ANALYTICAL APPROACH TO ESTIMATE SUPERCAVITY LENGTH BASED ON CAVITY AND REYNOLDS NUMBERS

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MAREFAT MAHDI; TAHMASEBI SOHRAB; ANSARI MOHAMMAD REZA

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Journal: Modares Mechanical Engineering Year:2016 | Volume:16 | Issue:5 Page(s): 153-159

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Title

ANALYTICAL APPROACH TO ESTIMATE SUPERCAVITY LENGTH BASED ON CAVITY AND REYNOLDS NUMBERS

Author(s)

MAREFAT MAHDI | TAHMASEBI SOHRAB | ANSARI MOHAMMAD REZA | Issue Writer Certificate

Keywords

CAVITY LENGTHQ2

CAVITY NUMBERQ1

ORDER OF MAGNITUDE METHODQ1

Abstract

CAVITY LENGTH estimation is important as supercavity condition is generated. The natural CAVITY LENGTH is function of CAVITY NUMBER and is calculated by relations deduced from experimental results which are different from each other and are not driven from analytical approaches. Literature survey shows that correlations based on CAVITY LENGTH in relation with Reynolds and CAVITY NUMBERs have not been attempted. The purpose of the present work is to estimate analytical based relations for CAVITY LENGTH with respect to mass transfer, continuity and momentum conservation equations. This attempt, which was conducted by ORDER OF MAGNITUDE METHOD resulted in three relations. The first analytical based relation calculates CAVITY LENGTH versus CAVITY NUMBER. The obtained relation shows that CAVITY LENGTH is proportional to the inverse square root of CAVITY NUMBER. The second analytical relation calculates CAVITY LENGTH with respect to Reynolds number. It shows CAVITY LENGTH has a proportional relation to Reynolds square root. The third analytical relation considers CAVITY NUMBER with respect to Reynolds number. The third relation shows that CAVITY NUMBER has inverse relation to Reynolds number. Unknown coefficients values of the relations are obtained through comparison with the already existed experimental results. These analytical relations which are an appropriate alternative to experimental based relations estimate CAVITY LENGTH with respect to cavity and Reynolds number.

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APA: Copy

MAREFAT, MAHDI, TAHMASEBI, SOHRAB, & ANSARI, MOHAMMAD REZA. (2016). ANALYTICAL APPROACH TO ESTIMATE SUPERCAVITY LENGTH BASED ON CAVITY AND REYNOLDS NUMBERS. MODARES MECHANICAL ENGINEERING, 16(5), 153-159. SID. https://sid.ir/paper/177950/en

Vancouver: Copy

MAREFAT MAHDI, TAHMASEBI SOHRAB, ANSARI MOHAMMAD REZA. ANALYTICAL APPROACH TO ESTIMATE SUPERCAVITY LENGTH BASED ON CAVITY AND REYNOLDS NUMBERS. MODARES MECHANICAL ENGINEERING[Internet]. 2016;16(5):153-159. Available from: https://sid.ir/paper/177950/en

IEEE: Copy

MAHDI MAREFAT, SOHRAB TAHMASEBI, and MOHAMMAD REZA ANSARI, “ANALYTICAL APPROACH TO ESTIMATE SUPERCAVITY LENGTH BASED ON CAVITY AND REYNOLDS NUMBERS,” MODARES MECHANICAL ENGINEERING, vol. 16, no. 5, pp. 153–159, 2016, [Online]. Available: https://sid.ir/paper/177950/en

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