scholarly journals Entropy Generation in MHD Second-Grade Nanofluid Thin Film Flow Containing CNTs with Cattaneo-Christov Heat Flux Model Past an Unsteady Stretching Sheet

2020 ◽  
Vol 10 (8) ◽  
pp. 2720 ◽  
Author(s):  
Zahir Shah ◽  
Ebraheem O. Alzahrani ◽  
Abdullah Dawar ◽  
Wajdi Alghamdi ◽  
Malik Zaka Ullah
Keyword(s):  
Entropy Generation ◽  
Volume Fraction ◽  
Second Grade ◽  
Thin Film Flow ◽  
Second Grade Fluid ◽  
Fluid Parameter ◽  
Grade Fluid ◽  
Flux Model ◽  
Walled Carbon Nanotubes ◽  
Heat Flux Model

Entropy generation plays a significant role in several complex processes, extending from cosmology to biology. The entropy generation minimization procedure can be applied for the optimization of mechanical systems including heat exchangers, elements of nuclear and thermal power plants, ventilation and air-conditioning systems. In order to present our analysis, entropy generation in a thin film flow of second grade nanofluid holding single-walled carbon nanotubes (SWCNTs) and multi-walled carbon nanotubes (MWCNTs) with a Cattaneo–Christov heat flux model is studied in this article. The flow is considered passing a linearly extending surface. A variable magnetic field with aligned angle ε is functioned along the extending sheet. With the aid of the homotopy analysis method (HAM), the fluid flow model is elucidated. The impressions of embedded factors on the flow are obtainable through figures and discussed in detail. It is observed that the velocity profile escalated with the increasing values of volume fraction of nanoparticles and second grade fluid parameter. The higher values of volume fraction of nanoparticles, second grade fluid parameter, non-linear heat source/sink, and thermal radiation parameter intensified the temperature profile. Surface drag force escalated with heightening values of nanoparticles volume fraction, unsteadiness, film thickness, magnetic, and second grade fluid parameters. Entropy generation increased with enhancing values of magnetic parameter, Brinkman number, and Reynolds number.

Entropy generation optimisation in the nanofluid flow of a second grade fluid with nonlinear thermal radiation

Pramana ◽  
2019 ◽  
Vol 93 (4) ◽  
Author(s):  
Tasawar Hayat ◽  
Mehreen Kanwal ◽  
Sumaira Qayyum ◽  
M Ijaz Khan ◽  
Ahmed Alsaedi
Keyword(s):  
Thermal Radiation ◽  
Entropy Generation ◽  
Second Grade ◽  
Nonlinear Thermal Radiation ◽  
Second Grade Fluid ◽  
Nanofluid Flow ◽  
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

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.

scholarly journals Flow of a Dense Suspension Modeled as a Modified Second Grade Fluid

Fluids ◽  
2018 ◽  
Vol 3 (3) ◽  
pp. 55 ◽  
Author(s):  
Wei-Tao Wu ◽  
Nadine Aubry ◽  
James Antaki ◽  
Mehrdad Massoudi
Keyword(s):  
Normal Stress ◽  
Volume Fraction ◽  
Variable Viscosity ◽  
Fluid Model ◽  
Constitutive Relationship ◽  
Second Grade ◽  
Simple Shear Flow ◽  
Second Grade Fluid ◽  
Dense Suspension ◽  
Grade Fluid

In this paper, a simple shear flow of a dense suspension is studied. We propose a new constitutive relationship based on the second grade fluid model for the suspension, capable of exhibiting non-linear effects, where the normal stress coefficients are assumed to depend on the volume fraction of the particles and the shear viscosity depends on the shear rate and the volume fraction. After non-dimensionalizing the equations, we perform a parametric study looking at the effects of the normal stress coefficients and the variable viscosity. The numerical results show that for a certain range of parameters, the particles tend to form a region of high and uniform volume fraction, near the lower half of the flow.

scholarly journals Analysis of thin film flow over a vertical oscillating belt with a second grade fluid

2015 ◽  
Vol 18 (2) ◽  
pp. 207-217 ◽  
Author(s):  
Taza Gul ◽  
Saeed Islam ◽  
Rehan Ali Shah ◽  
Ilyas Khan ◽  
Sharidan Shafie ◽  
...  
Keyword(s):  
Thin Film ◽  
Film Flow ◽  
Second Grade ◽  
Thin Film Flow ◽  
Second Grade Fluid ◽  
Grade Fluid

OHAM analysis for dissipative viscoelastic nanofluid considering entropy generation and activation energy

2019 ◽  
Vol 29 (12) ◽  
pp. 4807-4825 ◽  
Author(s):  
M. Mudassar Gulzar ◽  
Shagufta Jabeen ◽  
Muhammad Waqas ◽  
Sabir Ali Shehzad ◽  
Tasawar Hayat ◽  
...  
Keyword(s):  
Entropy Generation ◽  
Second Grade ◽  
Bejan Number ◽  
Nonlinear Thermal Radiation ◽  
Second Grade Fluid ◽  
Content Type ◽  
Nonlinear Mixed Convection ◽  
Grade Fluid ◽  
Viscoelastic Nanofluid ◽  
Layer Flow

Purpose The purpose of this study is to scrutinize the effects of entropy generation and nonlinear mixed convection on the boundary layer flow of second grade fluid induced by stretching sheets. Heat transfer effects are accounted in view of viscous dissipation and nonlinear thermal radiation. Design/methodology/approach Optimal homotopic asymptotic method procedure is adopted to obtain the analytical solution of nonlinear ordinary differential equations. Findings It has been noticed that Hartmann and Brinkman number has reverse characteristics against entropy generation and Bejan number. Originality/value To the best of the authors’ knowledge, no such analysis has been reported to date.

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