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Yıl 2018, Sayı: 12, 6 - 8, 30.04.2018

Zuhal Er , A. Beril Tugrul

Öz

Kaynakça

  • IMO, International Maritime Organization, Marine Environmental Pollution-MARPOL- Convention, London, (1978).
  • Patankar, S. V., Numerical Heat Transfer and Fluid Flow, Hemisphere Publishing Corporation, United States of America, Minnesota, pp: 313, 690, 703, 853, 859, 866, 882-883, 919, (1980).
  • Derniak, E.L., Boreman,G.D., Infrared Detectors and Systems, John Wiley & Sons, Singapore, pp.: 55-78,400,486, (1996).
  • Ketkar S., Satish P., Numerical Thermal Analysis, ASME Press, New York, (1999).
  • JMU, Integrated Maritime Pollution Control Course Handbook, Liverpool John Moores University, School of Engineering, UK, (2000).
  • Er Z., Application of Science and Technology to the Understanding of Processes of Sea Pollution from the Oil Spills, ITU-JICA Seminar Meeting, Istanbul, Turkey, (2002).
  • Er Z., Tugrul, A.B., An Investigation of Pollution Discharge in Sea with The Radiation Tracing Technique for Narrow Waterways (In Turkish), itüdergisi/d mühendislik, Cilt4, Sayı:6 aralık 2005, Sayfa:35-46, In Turkish, (2005).
  • Er, Z., A Study On Latest Guidelines For The Development Of Ballast Water Management Plans, Maritime Transport III, Barcelona, Spain, Con. Proceeding pp: 1043-1055, (2006).
  • Er, Z., Ballast Water Management Applications to Prevent Non-Indigenous Aquatic Organisms and Pathogens Transportation, XXth International Symposium on Environmental Biogeochemistry, Istanbul Technical University, Turkey, September 27 to 30, Turkey,Con. Proceedings; pp:O-76, (2011).
  • Er, Z., Tugrul, B., An Investigation of Surface Pollution in Sea with The Low and High Petroleum Lekage forNarrow waterways, IWES 4th Waste Technologies Symposium and Exhibition, Istanbul, 15-16 October, Turkey,Con. Proceedings CD; pp:1-6, (2012).
  • I Akkurt, K Gunoglu, SS Arda, Detection efficiency of NaI (Tl) detector in 511–1332 keV energy range, Science and Technology of Nuclear Installations, Hindawi Publishing Corporation , Volume 2014, Article ID 186798, 5 pages, http://dx.doi.org/10.1155/2014/186798, (2014).
  • B. Nagy, Thermal Calculation of Ground Contact Structures: New Methods Based on Parametrized Transient Finite Element Thermal Modeling, Acta Physica Polonica A No. 2-B, Vol. 128, page B-164, DOI: 10.12693/APhysPolA.128.B-164, (2015).
  • I.S. Uncü, M. Akdurul, Supervising Water Quality of Water Resources via Telemetric System, Acta Physica Polonica A No. 1, Vol. 130, page 293, DOI: 10.12693/APhysPolA.130.293, (2016).
  • R. Kiliç, Effective Management of Leakage in Drinking Water Network, Acta Physica Polonica A No. 1, Vol. 130, page 479, DOI: 10.12693/APhysPolA.130.479, (2016).

