On the delicate state of instability of a vertical riser transporting fluid |
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| Affiliation: | 1. Department of Leisure and Recreation Management/Ph.D. Program in Engineering Science, Chung Hua University, Hsin-Chu 30012, Taiwan;2. Department of Applied Mathematics, National Sun Yat-sen University, Kaohsiung 80424, Taiwan;3. Department of Computer Science and Engineering, National Sun Yat-sen University, Kaohsiung 80424, Taiwan;4. Department of Applied Mathematics, I-Shou University, Kaohsiung 84001, Taiwan;5. Department of Healthcare Administration and Medical Informatics, Kaohsiung Medical University 80708, Taiwan;1. Department of Applied Mathematics, National Sun Yat-sen University, Kaohsiung 80424, Taiwan;2. Department of Computer Science and Engineering, National Sun Yat-sen University, Kaohsiung 80424, Taiwan;3. Department of Healthcare Administration and Medical Informatics, Kaohsiung Medical University, 80708, Taiwan;4. Department of Financial and Computational Mathematics, I-Shou University, Kaohsiung 84001, Taiwan;5. Department of Leisure and Recreation Management/Ph.D. Program in Engineering Science, Chung Hua University, Hsin-Chu 30012, Taiwan |
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| Abstract: | The variation in the dynamic characteristics of a flexible riser as the riser transitions from a vertical riser to a catenary-type riser is investigated. It is well known that the straight configuration of a flexible vertical riser conveying fluid destablizes in a divergence-type instability once the velocity of the transporting fluid exceeds a critical speed. As expected, the instability persists if a slight horizontal offset is introduced at the hang-off point. However, as demonstrated in this paper, if a finite horizontal offset is introduced then the instability vanishes and the resulting static configuration of the catenary-type riser is stable regardless of the transport speed of the fluid. |
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| Keywords: | Flexible riser Top end horizontal offset Kirchhoff’s rod theory Stability Top tension Internal fluid transport |
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