Judul: The Effect of Pressure Variations on the Application of Nanofiltration Membranes in Aquaculture Recirculating Systems
Abstrak: Penggunaan membran nanofiltrasi dengan pengoperasian jangka panjang sebagai unit pengolahan menimbulkan fouling yang tak terhindarkan akibat adanya proses polarisasi konsentrasi pada permukaan membran. Konsentrasi terpolarisasi dan kenaikan tekanan osmotik juga penyebab penurunan fluks permeate. Penelitian bertujuan menganalisis pengaruh tekanan yang diterapkan pada sistem resirkulasi akuakultur dengan teknologi membran nanofiltrasi terhadap konsentrasi kontaminan permeate. Penelitian ini dilakukan pada bulan Maret – Juli 2023 yang berlokasi di Laboratorium Terpadu Departemen Teknik Sipil dan Lingkungan, Fakultas Teknologi Pertanian, Institut Pertanian Bogor. Penelitian ini menggunakan tiga variasi tekanan yang berbeda yakni tekanan 5, 6, dan 7 bar. Variasi 7 bar memiliki nilai efisiensi penolakan kontaminan amonia dan nitrit sebesar 100%. Pemodelan dilakukan untuk estimasi konsentrasi kontaminan nitrit di permeate membran nanofiltrasi. Hasil uji validasi dengan regresi linear menunjukkan pengembangan pemodelan sangat baik dalam mengestimasi konsentrasi kontaminan permeate membran nanofiltrasi karena memiliki indikator nilai R square mendekati satu., The use of nanofiltration membranes with long-term operation as a treatment unit causes unavoidable fouling due to the concentration polarization process on the surface of the membrane. Polarized concentrations and increased osmotic pressure also cause a decrease in permeate flux. The aim of this study was to analyze the effect of pressure applied to the aquaculture recirculating system with nanofiltration membrane technology on the concentration of permeate contaminants. This research was conducted in March – July 2023 located at the Integrated Laboratory of the Department of Civil and Environmental Engineering, Faculty of Agricultural Technology, Bogor Agricultural University. This study used three different pressure variations, namely 5, 6, and 7 bar. The 7 bar variation has an efficiency value of 100% for rejecting ammonia and nitrite contaminants. Modeling was performed to estimate the concentration of nitrite contaminants in the permeate nanofiltration membrane. The results of the validation test with linear regression showed that the development of modeling was very good in estimating nanofiltration membrane permeate contaminant concentrations because it had an indicator value of R square close to one.
Keyword: estimasi konsetrasi, fluks, membran nanofiltrasi, tekanan

Judul: Penggunaan Teknologi Membran Nanofiltrasi di Dalam Sistem Resirkulasi Akuakultur untuk Optimalisasi Kualitas Efluen
Abstrak: Air limbah budidaya perikanan mengandung bahan organik yang tinggi. Membran nanofiltrasi dapat diterapkan di dalam RAS karena memiliki kemampuan tinggi untuk menghilangkan partikel organik dan anorganik kecil. Penelitian ini bertujuan menganalisis kualitas air limbah budidaya ikan koi setelah diolah menggunakan membran nanofiltrasi (NF). Terdapat enam perlakuan yang dibedakan berdasarkan persen recovery dan aliran retentat, yaitu variasi 1 30% retentat dikembalikan, variasi 2 70% retentat dikembalikan, variasi 3 50% retentat dikembalikan, variasi 4 30% retentat dibuang, variasi 5 70% retentat dibuang, dan variasi 6 50% retentat dibuang. Hasil penelitian menunjukkan NF secara keseluruhan optimal dalam mereduksi kontaminan nitrit dan TSS. Variasi paling efektif dalam mereduksi parameter-parameter pencemar terdapat pada variasi 5.
Keyword: fluks, membran nanofiltrasi, RAS

Judul: Pelabelan Super Vertex Magic
Abstrak: Super vertex magic labeling is labeling on graph with is a set of edges mapped into and is a set of vertices mapped into . It has a vertex magic labeling in which and represents the size and order of the graph respectively. This manuscript proves that paths, cyclics, and disjoint union of cyclics have a super vertex magic labeling. There are four theorems to be discussed. The first theorem proves that path is super vertex magic if and only if is odd and . The second theorem proves that cyclic is super vertex magic if and only if is odd. The third theorem proves that bijection function from an edge set onto of graph can be extended to a super vertex magic labeling if and only if the set amount of edge label that incidents with a vertex in the graph, consists of sequential integers as many as vertices in the graph. The fourth theorem proves that disjoint union of the cyclics consists of cyclics with each cyclic has vertices is super vertex magic if and only if and are odd.
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