Yıl 2018, Sayı: 12, 6 - 8, 30.04.2018

Zuhal Er , A. Beril Tugrul

Öz

Kaynakça

  • IMO, International Maritime Organization, Marine Environmental Pollution-MARPOL- Convention, London, (1978).
  • Patankar, S. V., Numerical Heat Transfer and Fluid Flow, Hemisphere Publishing Corporation, United States of America, Minnesota, pp: 313, 690, 703, 853, 859, 866, 882-883, 919, (1980).
  • Derniak, E.L., Boreman,G.D., Infrared Detectors and Systems, John Wiley & Sons, Singapore, pp.: 55-78,400,486, (1996).
  • Ketkar S., Satish P., Numerical Thermal Analysis, ASME Press, New York, (1999).
  • JMU, Integrated Maritime Pollution Control Course Handbook, Liverpool John Moores University, School of Engineering, UK, (2000).
  • Er Z., Application of Science and Technology to the Understanding of Processes of Sea Pollution from the Oil Spills, ITU-JICA Seminar Meeting, Istanbul, Turkey, (2002).
  • Er Z., Tugrul, A.B., An Investigation of Pollution Discharge in Sea with The Radiation Tracing Technique for Narrow Waterways (In Turkish), itüdergisi/d mühendislik, Cilt4, Sayı:6 aralık 2005, Sayfa:35-46, In Turkish, (2005).
  • Er, Z., A Study On Latest Guidelines For The Development Of Ballast Water Management Plans, Maritime Transport III, Barcelona, Spain, Con. Proceeding pp: 1043-1055, (2006).
  • Er, Z., Ballast Water Management Applications to Prevent Non-Indigenous Aquatic Organisms and Pathogens Transportation, XXth International Symposium on Environmental Biogeochemistry, Istanbul Technical University, Turkey, September 27 to 30, Turkey,Con. Proceedings; pp:O-76, (2011).
  • Er, Z., Tugrul, B., An Investigation of Surface Pollution in Sea with The Low and High Petroleum Lekage forNarrow waterways, IWES 4th Waste Technologies Symposium and Exhibition, Istanbul, 15-16 October, Turkey,Con. Proceedings CD; pp:1-6, (2012).
  • I Akkurt, K Gunoglu, SS Arda, Detection efficiency of NaI (Tl) detector in 511–1332 keV energy range, Science and Technology of Nuclear Installations, Hindawi Publishing Corporation , Volume 2014, Article ID 186798, 5 pages, http://dx.doi.org/10.1155/2014/186798, (2014).
  • B. Nagy, Thermal Calculation of Ground Contact Structures: New Methods Based on Parametrized Transient Finite Element Thermal Modeling, Acta Physica Polonica A No. 2-B, Vol. 128, page B-164, DOI: 10.12693/APhysPolA.128.B-164, (2015).
  • I.S. Uncü, M. Akdurul, Supervising Water Quality of Water Resources via Telemetric System, Acta Physica Polonica A No. 1, Vol. 130, page 293, DOI: 10.12693/APhysPolA.130.293, (2016).
  • R. Kiliç, Effective Management of Leakage in Drinking Water Network, Acta Physica Polonica A No. 1, Vol. 130, page 479, DOI: 10.12693/APhysPolA.130.479, (2016).

Yıl 2018, Sayı: 12, 6 - 8, 30.04.2018

Zuhal Er , A. Beril Tugrul

Öz

Kaynakça

  • IMO, International Maritime Organization, Marine Environmental Pollution-MARPOL- Convention, London, (1978).
  • Patankar, S. V., Numerical Heat Transfer and Fluid Flow, Hemisphere Publishing Corporation, United States of America, Minnesota, pp: 313, 690, 703, 853, 859, 866, 882-883, 919, (1980).
  • Derniak, E.L., Boreman,G.D., Infrared Detectors and Systems, John Wiley & Sons, Singapore, pp.: 55-78,400,486, (1996).
  • Ketkar S., Satish P., Numerical Thermal Analysis, ASME Press, New York, (1999).
  • JMU, Integrated Maritime Pollution Control Course Handbook, Liverpool John Moores University, School of Engineering, UK, (2000).
  • Er Z., Application of Science and Technology to the Understanding of Processes of Sea Pollution from the Oil Spills, ITU-JICA Seminar Meeting, Istanbul, Turkey, (2002).
  • Er Z., Tugrul, A.B., An Investigation of Pollution Discharge in Sea with The Radiation Tracing Technique for Narrow Waterways (In Turkish), itüdergisi/d mühendislik, Cilt4, Sayı:6 aralık 2005, Sayfa:35-46, In Turkish, (2005).
  • Er, Z., A Study On Latest Guidelines For The Development Of Ballast Water Management Plans, Maritime Transport III, Barcelona, Spain, Con. Proceeding pp: 1043-1055, (2006).
  • Er, Z., Ballast Water Management Applications to Prevent Non-Indigenous Aquatic Organisms and Pathogens Transportation, XXth International Symposium on Environmental Biogeochemistry, Istanbul Technical University, Turkey, September 27 to 30, Turkey,Con. Proceedings; pp:O-76, (2011).
  • Er, Z., Tugrul, B., An Investigation of Surface Pollution in Sea with The Low and High Petroleum Lekage forNarrow waterways, IWES 4th Waste Technologies Symposium and Exhibition, Istanbul, 15-16 October, Turkey,Con. Proceedings CD; pp:1-6, (2012).
  • I Akkurt, K Gunoglu, SS Arda, Detection efficiency of NaI (Tl) detector in 511–1332 keV energy range, Science and Technology of Nuclear Installations, Hindawi Publishing Corporation , Volume 2014, Article ID 186798, 5 pages, http://dx.doi.org/10.1155/2014/186798, (2014).
  • B. Nagy, Thermal Calculation of Ground Contact Structures: New Methods Based on Parametrized Transient Finite Element Thermal Modeling, Acta Physica Polonica A No. 2-B, Vol. 128, page B-164, DOI: 10.12693/APhysPolA.128.B-164, (2015).
  • I.S. Uncü, M. Akdurul, Supervising Water Quality of Water Resources via Telemetric System, Acta Physica Polonica A No. 1, Vol. 130, page 293, DOI: 10.12693/APhysPolA.130.293, (2016).
  • R. Kiliç, Effective Management of Leakage in Drinking Water Network, Acta Physica Polonica A No. 1, Vol. 130, page 479, DOI: 10.12693/APhysPolA.130.479, (2016).

