Syeilendra Pramuditya

Archive for June, 2009

My first LaTeX equation!

Posted by Syeilendra Pramuditya on June 21, 2009

Baru aja nyobain nulis persamaan pake LaTeX, n ini dia persamaan LaTeX pertamaku!!

Sungguh saat2 yg bersejarah.. hihihi… :mrgreen:

q_0'=\frac{\pi c_p w \Delta T}{2\widetilde{H} \sin\left(\frac{\pi H}{2\widetilde{H}} \right)}

Persamaan apa hayo..??

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Helium density in pellet-clad gap of nuclear fuel rod

Posted by Syeilendra Pramuditya on June 20, 2009

Kemarin2 lg butuh data densitas Helium di dalem fuel rod nuklir, heran, udah kesana-kemari keliaran pake google ko ga ktemu2 yah.. ada yg punya datanya kah..? perlu neh..

Hmm.. apa itu termasuk data “rahasia” yah.. hmm aneh..

Yah daripada kerjaan mampet gara2 ga ada data, kepaksa bikin perkiraan sendiri deh.. sy pake persamaan gas ideal yg paling sederhana aja[1]:

eq1

Harusnya sih persamaan gas ideal lumayan bagus untuk dipake ngitung densitas Helium, kan Helium gas monoatomik, jadi harusnya kelakuannya ya mirip sama gas ideal kan.. biar yakin benchmark dulu lah, sama data Helium pada keadaan STP[2]:

  • T = 273.15 K
  • p = 101325 Pa

Nilai parameter lainnya:

  • M Helium = 4.002602E-3 kg/mol [3]
  • R = 8.314472 J/(K.mol) [1]

Trus itung deh..

eq2

Klo liat di wikipedia[3], densitas Helium (STP) tu 0.1786 g/L, wah ternyata cocok ma perhitungan gas ideal!! siip!!!

Berarti sekarang saya bisa buat perkiraan yg lumayan akurat tentang densitas Helium di dalam fuel rod dong ya! data2 yang dipake:

  • p = 3 MPa (dapet dr sebuah jurnal)
  • T = 650 K (ada itungan nya, kpn2 di post deh..)

Itung..

eq3

Hmm.. berarti densitas Helium di dalam pellet-clad gap tu sekitar 0.00222185 g/cc dong ya..

Bener ga yah..? hmm…

Referensi:

  1. http://en.wikipedia.org/wiki/Ideal_gas_law
  2. http://en.wikipedia.org/wiki/Standard_conditions_for_temperature_and_pressure
  3. http://en.wikipedia.org/wiki/Helium

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Calculation code for nuclear cross section

Posted by Syeilendra Pramuditya on June 13, 2009

Code package:

ncs

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Calculation code for spherical nuclear reactor

Posted by Syeilendra Pramuditya on June 13, 2009

The governing equation being used is the steady state neutron diffusion equation:

eq1

eq2

Numerical schemes being used are:

  • Central finite difference for flux calculation
  • Gauss-Siedel and S.O.R for flux calculation
  • Power method for criticality calculation

Code package:

Flowchart of the code:

powermethod

Some previews:

 

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