Difference between revisions of "Muhammad Shidqy Wasis"

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(Tugas Penjelasan dan Penurunan Transport Reynolds)
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=Biodata=
 
=Biodata=
 
[[File:Shidqy w Background.png|left|220 px]]
 
[[File:Shidqy w Background.png|left|220 px]]
'''Nama:'''           
+
'''Name:'''           
 
:Muhammad Shidqy Wasis
 
:Muhammad Shidqy Wasis
'''NPM:'''           
+
'''Student Number (NPM):'''           
 
:2106727935
 
:2106727935
'''Lahir:'''         
+
'''Born:'''         
:2 September 2004 (18 tahun)
+
:2 September 2004 (18 years)
 
:Bandung, Indonesia
 
:Bandung, Indonesia
'''Program Studi:'''  
+
'''Major:'''  
:Teknik Mesin (angkatan 2021)
+
:Mechanical Engineering (class of 2021)
  
 
 
 
 
 
__TOC__
 
__TOC__
  
=Konsep Mekanika Fluida=
+
=Assignment 1: Design and Optimization of Compressed Hydrogen Storage=
: '''Pengertian Mekanika Fluida'''
 
: Mekanika fluida adalah cabang ilmu teknik yang mempelajari perilaku fluida (zat yang dapat mengalir, seperti gas dan cairan) dalam keadaan diam dan bergerak. Ilmu ini mencakup studi tentang sifat-sifat fluida, seperti kepadatan, tekanan, viskositas, dan aliran fluida di dalam sistem tertentu.
 
: Mekanika fluida penting dalam banyak aplikasi teknik, seperti dalam perancangan alat transportasi (seperti pesawat terbang, mobil, dan kapal), pembangunan infrastruktur (seperti jembatan dan bendungan), pengolahan bahan baku industri (seperti proses pengolahan minyak dan gas), dan pemodelan lingkungan (seperti pengelolaan air dan cuaca). Dalam mekanika fluida, terdapat dua cabang utama yaitu mekanika fluida teoretis dan mekanika fluida eksperimental.
 
  
 
+
[[File: Hidrogen satu.png|500px|thumb|middle|Compressed Hydrogen Tank Scheme (source: energy.gov)]]
 
 
: '''Pengertian Kinematika'''
 
: Kinematika adalah cabang ilmu fisika yang mempelajari gerakan benda tanpa mempertimbangkan penyebab gerakan tersebut, seperti gaya dan momentum. Ilmu ini mencakup studi tentang posisi, kecepatan, dan percepatan benda dalam ruang dan waktu. Kinematika seringkali digunakan dalam perhitungan pergerakan benda, baik dalam bidang fisika, matematika, maupun teknik.
 
 
 
=Tugas 1: ChatGPT=
 
: '''Tell me what manometer is'''
 
 
 
: A manometer is a device used to measure pressure of a fluid. It consists of a tube, typically made of glass or transparent plastic, partially filled with a liquid (such as water or mercury) and connected to the system or equipment being measured. When the pressure inside the system changes, the liquid in the tube will move up or down, indicating the pressure difference between the system and atmospheric pressure.
 
 
 
: There are various types of manometers, including U-tube manometer, inclined-tube manometer, and well-type manometer. U-tube manometer is the most common type, which consists of a U-shaped tube with one end connected to the system being measured and the other end open to atmospheric pressure. The difference in liquid level between the two sides of the tube indicates the pressure difference between the system and atmospheric pressure.
 
 
 
: Manometers are commonly used in industries such as chemical, petroleum, and HVAC (heating, ventilation, and air conditioning) to measure pressure of fluids in various equipment, such as pipelines, tanks, and heat exchangers. They are also used in laboratory experiments and scientific research to measure pressure of gases and liquids.
 
 
 
 
 
 
 
: '''How does it work'''
 
: The principle of operation of a manometer is based on the fact that the pressure exerted by a fluid is directly proportional to the height of the fluid column. When a manometer is connected to a system with an unknown pressure, the fluid in the tube will move to a certain height due to the pressure difference between the system and atmospheric pressure.
 
 
 
: The height of the fluid column in the tube is measured and converted to the pressure value using the appropriate conversion factor. The conversion factor depends on the fluid properties (such as density) and the unit of measurement used.
 
 
 
: For example, in a U-tube manometer, the height difference (h) between the two sides of the tube is measured and converted to pressure using the formula P = ρgh, where P is the pressure difference between the system and atmospheric pressure, ρ is the density of the fluid in the tube, g is the acceleration due to gravity, and h is the height difference.
 