Yıl 2018, Sayı: 12, 6 - 8, 30.04.2018

Zuhal Er , A. Beril Tugrul

Öz

Kaynakça

  • IMO, International Maritime Organization, Marine Environmental Pollution-MARPOL- Convention, London, (1978).
  • Patankar, S. V., Numerical Heat Transfer and Fluid Flow, Hemisphere Publishing Corporation, United States of America, Minnesota, pp: 313, 690, 703, 853, 859, 866, 882-883, 919, (1980).
  • Derniak, E.L., Boreman,G.D., Infrared Detectors and Systems, John Wiley & Sons, Singapore, pp.: 55-78,400,486, (1996).
  • Ketkar S., Satish P., Numerical Thermal Analysis, ASME Press, New York, (1999).
  • JMU, Integrated Maritime Pollution Control Course Handbook, Liverpool John Moores University, School of Engineering, UK, (2000).
  • Er Z., Application of Science and Technology to the Understanding of Processes of Sea Pollution from the Oil Spills, ITU-JICA Seminar Meeting, Istanbul, Turkey, (2002).
  • Er Z., Tugrul, A.B., An Investigation of Pollution Discharge in Sea with The Radiation Tracing Technique for Narrow Waterways (In Turkish), itüdergisi/d mühendislik, Cilt4, Sayı:6 aralık 2005, Sayfa:35-46, In Turkish, (2005).
  • Er, Z., A Study On Latest Guidelines For The Development Of Ballast Water Management Plans, Maritime Transport III, Barcelona, Spain, Con. Proceeding pp: 1043-1055, (2006).
  • Er, Z., Ballast Water Management Applications to Prevent Non-Indigenous Aquatic Organisms and Pathogens Transportation, XXth International Symposium on Environmental Biogeochemistry, Istanbul Technical University, Turkey, September 27 to 30, Turkey,Con. Proceedings; pp:O-76, (2011).
  • Er, Z., Tugrul, B., An Investigation of Surface Pollution in Sea with The Low and High Petroleum Lekage forNarrow waterways, IWES 4th Waste Technologies Symposium and Exhibition, Istanbul, 15-16 October, Turkey,Con. Proceedings CD; pp:1-6, (2012).
  • I Akkurt, K Gunoglu, SS Arda, Detection efficiency of NaI (Tl) detector in 511–1332 keV energy range, Science and Technology of Nuclear Installations, Hindawi Publishing Corporation , Volume 2014, Article ID 186798, 5 pages, http://dx.doi.org/10.1155/2014/186798, (2014).
  • B. Nagy, Thermal Calculation of Ground Contact Structures: New Methods Based on Parametrized Transient Finite Element Thermal Modeling, Acta Physica Polonica A No. 2-B, Vol. 128, page B-164, DOI: 10.12693/APhysPolA.128.B-164, (2015).
  • I.S. Uncü, M. Akdurul, Supervising Water Quality of Water Resources via Telemetric System, Acta Physica Polonica A No. 1, Vol. 130, page 293, DOI: 10.12693/APhysPolA.130.293, (2016).
  • R. Kiliç, Effective Management of Leakage in Drinking Water Network, Acta Physica Polonica A No. 1, Vol. 130, page 479, DOI: 10.12693/APhysPolA.130.479, (2016).

