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S. M. Patil et al.
Table 2
Dimensionless groups
Variable
Dimensionless
π -products Variable
Dimensionless
π -products Variable
Dimensionless
π -products
R
c
, N
r
, W
u and D
π 2
:
D
Rc
R
c
, N
r
, W
u and L
π 8
:
L
Rc
R
c
, N
r
, W
u and I
s
π 14
:
Is Rc
Wu N 2
r
R
c
, N
r
, W
u and d
b
π 3
:
d
b
Rc
R
c
, N
r
, W
u and
ρ
π 9
:
ρ R 5
c
Wu
R
c
, N
r
, W
u and I
r
n!
r
!(n−r)!
π 15
:
Ir Rc
Wu N 2
r
R
c
, N
r
, W
u and d
i
π 4
:
d
i
Rc
R
c
, N
r
, W
u and E
S
π 10
:
E
S Rc
Wu N 2
r
R
c
, N
r
, W
u and
δ
π 16
:
δ
Rc
R
c
, N
r
, W
u and d
o
π 5
:
do
Rc
R
c
, N
r
, W
u and E
R
π 11
:
E
R Rc
Wu N 2
r
R
c
, N
r
, W
u and
δ
π 17
:
C
Wu Nr
R
c
, N
r
, W
u and d
m
π 6
:
dm
Rc
R
c
, N
r
, W
u and W
s
π 12
:
Ws
Wu
R
c
, N
r
, W
u and T
π 18
:
T
Wu N 2
r R 2
c
R
c
, N
r
, W
u and B
π 7
:
B
Rc
R
c
, N
r
, W
u and W
r
π 13
:
Wr
Wu
R
c
, N
r
, W
u and
π 19
:
Rc
R
c
, N
r
, W
u and f
s
π 20
:
fs
Nr