Novel insights into the computational techniques in unsteady MHD second‐grade fluid dynamics with oscillatory boundary conditions

Heat Transfer ◽  
2020 ◽  
Author(s):  
Liaqat Ali ◽  
Noor S. Khan ◽  
Rohail Ali ◽  
Saeed Islam ◽  
Poom Kumam ◽  
...  
Keyword(s):  
Fluid Dynamics ◽  
Boundary Conditions ◽  
Second Grade ◽  
Computational Techniques ◽  
Second Grade Fluid ◽  
Grade Fluid

Effects of partial slip on axisymmetric flow of an electrically conducting viscoelastic fluid past a stretching sheet

Open Physics ◽  
2010 ◽  
Vol 8 (3) ◽  
Author(s):  
Bikash Sahoo
Keyword(s):  
Differential Equation ◽  
Friction Coefficient ◽  
Boundary Conditions ◽  
Skin Friction ◽  
Skin Friction Coefficient ◽  
Partial Slip ◽  
Second Grade ◽  
Second Grade Fluid ◽  
Electrically Conducting ◽  
Grade Fluid

AbstractThe entrained flow of an electrically conducting non-Newtonian, viscoelastic second grade fluid due to an axisymmetric stretching surface with partial slip is considered. The partial slip is controlled by a dimensionless slip factor, which varies between zero (total adhesion) and infinity (full slip). Suitable similarity transformations are used to reduce the resulting highly nonlinear partial differential equation into an ordinary differential equation. The issue of paucity of boundary conditions is addressed, and an effective numerical scheme has been adopted to solve the obtained differential equation even without augmenting the boundary conditions. The important findings in this communication are the combined effects of the partial slip, magnetic interaction parameter and the second grade fluid parameter on the velocity and skin friction coefficient. It is observed that in presence of slip, the velocity decreases with an increase in the magnetic parameter. That is, the Lorentz force which opposes the flow leads to enhanced deceleration of the flow. Moreover, it is interesting to find that as slip increases in magnitude, permitting more fluid to slip past the sheet, the skin friction coefficient decreases in magnitude and approaches zero for higher values of the slip parameter, i.e., the fluid behaves as though it were inviscid.

scholarly journals Heat transfer analysis of a second grade fluid over a stretching sheet

1995 ◽  
Vol 18 (4) ◽  
pp. 765-772 ◽  
Author(s):  
C. E. Maneschy ◽  
M. Massoudi
Keyword(s):  
Heat Transfer ◽  
Boundary Conditions ◽  
Newtonian Fluid ◽  
Stretching Sheet ◽  
Heat Transfer Analysis ◽  
Second Grade ◽  
Temperature Profiles ◽  
Second Grade Fluid ◽  
Grade Fluid

The heat tranfer and flow of a non-Newtonian fluid past a stretching sheet is analyzed in this paper. Results in a non-dimensional form are presented here for the velocity and temperature profiles assuming different kind of boundary conditions.

scholarly journals Radiative Squeezing Flow of Second Grade Fluid with Convective Boundary Conditions

PLoS ONE ◽  
2016 ◽  
Vol 11 (4) ◽  
pp. e0152555 ◽  
Author(s):  
T. Hayat ◽  
Sumaira Jabeen ◽  
Anum Shafiq ◽  
A. Alsaedi
Keyword(s):  
Boundary Conditions ◽  
Second Grade ◽  
Squeezing Flow ◽  
Convective Boundary Conditions ◽  
Second Grade Fluid ◽  
Convective Boundary ◽  
Grade Fluid

scholarly journals Exact Analysis of Second Grade Fluid with Generalized Boundary Conditions

2021 ◽  
Vol 28 (2) ◽  
pp. 547-559
Author(s):  
Syed Tauseef Saeed ◽  
Muhammad Bilal Riaz ◽  
Dumitru Baleanu ◽  
Ali Akg黮 ◽  
Syed Muhammad Husnine
Keyword(s):  
Boundary Conditions ◽  
Second Grade ◽  
Second Grade Fluid ◽  
Exact Analysis ◽  
Grade Fluid ◽  
Generalized Boundary Conditions

scholarly journals Transient electro-osmotic flow of generalized second-grade fluids under slip boundary conditions

2017 ◽  
Vol 95 (12) ◽  
pp. 1313-1320 ◽  
Author(s):  
Xiaoping Wang ◽  
Haitao Qi ◽  
Huanying Xu
Keyword(s):  
Boundary Conditions ◽  
Velocity Distribution ◽  
Fluid Velocity ◽  
Second Grade ◽  
Second Grade Fluid ◽  
Osmotic Flow ◽  
Slip Boundary ◽  
Grade Fluid ◽  
Second Grade Fluids ◽  
Electro Osmotic Flow

This work investigates the transient slip flow of viscoelastic fluids in a slit micro-channel under the combined influences of electro-osmotic and pressure gradient forcings. We adopt the generalized second-grade fluid model with fractional derivative as the constitutive equation and the Navier linear slip model as the boundary conditions. The analytical solution for velocity distribution of the electro-osmotic flow is determined by employing the Debye–Hückel approximation and the integral transform methods. The corresponding expressions of classical Newtonian and second-grade fluids are obtained as the limiting cases of our general results. These solutions are presented as a sum of steady-state and transient parts. The combined effects of slip boundary conditions, fluid rheology, electro-osmotic, and pressure gradient forcings on the fluid velocity distribution are also discussed graphically in terms of the pertinent dimensionless parameters. By comparison with the two cases corresponding to the Newtonian fluid and the classical second-grade fluid, it is found that the fractional derivative parameter β has a significant effect on the fluid velocity distribution and the time when the fluid flow reaches the steady state. Additionally, the slip velocity at the wall increases in a noticeable manner the flow rate in an electro-osmotic flow.

scholarly journals Taylor–Couette flow of a generalized second grade fluid due to a constant couple

2010 ◽  
Vol 15 (1) ◽  
pp. 3-13 ◽  
Author(s):  
M. Athar ◽  
M. Kamran ◽  
C. Fetecau
Keyword(s):  
Shear Stress ◽  
Velocity Field ◽  
Boundary Conditions ◽  
Unit Length ◽  
Second Grade ◽  
Second Grade Fluid ◽  
Coaxial Cylinders ◽  
Constant Torque ◽  
Grade Fluid ◽  
Generalized Second Grade Fluid

The velocity field and the adequate shear stress, corresponding to the flow of a generalized second grade fluid in an annular region between two infinite coaxial cylinders, are determined by means of Laplace and finite Hankel transforms. The motion is produced by the inner cylinder which is rotating about its axis due to a constant torque f per unit length. The solutions that have been obtained satisfy all imposed initial and boundary conditions. For β → 1 or β → 1 and α1 → 0, the corresponding solutions for an ordinary second grade fluid, respectively, for the Newtonian fluid, performing the same motion, are obtained as limiting cases.

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