 
 
: In general, manometers require calibration to ensure accurate and reliable measurements. Calibration involves comparing the readings of the manometer to a known pressure standard and adjusting the calibration factor if necessary.
 
 
 
 
 
 
 
: '''What if the room is in vaccuum condition does manometer still working?'''
 
: If the room is in a vacuum condition, a conventional manometer, which relies on the difference in pressure between the system being measured and atmospheric pressure, will not work. This is because there is no atmospheric pressure to provide a reference point for the pressure measurement.
 
 
 
: However, there are specialized types of manometers that are designed to measure pressures in vacuum conditions. These include absolute pressure manometers and vacuum gauges.
 
 
 
: An absolute pressure manometer measures the pressure of a system relative to a perfect vacuum (zero pressure). This type of manometer is used in applications where the pressure measurement needs to be independent of the atmospheric pressure, such as in vacuum systems or high-altitude testing.
 
 
 
: A vacuum gauge, on the other hand, is specifically designed to measure low pressures in a vacuum. There are several types of vacuum gauges, including thermal conductivity gauges, ionization gauges, and capacitance manometers.
 
 
 
: In summary, a conventional manometer will not work in a vacuum condition, but specialized types of manometers and vacuum gauges can be used to measure pressure in such conditions.
 
 
 
 
 
 
 
: '''What differs conventional manometer and specialized manometer beside that?'''
 
: The main difference between a conventional manometer and a specialized manometer is the type of pressure measurement they are designed for.
 
 
 
: A conventional manometer, such as a U-tube manometer, measures the difference in pressure between a system being measured and atmospheric pressure. It works by comparing the pressure of the fluid in the system to the pressure of the fluid in the open end of the manometer, which is exposed to atmospheric pressure.
 
 
 
: On the other hand, specialized manometers are designed for specific pressure ranges or conditions. For example, an absolute pressure manometer measures the pressure of a system relative to a perfect vacuum, while a vacuum gauge is designed to measure low pressures in a vacuum.
 
 
 
: Specialized manometers may also use different measurement principles and techniques. For example, a capacitance manometer measures pressure by detecting the change in capacitance caused by the deflection of a diaphragm due to pressure changes. An ionization gauge measures pressure by detecting the ionization of gas molecules in a vacuum.
 
 
 
: Another difference is in their accuracy and precision. Specialized manometers may have higher accuracy and precision than conventional manometers, but they may also be more expensive and require more maintenance and calibration.
 
 
 
: In summary, the main differences between a conventional manometer and a specialized manometer are the type of pressure measurement, measurement principles and techniques, and accuracy and precision.
 
 
 
=Tugas 2: Manometer=
 
 
 
:'''Pertanyaan:'''
 
:1. Jelaskan mekanisme kerja manometer analog
 
:2. Jelaskan mekanisme kerja manometer tipe U (fluida air)
 
:3. Tuliskan hasil pengukuran P1, P2, dan P2 (ketika menggunakan manometer tipe U)
 
:4. Faktor apa yang mempengaruhi tinggi rendahnya tekanan
 
:5. Tuliskan satuan yang ada pada manometer tersebut dan konversi ke dalam satuan SI
 
:6. Buatlah skala tekanan pada manometer tersebut
 
 
 
 
 
 
 
 
 
:'''Jawaban:'''
 
:1. Manometer analog menggunakan prinsip Keseimbangan Hidrostatik, dimana cairan pada tabung akan mengendap pada ketinggian yang sama di setiap kaki tabung ketika kedua ujungnya terbuka terhadap tekanan atmosfer. Penunjuk biasanya terdiri dari jarum yang menunjukkan tekanan pada skala yang terukir pada layar manometer. Semakin besar tekanan yang diterapkan pada tabung, semakin besar pula sudut yang dibentuk oleh tabung tersebut, dan semakin jauh jarum bergerak di sepanjang skala.
 
 
 
:2. Mekanisme kerja manometer tipe U terdiri dari dua kolom pipa U yang terisi dengan air, terhubung pada bagian bawah dan atasnya. Tekanan yang diberikan pada salah satu ujung manometer akan menyebabkan perbedaan ketinggian kolom air pada dua sisi manometer. Skala pada manometer tipe U biasanya diberi nilai dalam satuan tekanan yang diukur, seperti psi atau pascal. Dalam pengukuran tekanan fluida, manometer tipe U sering digunakan untuk mengukur tekanan statis atau tekanan dalam pipa yang tidak bergerak.
 
