Three-dimensional thin film flow over and around an obstacle on an inclined plane

2009 ◽  
Vol 21 (3) ◽  
pp. 032102 ◽  
Author(s):  
S. J. Baxter ◽  
H. Power ◽  
K. A. Cliffe ◽  
S. Hibberd
Keyword(s):  
Thin Film ◽  
Film Flow ◽  
Three Dimensional ◽  
Thin Film Flow ◽  
Inclined Plane

scholarly journals Three-Dimensional Casson Nanofluid Thin Film Flow over an Inclined Rotating Disk with the Impact of Heat Generation/Consumption and Thermal Radiation

Coatings ◽  
2019 ◽  
Vol 9 (4) ◽  
pp. 248 ◽  
Author(s):  
Anwar Saeed ◽  
Zahir Shah ◽  
Saeed Islam ◽  
Muhammad Jawad ◽  
Asad Ullah ◽  
...  
Keyword(s):  
Thin Film ◽  
Boundary Layer ◽  
Differential Equations ◽  
Thermal Boundary Layer ◽  
Energy Transport ◽  
Film Flow ◽  
Three Dimensional ◽  
Concentration Profiles ◽  
Thin Film Flow ◽  
The Impact

In this research, the three-dimensional nanofluid thin-film flow of Casson fluid over an inclined steady rotating plane is examined. A thermal radiated nanofluid thin film flow is considered with suction/injection effects. With the help of similarity variables, the partial differential equations (PDEs) are converted into a system of ordinary differential equations (ODEs). The obtained ODEs are solved by the homotopy analysis method (HAM) with the association of MATHEMATICA software. The boundary-layer over an inclined steady rotating plane is plotted and explored in detail for the velocity, temperature, and concentration profiles. Also, the surface rate of heat transfer and shear stress are described in detail. The impact of numerous embedded parameters, such as the Schmidt number, Brownian motion parameter, thermophoretic parameter, and Casson parameter (Sc, Nb, Nt, γ), etc., were examined on the velocity, temperature, and concentration profiles, respectively. The essential terms of the Nusselt number and Sherwood number were also examined numerically and physically for the temperature and concentration profiles. It was observed that the radiation source improves the energy transport to enhance the flow motion. The smaller values of the Prandtl number, Pr, augmented the thermal boundary-layer and decreased the flow field. The increasing values of the rotation parameter decreased the thermal boundary layer thickness. These outputs are examined physically and numerically and are also discussed.

scholarly journals Inertial two- and three-dimensional thin film flow over topography

2011 ◽  
Vol 50 (5-6) ◽  
pp. 537-542 ◽  
Author(s):  
S. Veremieiev ◽  
H.M. Thompson ◽  
Y.C. Lee ◽  
P.H. Gaskell
Keyword(s):  
Thin Film ◽  
Film Flow ◽  
Three Dimensional ◽  
Thin Film Flow ◽  
Flow Over Topography

On thin film flow of a third-grade fluid down an inclined plane

2011 ◽  
Vol 82 (2) ◽  
pp. 261-266 ◽  
Author(s):  
V. Kumaran ◽  
R. Tamizharasi ◽  
J. H. Merkin ◽  
K. Vajravelu
Keyword(s):  
Thin Film ◽  
Film Flow ◽  
Third Grade ◽  
Third Grade Fluid ◽  
Thin Film Flow ◽  
Inclined Plane ◽  
Grade Fluid

New Models in the Theory of the Hydrodynamic Lubrication of Rough Surfaces

1988 ◽  
Vol 110 (3) ◽  
pp. 402-407 ◽  
Author(s):  
G. Bayada ◽  
M. Chambat
Keyword(s):  
Thin Film ◽  
Qualitative Study ◽  
Stokes System ◽  
Film Flow ◽  
Hydrodynamic Lubrication ◽  
Three Dimensional ◽  
Thin Film Flow ◽  
New Models ◽  
Small Parameters ◽  
The Mean

Recent advances in mathematical analysis of problems described by several small parameters equations are used to revisit the general roughness problem. In this paper, we put forward a new qualitative study of a thin film flow with a rapidly varying gap. Using an asymptotic analysis of the three-dimensional Stokes system we obtain a family of new generalized Reynolds equations. We are led to distinguish three different cases in which the periodic roughness wavelength is on the order of, greater or shorter than the mean thickness of the gap.

scholarly journals Significance of magnetic Reynolds number in a three-dimensional squeezing Darcy–Forchheimer hydromagnetic nanofluid thin-film flow between two rotating disks

2020 ◽  
Vol 10 (1) ◽  
Author(s):  
Saima Riasat ◽  
Muhammad Ramzan ◽  
Seifedine Kadry ◽  
Yu-Ming Chu
Keyword(s):  
Thin Film ◽  
Carbon Nanotubes ◽  
Reynolds Number ◽  
Film Flow ◽  
Three Dimensional ◽  
Magnetic Reynolds Number ◽  
Partial Slip ◽  
Rotating Disks ◽  
Thin Film Flow ◽  
Multiwalled Carbon

Abstract The remarkable aspects of carbon nanotubes like featherweight, durability, exceptional electrical and thermal conduction capabilities, and physicochemical stability make them desirous materials for electrochemical devices. Having such astonishing characteristics of nanotubes in mind our aspiration is to examine the squeezing three dimensional Darcy–Forchheimer hydromagnetic nanofluid thin-film flow amid two rotating disks with suspended multiwalled carbon nanotubes (MWCNTs) submerged into the base fluid water. The analysis is done by invoking partial slip effect at the boundary in attendance of autocatalytic reactions. The mathematical model consists of axial and azimuthal momentum and magnetic fields respectively. The tangential and axial velocity profiles and components of the magnetic field are examined numerically by employing the bvp4c method for varying magnetic, rotational, and squeezing Reynolds number. The torque effect near the upper and lower disks are studied critically using their graphical depiction. The values of the torque at the upper and lower disks are obtained for rotational and squeezed Reynolds numbers and are found in an excellent concurrence when compared with the existing literature. Numerically it is computed that the torque at the lower disk is higher in comparison to the upper disk for mounting estimates of the squeezed Reynolds number and the dimensionless parameter for magnetic force in an axial direction. From the graphical illustrations, it is learned that thermal profile declines for increasing values of the squeezed Reynolds number.

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.

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