View source for Final Report of Hydrogen Storage Optimization Project, Darell Jeremia Sitompul, 6 Juni 2023

Requirement:

- Capacity = 1 Liter
- Budget = Rp.500.000,00 (Lima ratus ribu rupiah)


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We need to optimize the storage surface area to a minimum and keep the volume at 1 liter. The storage space volume is fixed at 1 liter, but there are many combinations of radius and flat tube height. We can use programming to help us save alot of calculation time.

Below is the code:  

Finding Smallest Surface Area of the capsule with radius from 0 to 20 centimeters

    import numpy as np
    
    
    print(":    Radius    :    Surface Area    :")
      
    r_max = 20
    a = np.zeros((r_max, 2))
    
    for r in range (1, r_max + 1):
        flat_tube_height = (1000-((4*np.pi*r**3)/3))/(np.pi*(r)**2)
        sur_area = ((2*np.pi*r) * flat_tube_height) + ((2*np.pi*r**2)*2)
        a[r-1][0] = int(r)
        a[r-1][1] = np.round(sur_area, 5)
        print(":    ", a[r-1][0], " "*(6 - len(str(a[r-1][0]))),
          " :    ", a[r-1][1], " "*(12 - len(str(a[r-1][1]))), " :")
    b = a
    
    for i in range(len(b)):
        for j in range (len(b)):
            if b[i][1] < b[j][1]:
                    for n in range (2):
                            temp = b[i][n]
                            b[i][n] = b[j][n]
                            b[j][n] = temp
                            
    print("Minimum surface area will be found when")
    print("Radius = ", b[0][0])
    print("Surface Area : ", b[0][1])



When we run the program, the result will be shown like this


    :    Radius    :    Surface Area    :
    :     1.0      :     2004.18879     :
    :     2.0      :     1016.75516     :
    :     3.0      :     704.36578      :
    :     4.0      :     567.02064      :
    :     5.0      :     504.71976      :
    :     6.0      :     484.12978      :
    :     7.0      :     490.96501      :
    :     8.0      :     518.08257      :
    :     9.0      :     561.51423      :
    :     10.0     :     618.87902      :
    :     11.0     :     688.6618       :
    :     12.0     :     769.85246      :
    :     13.0     :     861.7517       :
    :     14.0     :     963.86002      :
    :     15.0     :     1075.81113     :
    :     16.0     :     1197.33029     :
    :     17.0     :     1328.20743     :
    :     18.0     :     1468.27914     :
    :     19.0     :     1617.41642     :
    :     20.0     :     1775.51608     :
    Minimum surface area will be found when
    Radius =  6.0
    Surface Area :  484.12978