 
 
:3. Awal =  P1: 10 mbar, P2 (analog): 1,5 mbar, P2 (tipe U): 9 mmH2O
 
:  Akhir = P1: 8,5 mbar, P2 (analog): 1,2 mbar, P2 (tipe U): 12 mmH2O
 
 
 
:4. Volume, Sifat dan Jenis zat, ketinggian zat, suhu, dan Luas permukaan
 
 
 
:5. Manometer = Milibar, SI = Pascal Konversi : P1 = 10 kPa P2 =150 Pa
 
 
 
:6. 1 milibar = 100 pascal
 
 
 
=Tugas 3: Hasil Praktikum Alat Pengukur Tekanan=
 
 
 
:'''Macam-Macam Alat Ukur'''
 
:Pada praktikum di hari Sabtu, 4 Maret 2023 kami mempelajari mengenai macam-macam alat pengukur tekanan, alat pengukur tersebut antara lain:
 
:1. Manometer U
 
:Mekanisme kerja manometer tipe U terdiri dari dua kolom pipa U yang terisi dengan air, terhubung pada bagian bawah dan atasnya. Tekanan yang diberikan pada salah satu ujung manometer akan menyebabkan perbedaan ketinggian :kolom air pada dua sisi manometer. Skala pada manometer tipe U biasanya diberi nilai dalam satuan tekanan yang diukur, seperti psi atau pascal. Dalam pengukuran tekanan fluida, manometer tipe U sering digunakan untuk mengukur :tekanan statis atau tekanan dalam pipa yang tidak bergerak.
 
 
 
:2. Manometer Analog
 
:Manometer analog menggunakan prinsip Keseimbangan Hidrostatik, dimana cairan pada tabung akan mengendap pada ketinggian yang sama di setiap kaki tabung ketika kedua ujungnya terbuka terhadap tekanan atmosfer. Penunjuk :biasanya terdiri dari jarum yang menunjukkan tekanan pada skala yang terukir pada layar manometer. Semakin besar tekanan yang diterapkan pada tabung, semakin besar pula sudut yang dibentuk oleh tabung tersebut, dan semakin :jauh jarum bergerak di sepanjang skala.
 
 
 
:3. Pressure Transducer
 
:Pressure transducer adalah alat yang digunakan untuk mengukur tekanan suatu fluida atau gas dan mengubahnya menjadi sinyal listrik. Cara kerja pressure transducer adalah dengan menggunakan sensor tekanan yang sensitif :terhadap perubahan tekanan, kemudian mengubah perubahan tekanan menjadi sinyal elektronik yang dapat diproses oleh sistem kontrol atau perangkat pengukur. Output yang dihasilkan oleh pressure transducer dapat berupa sinyal :listrik seperti tegangan atau arus, atau dapat berupa output digital seperti pulsa.
 
 
 
 
 
 
 
:'''Studi Kasus'''
 
:Berapa ketinggian fluida (air, raksa, minyak) yang bisa ditimbulkan akibat dari tekanan sebesar 3 mBar?
 
 
 
:P = 3mBar ≈ 300 Pa
 
(air) = 1000 kg/m^3
 
:ρ(raksa) = 13.600 kg/m^3
 
:ρ(minyak) = 800 kg/m^3
 
  
:g = 9,81 m/s^2
+
'''Compressed Hydrogen Definitions'''
:ΔP = ρ.g.Δh
+
:Compressed hydrogen storage refers to the method of storing hydrogen gas by compressing it to high pressures and storing it in specially designed containers or tanks. The process involves increasing the pressure of hydrogen gas, typically to levels between 350 and 700 bar (5,000 to 10,000 pounds per square inch, or psi), in order to achieve a higher density and maximize the amount of hydrogen that can be stored within a given volume.
 +
:Compressed hydrogen storage offers a practical and established solution for storing hydrogen in various applications, including hydrogen fuel cell vehicles, stationary energy storage, and industrial processes. It provides advantages such as high energy density, quick refueling times, and a reliable and well-established technology. However, it also poses challenges related to the storage pressure, safety considerations, and energy losses during compression.
  
