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Journal of Mathematical and Fundamental Sciences
Published by Institut Teknologi Bandung
ISSN : 23375760     EISSN : 23385510     DOI : https://doi.org/10.5614/j.math.fund.sci.
Core Subject : Science, Education,
Astronomy Chemistry Earth & Planetary Sciences Mathematics Physics
Journal of Mathematical and Fundamental Sciences welcomes full research articles in the area of Mathematics and Natural Sciences from the following subject areas: Astronomy, Chemistry, Earth Sciences (Geodesy, Geology, Geophysics, Oceanography, Meteorology), Life Sciences (Agriculture, Biochemistry, Biology, Health, Medical, Pharmacy), Mathematics, Physics, and Statistics.
Arjuna Subject : Matematika - Matematika (Lain-Lain)
Articles 6 Documents
 1 
Search results for , issue "Vol. 36 No. 2 (2004)" : 6 Documents clear
Expanding Super Edge-Magic Graphs∗ E. T. Baskoro; Y. M. Cholily
Journal of Mathematical and Fundamental Sciences Vol. 36 No. 2 (2004)
Publisher : Institute for Research and Community Services (LPPM) ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/itbj.sci.2004.36.2.2

Abstract

For a graph G, with the vertex set V(G) and the edge set E(G) an edge-magic total labeling is a bijection f from V(G)UE(G) to the set of integers {1,2,...., |V(G)|+|E(G)} with the property that f(u) + f(v) +f(uv) = k for each uv elemen E(G) and for a fixed integer k. An edge-magic total labeling f is called super edge-magic total labeling if f(E(G)) = {|V(G)+1, |V(G)+2,....., |V(G)+E(G)|}. In this paper we construct the expanded super edge-magic total graphs from cycles C, generalized Petersen graphs and generalized prisms.
Kajian Unit Pengolahan Menggunakan Media Berbutir dengan Parameter Kekeruhan, TSS, Senyawa Organik dan pH Suprihanto Notodarmojo; Andriani Astuti; Anne Juliah
Journal of Mathematical and Fundamental Sciences Vol. 36 No. 2 (2004)
Publisher : Institute for Research and Community Services (LPPM) ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/itbj.sci.2004.36.2.1

Abstract

A field trial of flocculation using gravel bed has been done using PDAM's Kota Bandung as the location. The reactor used a PVC pipe that consisted of an average diameter of 2,025 cm gravel. PDAM's raw water was used as throughout the experiment. As coagulant, PAC (Poly Alumunium Chloride) is used. The results show that the reactor can reduce the organic content down to 3,02 mg/L with the removal efficiency up to 73,17%. And it also can reduce the turbidity down to 0,5 NTU with removal efficiency up to 96%. The G.td value was 6946, which down below the average G.td used in hydraulic flocculation. Overall, the flocculation has a prospect to be used in operational scale.
Effect of pretreatment to the formation of cake layer and membrane structure in the application of ultra filtration cross-flow Membrane for the treatment of oil-water emulsion waste Suprihanto Notodarmojo; T. Zulkarnain; Dini Mayasanthy; M. Irsyad
Journal of Mathematical and Fundamental Sciences Vol. 36 No. 2 (2004)
Publisher : Institute for Research and Community Services (LPPM) ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/itbj.sci.2004.36.2.3