Yıl 2018, Sayı: 12, 6 - 8, 30.04.2018

Zuhal Er , A. Beril Tugrul

Öz

Kaynakça

  • IMO, International Maritime Organization, Marine Environmental Pollution-MARPOL- Convention, London, (1978).
  • Patankar, S. V., Numerical Heat Transfer and Fluid Flow, Hemisphere Publishing Corporation, United States of America, Minnesota, pp: 313, 690, 703, 853, 859, 866, 882-883, 919, (1980).
  • Derniak, E.L., Boreman,G.D., Infrared Detectors and Systems, John Wiley & Sons, Singapore, pp.: 55-78,400,486, (1996).
  • Ketkar S., Satish P., Numerical Thermal Analysis, ASME Press, New York, (1999).
  • JMU, Integrated Maritime Pollution Control Course Handbook, Liverpool John Moores University, School of Engineering, UK, (2000).
  • Er Z., Application of Science and Technology to the Understanding of Processes of Sea Pollution from the Oil Spills, ITU-JICA Seminar Meeting, Istanbul, Turkey, (2002).
  • Er Z., Tugrul, A.B., An Investigation of Pollution Discharge in Sea with The Radiation Tracing Technique for Narrow Waterways (In Turkish), itüdergisi/d mühendislik, Cilt4, Sayı:6 aralık 2005, Sayfa:35-46, In Turkish, (2005).
  • Er, Z., A Study On Latest Guidelines For The Development Of Ballast Water Management Plans, Maritime Transport III, Barcelona, Spain, Con. Proceeding pp: 1043-1055, (2006).
  • Er, Z., Ballast Water Management Applications to Prevent Non-Indigenous Aquatic Organisms and Pathogens Transportation, XXth International Symposium on Environmental Biogeochemistry, Istanbul Technical University, Turkey, September 27 to 30, Turkey,Con. Proceedings; pp:O-76, (2011).
  • Er, Z., Tugrul, B., An Investigation of Surface Pollution in Sea with The Low and High Petroleum Lekage forNarrow waterways, IWES 4th Waste Technologies Symposium and Exhibition, Istanbul, 15-16 October, Turkey,Con. Proceedings CD; pp:1-6, (2012).
  • I Akkurt, K Gunoglu, SS Arda, Detection efficiency of NaI (Tl) detector in 511–1332 keV energy range, Science and Technology of Nuclear Installations, Hindawi Publishing Corporation , Volume 2014, Article ID 186798, 5 pages, http://dx.doi.org/10.1155/2014/186798, (2014).
  • B. Nagy, Thermal Calculation of Ground Contact Structures: New Methods Based on Parametrized Transient Finite Element Thermal Modeling, Acta Physica Polonica A No. 2-B, Vol. 128, page B-164, DOI: 10.12693/APhysPolA.128.B-164, (2015).
  • I.S. Uncü, M. Akdurul, Supervising Water Quality of Water Resources via Telemetric System, Acta Physica Polonica A No. 1, Vol. 130, page 293, DOI: 10.12693/APhysPolA.130.293, (2016).
  • R. Kiliç, Effective Management of Leakage in Drinking Water Network, Acta Physica Polonica A No. 1, Vol. 130, page 479, DOI: 10.12693/APhysPolA.130.479, (2016).

A Study of Ship Discharge State Analysis in the Narrow Water Way: The Contribution of Mathematical Modeling

Yıl 2018, Sayı: 12, 6 - 8, 30.04.2018

Zuhal Er , A. Beril Tugrul

Öz

Dizel petrol kirliliğinin dar su yollarında boşaltılması öncelikle deneysel olarak analiz edilmiş ve bu çalışmada denizdeki petrol kirliliği davranışları matematiksel olarak değerlendirilmiştir. Çeşitli senaryolar ile geminin petrol kirliliğinin gerçek yaşam uygulamasını içeren radyasyon izleme tekniği kullanılarak gerçekleştirilmiştir. Deneysel araştırma, dar su yolları için çeşitli dizel yakıt miktarlarının belirlenmesi esasına göre tasarlandı.Bu çalışma, kıyı-temelli tesislerden çeşitli deşarjların hesaba katıldığı deniz kaza senaryolarını da kapsamaktadır. Bu çalışmada, çeşitli deşarj miktarları için deneyler yapılmıştır ve atık suların alternatif seyreltme seviyeleri grafik değerlendirmelerle ileri düzeyde tahmin edilmiştir. Sonuç olarak bu çalışma, farklı olay türlerini dikkate alarak, radyasyon izleme tekniğinin yardımıyla dökülmenin belirlenmesi için önerilen bir matematiksel model sunmaktadır.