 
 
 
 
  
:Jawab:
+
'''Specification of Compressed Hydrogen Tank'''
:• Air
+
:Volume: 1 liter
:Δh = ΔP/ρ.g
+
:Pressure rate: 8 bar (800 kPa)
:h = 300/1000 x 9,81
+
:Production cost: IDR 500.000
:h = 0,0306 m ≈ 3,06 cm
+
:Objectives: Minimize surface area and material thickness that can withstand an 8 bar pressure
 
+
:Design variables: Geometry and material selection (included thickness and strength aspect)
:• Raksa
 
:Δh = ΔP/ρ.g
 
:h = 300/13.600 x 9,81
 
:h = 0,00225 m ≈ 0,22 cm
 
 
 
:• Minyak
 
:Δh = ΔP/ρ.g
 
:h = 300/800 x 9,81
 
:h = 0,0382 m ≈ 3,82 cm
 
 
 
=Tugas 4: 3 Soal=
 
 
 
[[File:Page 1 Tugas 2.jpeg|220 px]]
 
[[File:Page 2 Tugas 2.jpeg|220 px]]
 
 
 
 
 
  
 
 
 
 
  
=Tugas 5: Kinematika Fluida=
+
'''Factors and Processes Involved in Designing Compressed Hydrogen Tank'''
 +
:Designing and optimizing hydrogen storage involves considering various factors and processes to ensure safe and efficient storage of hydrogen. Here are some key considerations:
 +
:1. Storage Method: There are different methods for storing hydrogen, including compressed gas, liquid hydrogen, and solid-state storage. Each method has its own advantages and challenges, and the choice depends on factors such as energy density, safety, and cost.
 +
:2. Energy Density: The energy density of the storage system determines the amount of hydrogen that can be stored per unit volume or mass. Higher energy density enables greater storage capacity and longer operating range. Designing storage systems with high energy density is crucial for practical applications.
 +
:3. Safety: Hydrogen is highly flammable and requires careful handling and storage to ensure safety. Designing storage systems with appropriate safety measures, such as leak detection, pressure relief mechanisms, and robust materials, is essential to mitigate the risks associated with hydrogen.
 +
:4. Efficiency: Optimizing hydrogen storage involves maximizing the efficiency of the storage system. This includes minimizing energy losses during storage and retrieval, as well as minimizing any leakage or degradation of stored hydrogen over time. Efficient storage systems help reduce overall energy consumption and increase the viability of hydrogen as an energy carrier.
 +
:5. Materials Selection: The choice of materials used in storage systems is crucial. They need to be compatible with hydrogen, have high strength, and exhibit low permeability to prevent hydrogen leakage. Research and development efforts focus on developing advanced materials, such as carbon fibers, metal hydrides, and porous materials, to enhance storage capabilities.
 +
:6. Temperature and Pressure Management: Hydrogen storage often involves managing temperature and pressure conditions. Depending on the storage method, maintaining the appropriate temperature and pressure ranges can impact the performance, safety, and longevity of the storage system.
 +
:7. System Integration: Designing and optimizing hydrogen storage also involves considering the integration of storage systems with other components, such as hydrogen production, transportation, and utilization. Ensuring compatibility and efficiency among different system components is crucial for overall system performance.
 +
:8. Cost: The cost of hydrogen storage is a significant factor in its widespread adoption. Designing storage systems that are cost-effective and scalable is essential for the commercial viability of hydrogen as an energy carrier. Research and technological advancements aim to reduce the costs associated with materials, manufacturing, and infrastructure required for hydrogen storage.
 +
:9. Environmental Impact: Evaluating the environmental impact of hydrogen storage systems is important. This includes considering the energy requirements for manufacturing and maintaining the storage systems, as well as any potential emissions or waste generated during the process.
 +
:10. Regulatory Compliance: Designing hydrogen storage systems must adhere to relevant safety standards and regulations. Compliance with codes and regulations ensures the safe operation and deployment of hydrogen storage technologies.
 +
:Optimizing hydrogen storage involves a multidisciplinary approach, combining engineering, materials science, safety considerations, and system integration to develop efficient, safe, and economically viable storage solutions. Ongoing research and technological advancements continue to enhance the performance and viability of hydrogen storage systems.
  
