公开(公告)号：US12061141B2

公开(公告)日：2024-08-13

申请号：US17345839

申请日：2021-06-11

Applicant: Purdue Research Foundation

Inventor： Hansol Wee ,  Brayden W. Wagoner ,  Pritish M. Kamat ,  Vishrut Garg ,  Osman A. Basaran

IPC: G01N13/02

CPC classification number: G01N13/02 ,  G01N2013/0241 ,  G01N2013/0275

Abstract: A method is provided for determining the surface viscosity of a liquid in which a thread is formed from a drop of the liquid. The thread is lengthened and its minimum radius h0 is determined at multiple times between the thread formation and thread pinch-off. The minimum radius and associated time values are used to determine a linear relationship of minimum radius and time, with the coefficient of the linear relationship, or the slope X of the line in the linear relationship, corresponding to the surface viscosity μs of the liquid according to one of the following equations:








x
=



0
.
0

⁢
7
⁢
0
⁢
9


1
+

5
⁢

B


s0
/
3

⁢

h
0







,




(
1
)







where Bs0=μs/μR in which h0 is defined as above, R is the dimension of the feature on which the drop is provided and μ is the bulk viscosity of the liquid, or









x
=



0
.
0

⁢
3
⁢
0
⁢
4


Oh
⁡
(

1
+

5
⁢

b


s0
/
3

⁢

h
0





)



,




(
2
)







in which Oh=μ/√{square root over (ρRσ)}, where μ and R are as defined above, ρ is the density of the liquid, and σ is the surface tension of the liquid without surfactants.

公开(公告)号：US20210389221A1

公开(公告)日：2021-12-16

申请号：US17345839

申请日：2021-06-11

Applicant: Purdue Research Foundation

Inventor： Hansol Wee ,  Brayden W. Wagoner ,  Pritish M. Kamat ,  Vishrut Garg ,  Osman A. Basaran

IPC: G01N13/02

Abstract: A method is provided for determining the surface viscosity of a liquid in which a thread is formed from a drop of the liquid. The thread is lengthened and its minimum radius h0 is determined at multiple times between the thread formation and thread pinch-off. The minimum radius and associated time values are used to determine a linear relationship of minimum radius and time, with the coefficient of the linear relationship, or the slope X of the line in the linear relationship, corresponding to the surface viscosity μs of the liquid according to one of the following equations: x = 0 . 0 ⁢ 7 ⁢ 0 ⁢ 9 1 + 5 ⁢ B s0 / 3 ⁢ ⁢ h 0 , ( 1 ) where Bs0=μs/μR in which h0 is defined as above, R is the dimension of the feature on which the drop is provided and μ is the bulk viscosity of the liquid, or x = 0 . 0 ⁢ 3 ⁢ 0 ⁢ 4 Oh ⁡ ( 1 + 5 ⁢ ⁢ b s0 / 3 ⁢ ⁢ h 0 ) , ( 2 ) in which Oh=μ/√{square root over (ρRσ)}, where μ and R are as defined above, ρ is the density of the liquid, and σ is the surface tension of the liquid without surfactants.