Influence of initial conditions on transient two-dimensional thin-film flow

2002 ◽  
Vol 14 (12) ◽  
pp. 4448-4451 ◽  
Author(s):  
Roger E. Khayat ◽  
Kyu-Tae Kim
Keyword(s):  
Thin Film ◽  
Film Flow ◽  
Initial Conditions ◽  
Two Dimensional ◽  
Thin Film Flow

Thin-Film Flow of a Power-Law Fluid Down an Inclined Plane

2012 ◽  
Vol 134 (4) ◽  
Author(s):  
A. Ganguly ◽  
M. Reza ◽  
A. S. Gupta
Keyword(s):  
Thin Film ◽  
Power Law ◽  
Film Flow ◽  
Equations Of Motion ◽  
Dimensionless Time ◽  
Two Dimensional ◽  
Thin Film Flow ◽  
Power Law Fluid ◽  
Inclined Plane ◽  
Two Dimensional Flow

An analysis is presented for two-dimensional flow of a thin layer of power-law fluid down an inclined plane. Integration of the equations of motion using lubrication approximations shows that for both pseudoplastic and dilatant fluids, the rate of advance of a blob of fluid of given volume decreases with increasing time. The analysis further reveals that for dimensionless time less than about 0.50, a blob of the fluid (of fixed volume) with given exponent n moves faster than a fluid of same volume with larger n. However, thereafter, a blob of the latter fluid moves faster than the former fluid.

Influence of circumferential waviness on engine bearing performance

2000 ◽  
Vol 214 (1) ◽  
pp. 51-61 ◽  
Author(s):  
D. S. Mehenny ◽  
C. M. Taylor
Keyword(s):  
Thin Film ◽  
Film Flow ◽  
Film History ◽  
Two Dimensional ◽  
Thin Film Flow ◽  
Main Bearing ◽  
Automotive Engine ◽  
Form Errors ◽  
Minimum Film Thickness ◽  
Engine Bearing

The influence of circumferential waviness of the journal on the lubrication of the inter-main bearing of an automotive engine is investigated using a theoretical analysis. The analysis is for two-dimensional thin film flow, with oil-film history. The bearing and shaft surfaces were assumed to be rigid and the lubricant isoviscous. The results show a significant influence of shaft lobing on predicted maximum film pressure and minimum film thickness, particularly as the number and size of lobes increase. It is concluded that, for satisfactory operation of engine bearings, circumferential form errors of the shaft need to be controlled.

scholarly journals Optimal Homotopy Asymptotic Method for a thin film flow of a pseudo plastic fluid draining down or lifting up on a cylindrical surface

2013 ◽  
Vol 19 (4) ◽  
pp. 513-527
Author(s):  
Kamran Alam ◽  
M.T. Rahim ◽  
S. Islam ◽  
A.M. Sidiqqui
Keyword(s):  
Thin Film ◽  
Asymptotic Method ◽  
Cylindrical Surface ◽  
Film Flow ◽  
Vertical Cylinder ◽  
Stokes Number ◽  
Velocity Shear ◽  
Thin Film Flow ◽  
Fluid Velocities ◽  
Optimal Homotopy Asymptotic Method

In this study, the pseudo plastic model is used to obtain the solution for the steady thin film flow on the outer surface of long vertical cylinder for lifting and drainage problems. The non-linear governing equations subject to appropriate boundary conditions are solved analytically for velocity profiles by a modified homotopy perturbation method called the Optimal Homotopy Asymptotic method. Expressions for the velocity profile, volume flux, average velocity, shear stress on the cylinder, normal stress differences, force to hold the vertical cylindrical surface in position, have been derived for both the problems. For the non-Newtonian parameter ?=0, we retrieve Newtonian cases for both the problems. We also plotted and discussed the affect of the Stokes number St, the non-Newtonian parameter ? and the thickness ? of the fluid film on the fluid velocities.

scholarly journals MHD thin film flow of the Oldroyd-B fluid together with bioconvection and activation energy

2021 ◽  
pp. 101218
Author(s):  
Farhan Ahmad ◽  
Taza Gul ◽  
Imran Khan ◽  
Anwar Saeed ◽  
Mahmoud Mohamed Selim ◽  
...  
Keyword(s):  
Thin Film ◽  
Activation Energy ◽  
Film Flow ◽  
Thin Film Flow
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