'''Apa itu aliran steady state? Berikan contohnya dalam fenomena nyata?'''
+
== Optimasi Penyimpanan ==
:Aliran steady state adalah istilah yang digunakan untuk menggambarkan keadaan keseimbangan dari sebuah sistem yang bergerak atau mengalir, di mana setiap variabel tidak :berubah seiring waktu. Dalam konteks aliran fluida, steady state dapat didefinisikan sebagai kondisi di mana laju aliran massa, kecepatan, dan tekanan fluida pada titik-titik tertentu dalam sistem tetap konstan seiring waktu.
+
Ada beberapa tahapan dalam mendesain dan mengoptimasi sistem penyimpanan, dari yang sudah ada menjadi yang sesuai dengan batasan maksimal yang diinginkan.<br>
:Contoh fenomena nyata dari aliran steady state adalah aliran air melalui pipa yang konstan. Ketika air mengalir melalui pipa dengan kecepatan yang konstan dan jumlah air :yang masuk ke dalam pipa sama dengan jumlah air yang keluar dari pipa, maka aliran air tersebut berada pada kondisi steady state. Kecepatan dan tekanan air di dalam pipa :akan tetap konstan pada setiap titik yang sama dalam sistem. Hal ini berlaku asalkan tidak ada perubahan pada kecepatan atau tekanan air yang memasuki pipa atau pada pipa itu sendiri.
 
  
&nbsp;
+
1. Tentukan ukuran pelat yang akan digunakan berdasarkan volume yang dibutuhkan, yaitu 1 liter, namun menggunakan luas pelat seminimal mungkin menggunakan perhitungan sebagai berikut:<br>
 +
import math
 +
from scipy.optimize import minimize
 +
 +
def objective(x):
 +
    radius, height = x
 +
    return 2 * math.pi * radius**2 + 2 * math.pi * radius * height
 +
 +
def constraint(x):
 +
    radius, height = x
 +
    return math.pi * radius**2 * height - 1000
 +
 +
initial_guess = [1, 10]  # Initial guess for the radius and height
 +
 +
# Define the bounds for the radius and height
 +
bounds = [(0, None), (0, None)]
 +
 +
# Define the volume constraint
 +
volume_constraint = {'type': 'eq', 'fun': constraint}
 +
 +
# Minimize the surface area subject to the volume constraint
 +
result = minimize(objective, initial_guess, method='SLSQP', bounds=bounds,                                                                       
 +
constraints=volume_constraint)
 +
 
 +
optimal_radius = result.x[0]
 +
optimal_height = result.x[1]
 +
min_surface_area = result.fun
 +
 +
print(f"\n\nOptimal Radius: {optimal_radius} cm")
 +
print(f"Optimal Height: {optimal_height} cm")
 +
print(f"Minimum Surface Area: {min_surface_area} cm²\n\n")
  
'''Apa itu Lagrange Method dan Euleriang Method?'''
+
Dari perhitungan tersebut, didapatkan beberapa nilai ukuran berikut ini,<br>
:Lagrange Method adalah metode yang digunakan untuk mempelajari pergerakan partikel individu dalam suatu sistem. Dalam pendekatan ini, posisi dan kecepatan setiap partikel :diukur secara langsung dan dipantau seiring waktu. Dengan cara ini, kita dapat melacak pergerakan dan perilaku partikel individu dari awal hingga akhir periode waktu yang diamati.
+
● Optimal Radius: 5.419261255088046 cm<br>
:Sementara itu, Eulerian Method adalah metode yang digunakan untuk mempelajari pergerakan fluida sebagai suatu keseluruhan dalam suatu sistem. Dalam pendekatan ini, :pergerakan fluida diukur pada titik-titik tetap dalam ruang dan waktu. Dengan cara ini, kita dapat melacak perilaku fluida secara global, termasuk kecepatan, tekanan, dan sifat-sifat lainnya dalam sistem.
+
● Optimal Height: 10.838519182022262 cm<br>
 +
● Minimum Surface Area: 553.5810443894838 cm²<br>
  
&nbsp;
+
2. Selanjutnya, dilakukan perhitungan dengan variabel budget (AISI 316) yang telah ditetapkan, yaitu Rp. 500.000. Untuk perhitungannya, digunakan perhitungan sebagai berikut menggunakan python:
 
+
from scipy.optimize import minimize
'''Apa perbedaan antara aliran uniform dan aliran non-uniform? Berikan contohnya dalam fenomena nyata?'''
+
:Aliran uniform terjadi ketika kecepatan fluida tetap konstan pada setiap titik dalam sistem. Dalam aliran uniform, profil kecepatan fluida tidak berubah seiring waktu atau :jarak dan aliran tersebut tidak memperlihatkan perubahan dalam sifat fisik seperti tekanan, kepadatan, atau viskositas. Contohnya adalah aliran air melalui pipa yang lurus dengan diameter yang tetap dan kecepatan aliran yang konstan.
+
# Harga dan kapasitas yang dibutuhkan
:Di sisi lain, aliran non-uniform terjadi ketika kecepatan fluida bervariasi pada titik-titik tertentu dalam sistem. Dalam aliran non-uniform, profil kecepatan fluida :berubah seiring waktu atau jarak, dan sifat fisik seperti tekanan, kepadatan, atau viskositas mungkin berubah pula. Contohnya adalah aliran sungai yang melewati medan yang bergelombang atau terowongan angin yang melengkung.
+
harga_per_unit = 500000  # Rupiah
 
