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Abby Rafdi Cakrasena
Abstrak :
Dalam melakukan pengamatan gerak Brown untuk mencari nilai koefisien difusi, dibutuhkan sebuah sistem yang memiliki akurasi tinggi untuk pendeteksian koordinat partikel dalam orde mikrometer. Pada penelitian ini dibuat sebuah sistem untuk menganalisa pergerakan partikel microbead dalam larutan nanogold dengan variasi temperatur dalam bentuk input berupa video dan menghasilkan output berupa nilai koefisien difusi dari partikel yang terdapat pada video. Sistem ini memanfaatkan machine learning sebagai detektor koordinat partikel. Digunakan TensorFlow Object Detection API sebagai backend sistem ini dan CenterNet sebagai aristektur model yang digunakan. Koordinat partikel berhasil dideteksi dengan rata-rata error pada pendeteksian senilai 0.6 piksel. Metode mean squared displacement digunakan untuk menghitung koefisien difusi. Didapatkan nilai koefisien difusi untuk microbead pada suhu 36, 37, 38, 39, 40oC secara berurutan sebesar 8.581 x 10-14, 9.925 x 10-14, 10.113 x 10-14, 10.374 x 10-14, 14.875 x 10-14 m2/s. Didapati nilai kenaikan koefisien difusi setiap kenaikan 1oC sebesar 1.3037 x 10-14 m2/s. ......In observing Brownian motion to find the value of the diffusion coefficient, a system that has high accuracy is needed for the detection of particle coordinates in domain of micrometers. In this study, a system was created to analyze the movement of microbead particles in a nanogold solution with temperature variations with video file as an input and produce diffusion coefficient value of the particles in the video as the output. This system utilizes machine learning as a particle coordinate detector. The TensorFlow Object Detection API is used as the backend of this system and CenterNet as the model architecture. The particle coordinates were detected successfully with an average detection error of 0.6 pixels. The mean squared displacement method is used to calculate the diffusion coefficient. The diffusion coefficient values ​​for microbeads at a temperature of 36, 37, 38, 39, 40oC respectively were 8,581 x 10-14, 9.925 x 10-14, 10,113 x 10-14, 10,374 x 10-14, 14,875 x 10-14m2/s. It was found that the value of the increase in the diffusion coefficient for every 1oC increase was 1.3037 x 10-14 m2/s.
Depok: Fakultas Matematika dan Ilmu Pengetahuan Alam Universitas Indonesia, 2021
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UI - Skripsi Membership  Universitas Indonesia Library
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Zulfahmi
Abstrak :
Salah satu metode penelitian yang ikut berperan penting dalam pengukuran berskala mikro yakni Brownian Motion yang merupakan fenomena gerakan acak beberapa partikel yang diamati di bawah lensa objektif mikroskop akibat tabrakan antarpartikel dan molekul cairan di sekitarnya. Dalam penelitian ini akan digunakan Brownian Motion untuk menentukan nilai viskositas melalui perpindahan partikel polimer (microbead) terhadap perubahan konsentrasi cairan (gliserin dan NaCl) dan ukuran partikel polimer. Pengukuran dilakukan menggunakan rancangan sistem optik seperti kamera dan lensa objektif mikroskop. Pergerakan partikel kemudian direkam dan hasil citra rekaman diolah menggunakan image processing pada MATLAB. Dengan menggunakan fungsi korelasi, lintasan pergerakan partikel dapat dilacak hingga diperoleh data perpindahan partikel untuk setiap frame. Data ini kemudian diolah ke dalam persamaan mean square displacement untuk menentukan nilai viskositas cairan tersebut melalui nilai koefisien difusi partikel, yang merupakan hasil fitting least square dari mean square displacement. Dari data yang telah diperoleh, kesalahan literatur dari pengukuran viskositas menggunakan partikel berukuran 1 mikron pada larutan gliserin dengan variasi 10%-40% bernilai tidak lebih dari 10% dibandingkan pengukuran viskositas menggunakan partikel berukuran 3 dan 5 mikron. Untuk pengukuran viskositas menggunakan partikel 1 mikron pada larutan NaCl dengan variasi konsentrasi 0%, 50%, dan 100% memiliki nilai kesalahan literatur kurang dari 7%. ......One research method that plays an important role in micro-scale measurement is Brownian Motion, which is a phenomenon of random movement of several particles observed under the microscope's objective lens due to collisions between particles and liquid molecules around it. In this study Brownian Motion will be used to determine the value of viscosity through the displacement of polymer particles (microbead) to the changes of fluid concentration (glycerin and NaCl) and polymer particle size. Measurements were made using the design of optical systems such as camera and microscope objective lense. The movement of particles is then recorded and the recording image results are processed using image processing in MATLAB. By using the correlation function, the trajectory of particle movement can be traced until particle displacement data is obtained for each frame (in second). From the data, the literature error from the viscosity measurement uses 1-micron particle in the glycerin solution with a variation of 10% - 40% is no more than 10% compared to the viscosity measurement using 3 and 5-micron particle. For the measurement of viscosity using 1-micron particle in NaCl solution with variations in the concentration of 0%, 50%, and 100%, the literature error is less than 7%.
Depok: Fakultas Matematika dan Ilmu Pengetahuan Alam Universitas Indonesia, 2019
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UI - Skripsi Membership  Universitas Indonesia Library
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Md. Shariful Alam
Abstrak :
In this paper, the problem of natural convective heat transfer of kerosene-cobalt nanofluid inside a quarter circular enclosure in the presence of oriented magnetic field has been studied numerically using two-component non-homogeneous model. The round wall of the enclosure is maintained at constant low temperature; the left vertical wall is adiabatic whereas the bottom wall is considered as heated uniformly and non-uniformly. The effects of Brownian motion and thermophoresis are incorporated into the nanofluid model. The Galerkin weighted residual finite element method has been employed to solve the governing partial differential equations after converting them into a non-dimensional form using a suitable transformation of variables. Comparison with previously published work is performed and excellent agreement is obtained. The effects of various model parameters such as Hartmann number, Rayleigh number and magnetic field inclination angle on the streamlines, isotherms and isoconcentrations have been displayed graphically for both uniformly as well as non-uniformly heated bottom wall. In addition, the heat transfer augmentation for various model parameters as well as various thermal boundary conditions have been done in light of the average Nusselt number from the bottom heated wall. The obtained numerical results show that the average Nusselt number is an increasing function of the Rayleigh number, while it is a decreasing function of the Hartmann number.
Jagannath University. Department of Mathematics, 2017
500 TIJST 22:1 (2017)
Artikel Jurnal  Universitas Indonesia Library