TY - JOUR
T1 - Analytical approach to estimate supercavity length based on cavity and Reynolds numbers
TT - پیشنهاد روابط تحلیلی جهت برآورد طول اَبَرکاواک بر اساس عدد کاواک و عدد رینولدز
JF - mdrsjrns
JO - mdrsjrns
VL - 16
IS - 5
UR - http://mme.modares.ac.ir/article-15-8243-en.html
Y1 - 2016
SP - 153
EP - 159
KW - Cavity length
KW - cavity number
KW - order of magnitude method
N2 - Cavity length estimation is important as supercavity condition is generated. The 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 present work purpose is to estimate analytical based relations for cavity length with respect to mass transfer, continuity and momentum conservation equations. This effort which has been 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 with the inverse square root of cavity number. The second analytical relation calculates cavity length in respect to Reynolds number. It shows cavity length has proportional relation to Reynolds square root. The third analytical relation considers cavity number in respect to Reynolds number. The third relation shows that cavity number has inverse relation to Reynolds number. Unknown coefficients values of the relations obtained through comparison with the already existed experimental results. These analytical relations which are appropriate alternative to experimental based relations estimate cavity length in respect to cavity and Reynolds number.
M3
ER -