Bisection Method for the Heavy Fuel Oil Tank Filling Problem at a Liquefied Natural Gas Carrier
The commingling of the two types of heavy fuel oils (fuel remaining in the tanks and fuel loaded) is determined by the company’s guidance and safety management system. Remained heavy fuel oil must be distributed in the heavy fuel oil tanks before bunkering efficiently, in order to obtain maximum bun...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-04-01
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| Series: | Journal of Marine Science and Engineering |
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| Online Access: | https://www.mdpi.com/2077-1312/11/4/849 |
| _version_ | 1797604821353627648 |
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| author | Vedran Mrzljak Igor Poljak Mate Kosor Jelena Čulin |
| author_facet | Vedran Mrzljak Igor Poljak Mate Kosor Jelena Čulin |
| author_sort | Vedran Mrzljak |
| collection | DOAJ |
| description | The commingling of the two types of heavy fuel oils (fuel remaining in the tanks and fuel loaded) is determined by the company’s guidance and safety management system. Remained heavy fuel oil must be distributed in the heavy fuel oil tanks before bunkering efficiently, in order to obtain maximum bunker loading. This paper proposes the use of the bisection method to calculate the distribution of the remaining fuel in heavy fuel oil tanks on the liquefied natural gas carrier. The use of this method is illustrated by three examples. The first and second examples show that the iterations converge quickly to the solution. It is found that maximum tank filling with fuel commingling is achievable if the bunker intervals satisfy the company policy of 10% as a lower limit of tank filling, and 90% to 100% as an upper limit. The third example illustrates a situation when the proposed mathematical model does not allow maximization of the total tank capacity without risk assessment. The mathematical spectrum of the possible tank filling solution is presented. Despite its limitations, the bisection method is suitable for onboard applications because it is simple and fast, and can be easily programmed. |
| first_indexed | 2024-03-11T04:52:12Z |
| format | Article |
| id | doaj.art-a074a64968144bda87a7f8e617b65b57 |
| institution | Directory Open Access Journal |
| issn | 2077-1312 |
| language | English |
| last_indexed | 2024-03-11T04:52:12Z |
| publishDate | 2023-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Journal of Marine Science and Engineering |
| spelling | doaj.art-a074a64968144bda87a7f8e617b65b572023-11-17T19:56:55ZengMDPI AGJournal of Marine Science and Engineering2077-13122023-04-0111484910.3390/jmse11040849Bisection Method for the Heavy Fuel Oil Tank Filling Problem at a Liquefied Natural Gas CarrierVedran Mrzljak0Igor Poljak1Mate Kosor2Jelena Čulin3Faculty of Engineering, University of Rijeka, Vukovarska 58, 51000 Rijeka, CroatiaDepartment of Maritime Sciences, University of Zadar, Mihovila Pavlinovića 1, 23000 Zadar, CroatiaDepartment of Maritime Sciences, University of Zadar, Mihovila Pavlinovića 1, 23000 Zadar, CroatiaDepartment of Maritime Sciences, University of Zadar, Mihovila Pavlinovića 1, 23000 Zadar, CroatiaThe commingling of the two types of heavy fuel oils (fuel remaining in the tanks and fuel loaded) is determined by the company’s guidance and safety management system. Remained heavy fuel oil must be distributed in the heavy fuel oil tanks before bunkering efficiently, in order to obtain maximum bunker loading. This paper proposes the use of the bisection method to calculate the distribution of the remaining fuel in heavy fuel oil tanks on the liquefied natural gas carrier. The use of this method is illustrated by three examples. The first and second examples show that the iterations converge quickly to the solution. It is found that maximum tank filling with fuel commingling is achievable if the bunker intervals satisfy the company policy of 10% as a lower limit of tank filling, and 90% to 100% as an upper limit. The third example illustrates a situation when the proposed mathematical model does not allow maximization of the total tank capacity without risk assessment. The mathematical spectrum of the possible tank filling solution is presented. Despite its limitations, the bisection method is suitable for onboard applications because it is simple and fast, and can be easily programmed.https://www.mdpi.com/2077-1312/11/4/849fuel oil bunker tankcomminglingpermutationbisection iteration method |
| spellingShingle | Vedran Mrzljak Igor Poljak Mate Kosor Jelena Čulin Bisection Method for the Heavy Fuel Oil Tank Filling Problem at a Liquefied Natural Gas Carrier Journal of Marine Science and Engineering fuel oil bunker tank commingling permutation bisection iteration method |
| title | Bisection Method for the Heavy Fuel Oil Tank Filling Problem at a Liquefied Natural Gas Carrier |
| title_full | Bisection Method for the Heavy Fuel Oil Tank Filling Problem at a Liquefied Natural Gas Carrier |
| title_fullStr | Bisection Method for the Heavy Fuel Oil Tank Filling Problem at a Liquefied Natural Gas Carrier |
| title_full_unstemmed | Bisection Method for the Heavy Fuel Oil Tank Filling Problem at a Liquefied Natural Gas Carrier |
| title_short | Bisection Method for the Heavy Fuel Oil Tank Filling Problem at a Liquefied Natural Gas Carrier |
| title_sort | bisection method for the heavy fuel oil tank filling problem at a liquefied natural gas carrier |
| topic | fuel oil bunker tank commingling permutation bisection iteration method |
| url | https://www.mdpi.com/2077-1312/11/4/849 |
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