Anahtar Kelimeler

İnfrared Ölçümleme Dar Su Yolları Denız Kazası Petrol Deşarjı Gemı Kökenlı Kirlilik Gemi Yakıt Sızıntısı

Kaynakça

  • IMO, International Maritime Organization, Marine Environmental Pollution-MARPOL- Convention, London, (1978).
  • Patankar, S. V., Numerical Heat Transfer and Fluid Flow, Hemisphere Publishing Corporation, United States of America, Minnesota, pp: 313, 690, 703, 853, 859, 866, 882-883, 919, (1980).
  • Derniak, E.L., Boreman,G.D., Infrared Detectors and Systems, John Wiley & Sons, Singapore, pp.: 55-78,400,486, (1996).
  • Ketkar S., Satish P., Numerical Thermal Analysis, ASME Press, New York, (1999).
  • JMU, Integrated Maritime Pollution Control Course Handbook, Liverpool John Moores University, School of Engineering, UK, (2000).
  • Er Z., Application of Science and Technology to the Understanding of Processes of Sea Pollution from the Oil Spills, ITU-JICA Seminar Meeting, Istanbul, Turkey, (2002).
  • Er Z., Tugrul, A.B., An Investigation of Pollution Discharge in Sea with The Radiation Tracing Technique for Narrow Waterways (In Turkish), itüdergisi/d mühendislik, Cilt4, Sayı:6 aralık 2005, Sayfa:35-46, In Turkish, (2005).
  • Er, Z., A Study On Latest Guidelines For The Development Of Ballast Water Management Plans, Maritime Transport III, Barcelona, Spain, Con. Proceeding pp: 1043-1055, (2006).
  • Er, Z., Ballast Water Management Applications to Prevent Non-Indigenous Aquatic Organisms and Pathogens Transportation, XXth International Symposium on Environmental Biogeochemistry, Istanbul Technical University, Turkey, September 27 to 30, Turkey,Con. Proceedings; pp:O-76, (2011).
  • Er, Z., Tugrul, B., An Investigation of Surface Pollution in Sea with The Low and High Petroleum Lekage forNarrow waterways, IWES 4th Waste Technologies Symposium and Exhibition, Istanbul, 15-16 October, Turkey,Con. Proceedings CD; pp:1-6, (2012).
  • I Akkurt, K Gunoglu, SS Arda, Detection efficiency of NaI (Tl) detector in 511–1332 keV energy range, Science and Technology of Nuclear Installations, Hindawi Publishing Corporation , Volume 2014, Article ID 186798, 5 pages, http://dx.doi.org/10.1155/2014/186798, (2014).
  • B. Nagy, Thermal Calculation of Ground Contact Structures: New Methods Based on Parametrized Transient Finite Element Thermal Modeling, Acta Physica Polonica A No. 2-B, Vol. 128, page B-164, DOI: 10.12693/APhysPolA.128.B-164, (2015).
  • I.S. Uncü, M. Akdurul, Supervising Water Quality of Water Resources via Telemetric System, Acta Physica Polonica A No. 1, Vol. 130, page 293, DOI: 10.12693/APhysPolA.130.293, (2016).
  • R. Kiliç, Effective Management of Leakage in Drinking Water Network, Acta Physica Polonica A No. 1, Vol. 130, page 479, DOI: 10.12693/APhysPolA.130.479, (2016).