Abstract

A study on the effect of pretreatment on the use of cellulose acetate (CA) membrane using cross-flow system to treat oil-water emulsion waste came from metal cutting process of an automotive industry has been done. The objectives of this research are to see the impact of pretreatment process to flux and cake forming, indicated by cake forming constant (k'), and to study membrane structure. The ultra filtration process performance was determined by obtaining the values of permeate flux and rejection. The material of membrane used in this process was cellulose acetate membrane with 12 % of cellulose acetate composition for first stage operation and 15 % for second stage operation. The duration of the process was 90 minutes operation time, by applying operation pressure at 3, 5 Bar. There were two types of feeding mode applied, the first was feeding without pretreatment and the second was feeding with pretreatment. After some operation periods, the permeate flux decreases due to fouling. On the first stage of membrane operation, for waste without pretreatment, we obtained the value of k'= 0,0004 m2/L and for waste with pretreatment k'= 0,0001 m2/L. On the second stage membrane operation, for waste without pretreatment the value of k'= 0,0009 m2/L and for waste with pretreatment k'= 0,0002 m2/L. The results mean that pretreatment reduce significantly formation of the cake. It was also obtained that the structure of the membrane is asymmetric. It was shown that deposition of contaminant also occurs within the spinger of the membrane (inner structure of the membrane). Deformation of the membrane spinger was also observed. It is concluded that pretreatment applied to feeding solution increase the running time of the membrane. The benefit of membrane operation used feed with pretreatment, beside increases permeate fluks also decreases the cake forming constant which will longer operation time of membrane.
Solusi Model Aliran Gas Dalam Pipa pada Kondisi Line Packing Menggunakan Skema Richtmyer Harry Budiharjo Sulistyarso; Suryasatriya Trihandaru; Leksono Mucharam; Septoratno Siregar; Ivanky Saputra; Sinatra Canggih
Journal of Mathematical and Fundamental Sciences Vol. 36 No. 2 (2004)
Publisher : Institute for Research and Community Services (LPPM) ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/itbj.sci.2004.36.2.5

Abstract

Line packing is a process storing gas in pipeline by increasing inlet gas flow rate while outlet gas flow rate is kept constant. This difference of gas flow rate causes the gas flow in pipeline being transient. Line packing process is intended to guarantee gas supply when trouble occurs. In this paper, a transient model with boundary condition is solved numerically using Richtmyer scheme, because stability analysis showed that Richtmyer scheme is better than other explicit schemes. In the case presented, it is shown that Richtmyer scheme sufficiently agrees with the real data in gas pipeline transmission, which is in many cases unsteady-state.
Penentuan Tinggi Orthometrik Gunung Semeru Berdasarkan Data Survei GPS dan Model Geoid EGM 1996 Hasanuddin Z. Abidin; Heri Andreas; Dinar Maulana; M. Hendrasto; M. Gamal; Oni K. Suganda
Journal of Mathematical and Fundamental Sciences Vol. 36 No. 2 (2004)
Publisher : Institute for Research and Community Services (LPPM) ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/itbj.sci.2004.36.2.4

Abstract

Semeru is the highest mountain in Java island with an altitude of about +3676 m above the sea level. This altitude was measured during the Dutch colonial times using the Triangulation method, which is based on angles measurements using a theodolite on the measurement points. At the present times, with the advancement in positioning technology and better knowledge on the Earth's gravity field, an orthometric altitude of a mountain can also be determined by utilizing GPS satellites observation data and a global geopotential model. In this paper, the methodology, mechanism and results of the altitude determination of Semeru mountain using the August 2003 and August 2004 GPS survey data and EGM 1996 geoid model will be described and discussed.The obtained results show that the altitude of Semeru at the present times is about +3677 m above the mean sea level.The paper will be sum up with some closing remarks.
Studi Pengembangan Model Turbulen κ-ε untuk Sirkulasi Arus I: Aliran Dua Dimensi pada Sebuah Tampungan Air M. Syahril Badri Kusuma; M. Cahyono; Eka Oktarianto
Journal of Mathematical and Fundamental Sciences Vol. 36 No. 2 (2004)
Publisher : Institute for Research and Community Services (LPPM) ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/itbj.sci.2004.36.2.6

Abstract

This paper present the results of the κ-ε model development for simulating two dimensions flow in a small reservoir. The study was aimed to see wether the turbulent component could be better accounted by using the κ- ε model. The numerical model was developed using finite difference method where hydrodynamic equation was solved by the combination of Mc Cormack and splitting methods. The mirror method is used as the boundary condition of the model.Comparison study were done by using the field measurement result on fishery ponds and model results by other methods. Better agreement is found between field measuremenst and model results due to the increasing accuracy in turbulent model prediction.

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