+
kapasitas_per_unit = 1  # Liter
&nbsp;
+
 
+
# Anggaran maksimal
'''Apa itu aliran laminar dan aliran turbulen? Apa perbedaan keduanya?'''
+
anggaran_maksimal = 500000
:Aliran laminar terjadi ketika partikel fluida bergerak dalam arah yang sama dan bergerak dalam lapisan-lapisan yang teratur. Aliran ini cenderung stabil, halus, dan mudah :diprediksi karena tidak terdapat turbulensi atau perubahan arah yang signifikan pada kecepatan partikel. Kecepatan fluida dalam aliran laminar lebih lambat daripada aliran :turbulen, tetapi memiliki gradien tekanan yang lebih kecil. Aliran laminar sering terjadi pada aliran fluida dengan kecepatan yang rendah atau dalam ruang yang berbentuk lurus dan simetris.
+
:Sementara itu, aliran turbulen terjadi ketika partikel fluida bergerak dalam berbagai arah dan kecepatan dengan tidak teratur. Aliran ini cenderung tidak stabil, bergerak :dengan berputar-putar, dan terkadang mengalami pemisahan atau pembentukan vortex. Kecepatan fluida dalam aliran turbulen lebih cepat daripada aliran laminar, tetapi :memiliki gradien tekanan yang lebih besar. Aliran turbulen sering terjadi pada aliran fluida dengan kecepatan yang tinggi atau dalam ruang yang berbentuk kompleks seperti sudut, sudut tajam, atau perubahan arah yang tajam.
+
# Fungsi Akhir
 
+
def fungsi_akhir(x):
&nbsp;
+
    return -x * kapasitas_per_unit
 +
 +
# Kendala yang terjadi
 +
def kendala(anggaran):
 +
    return anggaran_maksimal - (harga_per_unit * anggaran)
 +
 +
kendala_anggaran = {'type': 'ineq', 'fun': kendala}
 +
 +
# Nilai awal
 +
x0 = 0
 +
 +
# Batasan
 +
batas = [(0, None)]
 +
 +
# Menyelesaikan masalah optimisasi
 +
solusi = minimize(fungsi_akhir, x0, method='SLSQP', bounds=batas, constraints=[kendala_anggaran])
 +
 +
# Menampilkan hasil
 +
print("Status:", solusi.success and "Biaya Optimal" or "Tidak ditemukan solusi")
 +
print("Jumlah unit yang bisa dibeli:", solusi.x[0])
 +
print("Total kapasitas penyimpanan yang didapat:", solusi.x[0] * kapasitas_per_unit, "liter")
 +
print("Total anggaran:", solusi.x[0] * harga_per_unit, "Rupiah")
  
'''Apa itu streamline, streakline, dan pathline?'''
+
Hasil yang didapatkan adalah:<br>
:Streamline: Streamline adalah garis yang membentuk kontur yang selalu sejajar dengan arah aliran fluida pada setiap titiknya. Streamline menggambarkan jalur yang diikuti oleh partikel fluida dalam aliran laminar. Streamline juga dapat digunakan untuk memvisualisasikan pola aliran dan mengukur kecepatan dan tekanan pada titik-titik tertentu dalam aliran fluida. Streamline sangat berguna dalam analisis aliran fluida, karena membantu untuk memahami perilaku fluida di sekitar penghalang atau rintangan.
+
● Status: Biaya Optimal<br>
:Streakline: Streakline adalah garis yang terbentuk dari partikel fluida yang melalui suatu titik dalam waktu yang berbeda. Streakline memberikan gambaran tentang sejarah pergerakan partikel fluida dan dapat digunakan untuk melacak dan memvisualisasikan pola aliran fluida. Streakline digunakan dalam eksperimen mekanika fluida untuk melacak partikel pewarna yang ditambahkan ke dalam aliran fluida.
+
● Jumlah unit yang bisa dibeli: 1<br>
:Pathline: Pathline adalah garis yang diikuti oleh satu partikel fluida dari awal waktu hingga akhir waktu dalam aliran fluida. Pathline menggambarkan pergerakan partikel fluida seiring waktu dan dapat digunakan untuk mengukur kecepatan, percepatan, dan posisi partikel fluida pada setiap waktu dalam aliran fluida. Pathline sangat berguna dalam mempelajari aliran turbulen, karena dapat menunjukkan pola aliran yang tidak teratur.
+
● Total kapasitas penyimpanan yang didapat: 1.0 liter<br>
 +
● Total anggaran: 500000.0 Rupiah<br><br>
  
