium, Nitriding, Diffusion equation, Different partial equation, Boundary conditions, FTCS, BTCS |
| Subjects: | 500 Natural sciences and mathematics > 515 Analysis > 515.3 Differential calculus and equations > 515.35 Differential equations |
| Divisions: | Fakultas Matematika dan Ilmu Pengetahuan Alam > Fisika |
| Depositing User: | Budi Wahyono Wahyono |
| Date Deposited: | 10 Aug 2020 08:01 |
| Last Modified: | 10 Aug 2020 08:01 |
| URI: | http://repository.ub.ac.id/id/eprint/179235 |
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