A Study of Ship Discharge State Analysis in the Narrow Water Way: The Contribution of Mathematical Modeling

Yıl 2018, Sayı: 12, 6 - 8, 30.04.2018

Zuhal Er , A. Beril Tugrul

Öz

Discharging of diesel oil pollution incident in the narrow water ways were analyzed firstly experimental and evaluated by mathematically, in this study. It was performed by utilizing the radiation tracing technique which comprises the real life application of a ship's oil pollution for various scenarios. The modeling phenomena developed by using Fick's 2nd law can provide the opportunity to propose expected solutions including the finite systems and half finite systems. The experimental research was designed based on the determination of various discharge quantities of diesel oil for narrow water ways. This study aims beyond the scope of marine accident scenarios since it takes into account various discharges from shore-based facilities as well. Then experiments were held for ten various discharge quantities in this study where the alternative dilution levels of the effluents have been estimated in advanced with graphical assessments. Consequently this study provides a proposed mathematical model for the determination of spillage by the aid of radiation tracing technique while taking into account different incident types.

Kaynakça

  • IMO, International Maritime Organization, Marine Environmental Pollution-MARPOL- Convention, London, (1978).
  • Patankar, S. V., Numerical Heat Transfer and Fluid Flow, Hemisphere Publishing Corporation, United States of America, Minnesota, pp: 313, 690, 703, 853, 859, 866, 882-883, 919, (1980).
  • Derniak, E.L., Boreman,G.D., Infrared Detectors and Systems, John Wiley & Sons, Singapore, pp.: 55-78,400,486, (1996).
  • Ketkar S., Satish P., Numerical Thermal Analysis, ASME Press, New York, (1999).
  • JMU, Integrated Maritime Pollution Control Course Handbook, Liverpool John Moores University, School of Engineering, UK, (2000).
  • Er Z., Application of Science and Technology to the Understanding of Processes of Sea Pollution from the Oil Spills, ITU-JICA Seminar Meeting, Istanbul, Turkey, (2002).
  • Er Z., Tugrul, A.B., An Investigation of Pollution Discharge in Sea with The Radiation Tracing Technique for Narrow Waterways (In Turkish), itüdergisi/d mühendislik, Cilt4, Sayı:6 aralık 2005, Sayfa:35-46, In Turkish, (2005).
  • Er, Z., A Study On Latest Guidelines For The Development Of Ballast Water Management Plans, Maritime Transport III, Barcelona, Spain, Con. Proceeding pp: 1043-1055, (2006).
  • Er, Z., Ballast Water Management Applications to Prevent Non-Indigenous Aquatic Organisms and Pathogens Transportation, XXth International Symposium on Environmental Biogeochemistry, Istanbul Technical University, Turkey, September 27 to 30, Turkey,Con. Proceedings; pp:O-76, (2011).
  • Er, Z., Tugrul, B., An Investigation of Surface Pollution in Sea with The Low and High Petroleum Lekage forNarrow waterways, IWES 4th Waste Technologies Symposium and Exhibition, Istanbul, 15-16 October, Turkey,Con. Proceedings CD; pp:1-6, (2012).
  • I Akkurt, K Gunoglu, SS Arda, Detection efficiency of NaI (Tl) detector in 511–1332 keV energy range, Science and Technology of Nuclear Installations, Hindawi Publishing Corporation , Volume 2014, Article ID 186798, 5 pages, http://dx.doi.org/10.1155/2014/186798, (2014).
  • B. Nagy, Thermal Calculation of Ground Contact Structures: New Methods Based on Parametrized Transient Finite Element Thermal Modeling, Acta Physica Polonica A No. 2-B, Vol. 128, page B-164, DOI: 10.12693/APhysPolA.128.B-164, (2015).
  • I.S. Uncü, M. Akdurul, Supervising Water Quality of Water Resources via Telemetric System, Acta Physica Polonica A No. 1, Vol. 130, page 293, DOI: 10.12693/APhysPolA.130.293, (2016).
  • R. Kiliç, Effective Management of Leakage in Drinking Water Network, Acta Physica Polonica A No. 1, Vol. 130, page 479, DOI: 10.12693/APhysPolA.130.479, (2016).
Toplam 14 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Makaleler
Yazarlar

Zuhal Er

A. Beril Tugrul

Yayımlanma Tarihi 30 Nisan 2018
Yayımlandığı Sayı Yıl 2018 Sayı: 12

Kaynak Göster

APA Er, Z., & Tugrul, A. B. (2018). A Study of Ship Discharge State Analysis in the Narrow Water Way: The Contribution of Mathematical Modeling. Avrupa Bilim Ve Teknoloji Dergisi(12), 6-8.
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