=Tugas Penjelasan dan Penurunan Transport Reynolds=
+
=Link YouTube Presentasi Assignment 1=
:Simak selengkapnya pada video berikut:
+
<youtube width="200" height="100">v=RC1jOJA5Zxc</youtube>
:[https://youtu.be/Q6Zy6FCqmpk Video Penjelasan dan Penurunan Teorema Reynolds]
 
:Kelompok 6 Mekanika Fluida:
 
:- Muhammad Shidqy Wasis
 
:- Darell Jeremia Sitompul
 
:- Christophorus Agung Widyantoro
 
:- Nazwan Hafiz Firdaus
 

Latest revision as of 09:46, 27 June 2023

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Biodata

Shidqy w Background.png

Name:

Muhammad Shidqy Wasis

Student Number (NPM):

2106727935

Born:

2 September 2004 (18 years)
Bandung, Indonesia

Major:

Mechanical Engineering (class of 2021)

 

Assignment 1: Design and Optimization of Compressed Hydrogen Storage

Compressed Hydrogen Tank Scheme (source: energy.gov)

Compressed Hydrogen Definitions

Compressed hydrogen storage refers to the method of storing hydrogen gas by compressing it to high pressures and storing it in specially designed containers or tanks. The process involves increasing the pressure of hydrogen gas, typically to levels between 350 and 700 bar (5,000 to 10,000 pounds per square inch, or psi), in order to achieve a higher density and maximize the amount of hydrogen that can be stored within a given volume.
Compressed hydrogen storage offers a practical and established solution for storing hydrogen in various applications, including hydrogen fuel cell vehicles, stationary energy storage, and industrial processes. It provides advantages such as high energy density, quick refueling times, and a reliable and well-established technology. However, it also poses challenges related to the storage pressure, safety considerations, and energy losses during compression.

 

Specification of Compressed Hydrogen Tank

Volume: 1 liter
Pressure rate: 8 bar (800 kPa)
Production cost: IDR 500.000
Objectives: Minimize surface area and material thickness that can withstand an 8 bar pressure
Design variables: Geometry and material selection (included thickness and strength aspect)

 

Factors and Processes Involved in Designing Compressed Hydrogen Tank

Designing and optimizing hydrogen storage involves considering various factors and processes to ensure safe and efficient storage of hydrogen. Here are some key considerations:
1. Storage Method: There are different methods for storing hydrogen, including compressed gas, liquid hydrogen, and solid-state storage. Each method has its own advantages and challenges, and the choice depends on factors such as energy density, safety, and cost.
2. Energy Density: The energy density of the storage system determines the amount of hydrogen that can be stored per unit volume or mass. Higher energy density enables greater storage capacity and longer operating range. Designing storage systems with high energy density is crucial for practical applications.
3. Safety: Hydrogen is highly flammable and requires careful handling and storage to ensure safety. Designing storage systems with appropriate safety measures, such as leak detection, pressure relief mechanisms, and robust materials, is essential to mitigate the risks associated with hydrogen.
4. Efficiency: Optimizing hydrogen storage involves maximizing the efficiency of the storage system. This includes minimizing energy losses during storage and retrieval, as well as minimizing any leakage or degradation of stored hydrogen over time. Efficient storage systems help reduce overall energy consumption and increase the viability of hydrogen as an energy carrier.
5. Materials Selection: The choice of materials used in storage systems is crucial. They need to be compatible with hydrogen, have high strength, and exhibit low permeability to prevent hydrogen leakage. Research and development efforts focus on developing advanced materials, such as carbon fibers, metal hydrides, and porous materials, to enhance storage capabilities.
6. Temperature and Pressure Management: Hydrogen storage often involves managing temperature and pressure conditions. Depending on the storage method, maintaining the appropriate temperature and pressure ranges can impact the performance, safety, and longevity of the storage system.
7. System Integration: Designing and optimizing hydrogen storage also involves considering the integration of storage systems with other components, such as hydrogen production, transportation, and utilization. Ensuring compatibility and efficiency among different system components is crucial for overall system performance.
8. Cost: The cost of hydrogen storage is a significant factor in its widespread adoption. Designing storage systems that are cost-effective and scalable is essential for the commercial viability of hydrogen as an energy carrier. Research and technological advancements aim to reduce the costs associated with materials, manufacturing, and infrastructure required for hydrogen storage.
9. Environmental Impact: Evaluating the environmental impact of hydrogen storage systems is important. This includes considering the energy requirements for manufacturing and maintaining the storage systems, as well as any potential emissions or waste generated during the process.
10. Regulatory Compliance: Designing hydrogen storage systems must adhere to relevant safety standards and regulations. Compliance with codes and regulations ensures the safe operation and deployment of hydrogen storage technologies.
Optimizing hydrogen storage involves a multidisciplinary approach, combining engineering, materials science, safety considerations, and system integration to develop efficient, safe, and economically viable storage solutions. Ongoing research and technological advancements continue to enhance the performance and viability of hydrogen storage systems.

