Free surface film flow of an unsteady second grade fluid over a stretching sheet with surface tension linearly varies with temperature

2020 ◽  
Vol 551 ◽  
pp. 123956 ◽  
Author(s):  
Sajid Rehman ◽  
Rehan Ali Shah ◽  
Aamir Khan ◽  
Zeeshan Khan
Keyword(s):  
Surface Tension ◽  
Free Surface ◽  
Stretching Sheet ◽  
Film Flow ◽  
Surface Film ◽  
Second Grade ◽  
Second Grade Fluid ◽  
Grade Fluid

scholarly journals Thin film flow of a second grade fluid in a porous medium past a stretching sheet with heat transfer

2018 ◽  
Vol 57 (2) ◽  
pp. 1019-1031 ◽  
Author(s):  
Noor Saeed Khan ◽  
Saeed Islam ◽  
Taza Gul ◽  
Ilyas Khan ◽  
Waris Khan ◽  
...  
Keyword(s):  
Thin Film ◽  
Heat Transfer ◽  
Porous Medium ◽  
Stretching Sheet ◽  
Film Flow ◽  
Second Grade ◽  
Thin Film Flow ◽  
Second Grade Fluid ◽  
Grade Fluid

FREE-SURFACE DYNAMICS OF THIN SECOND-GRADE FLUID OVER AN UNSTEADY STRETCHING SHEET

2018 ◽  
Vol 60 (2) ◽  
pp. 249-268
Author(s):  
S. PANDA ◽  
K. K. PATRA ◽  
M. SELLIER
Keyword(s):  
Thin Film ◽  
Free Surface ◽  
Stretching Sheet ◽  
Second Grade ◽  
Uniform Grid ◽  
Surface Dynamics ◽  
Second Grade Fluid ◽  
Unsteady Stretching Sheet ◽  
Grade Fluid ◽  
Free Surface Dynamics

We derive an evolution equation for the free-surface dynamics of a thin film of a second-grade fluid over an unsteady stretching sheet using long-wave theory. For the numerical investigation of the viscoelastic effect on the thin-film dynamics, a finite-volume approach on a uniform grid with implicit flux discretization is applied. The present results are in excellent agreement with results available in the literature for a Newtonian fluid. We observe that the fluid thins faster with the rapid stretching rate of the sheet, but the second-grade parameter delays the thinning behaviour of the liquid film.

scholarly journals Series Solutions of Lifting and Drainage Problems of a Nonisothermal Modified Second Grade Fluid Using a Vertical Cylinder

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
M. Farooq ◽  
M. T. Rahim ◽  
S. Islam ◽  
M. Arif
Keyword(s):  
Film Flow ◽  
Nonlinear Differential Equations ◽  
Vertical Cylinder ◽  
Second Grade ◽  
Series Solutions ◽  
Thin Film Flow ◽  
Second Grade Fluid ◽  
Flow Problems ◽  
Grade Fluid ◽  
Energy Equations

We studied the thin film flow for lifting and drainage problems using an incompressible, nonisothermal modified second grade fluid. We developed nonlinear differential equations from momentum and energy equations, respectively. Series solutions for both lifting and drainage problems are obtained. Expressions for the velocity profile, temperature distribution, volume flux, average film velocity, and shear stress on cylinder for both cases are obtained. Effects of different parameters on the flow problems are presented graphically.

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