Optimasi Penyimpanan

Ada beberapa tahapan dalam mendesain dan mengoptimasi sistem penyimpanan, dari yang sudah ada menjadi yang sesuai dengan batasan maksimal yang diinginkan.

1. Tentukan ukuran pelat yang akan digunakan berdasarkan volume yang dibutuhkan, yaitu 1 liter, namun menggunakan luas pelat seminimal mungkin menggunakan perhitungan sebagai berikut:

import math
from scipy.optimize import minimize

def objective(x):
    radius, height = x
    return 2 * math.pi * radius**2 + 2 * math.pi * radius * height

def constraint(x):
    radius, height = x
    return math.pi * radius**2 * height - 1000

initial_guess = [1, 10]  # Initial guess for the radius and height

# Define the bounds for the radius and height
bounds = [(0, None), (0, None)]

# Define the volume constraint
volume_constraint = {'type': 'eq', 'fun': constraint}

# Minimize the surface area subject to the volume constraint
result = minimize(objective, initial_guess, method='SLSQP', bounds=bounds,                                                                         
constraints=volume_constraint)
  
optimal_radius = result.x[0]
optimal_height = result.x[1]
min_surface_area = result.fun

print(f"\n\nOptimal Radius: {optimal_radius} cm")
print(f"Optimal Height: {optimal_height} cm")
print(f"Minimum Surface Area: {min_surface_area} cm²\n\n")

Dari perhitungan tersebut, didapatkan beberapa nilai ukuran berikut ini,
● Optimal Radius: 5.419261255088046 cm
● Optimal Height: 10.838519182022262 cm
● Minimum Surface Area: 553.5810443894838 cm²

2. Selanjutnya, dilakukan perhitungan dengan variabel budget (AISI 316) yang telah ditetapkan, yaitu Rp. 500.000. Untuk perhitungannya, digunakan perhitungan sebagai berikut menggunakan python:

from scipy.optimize import minimize

# Harga dan kapasitas yang dibutuhkan
harga_per_unit = 500000  # Rupiah
kapasitas_per_unit = 1  # Liter

# Anggaran maksimal
anggaran_maksimal = 500000

# Fungsi Akhir
def fungsi_akhir(x):
    return -x * kapasitas_per_unit

# Kendala yang terjadi
def kendala(anggaran):
    return anggaran_maksimal - (harga_per_unit * anggaran)

kendala_anggaran = {'type': 'ineq', 'fun': kendala}

# Nilai awal
x0 = 0

# Batasan
batas = [(0, None)]

# Menyelesaikan masalah optimisasi
solusi = minimize(fungsi_akhir, x0, method='SLSQP', bounds=batas, constraints=[kendala_anggaran])

# Menampilkan hasil
print("Status:", solusi.success and "Biaya Optimal" or "Tidak ditemukan solusi")
print("Jumlah unit yang bisa dibeli:", solusi.x[0])
print("Total kapasitas penyimpanan yang didapat:", solusi.x[0] * kapasitas_per_unit, "liter")
print("Total anggaran:", solusi.x[0] * harga_per_unit, "Rupiah")

Hasil yang didapatkan adalah:
● Status: Biaya Optimal
● Jumlah unit yang bisa dibeli: 1
● Total kapasitas penyimpanan yang didapat: 1.0 liter
● Total anggaran: 500000.0 Rupiah

Link YouTube Presentasi Assignment 1