On comparison of exact and series solutions for thin film flow of a third-grade fluid

2009 ◽  
Vol 61 (9) ◽  
pp. 987-994 ◽  
Author(s):  
S. Abbasbandy ◽  
T. Hayat ◽  
F. M. Mahomed ◽  
R. Ellahi
Keyword(s):  
Thin Film ◽  
Film Flow ◽  
Third Grade ◽  
Series Solutions ◽  
Third Grade Fluid ◽  
Thin Film Flow ◽  
Grade Fluid

Thin Film Flow of a Third Grade Fluid with Variable Viscosity

2009 ◽  
Vol 64 (9-10) ◽  
pp. 553-558 ◽  
Author(s):  
Sohail Nadeem
Keyword(s):  
Thin Film ◽  
Film Flow ◽  
Variable Viscosity ◽  
Nonlinear Differential Equations ◽  
Third Grade ◽  
Outer Side ◽  
Physical Parameters ◽  
Third Grade Fluid ◽  
Thin Film Flow ◽  
Grade Fluid

The effects of variable viscosity on the flow and heat transfer in a thin film flow for a third grade fluid has been discussed. The thin film is considered on the outer side of an infinitely long vertical cylinder. The governing nonlinear differential equations of momentum and energy are solved analytically by using homotopy analysis method. The expression for the viscous dissipation and entropy generation are also defined. The graphical results are presented for various physical parameters appearing in the problem

scholarly journals Thin Film Flow in MHD Third Grade Fluid on a Vertical Belt with Temperature Dependent Viscosity

PLoS ONE ◽  
2014 ◽  
Vol 9 (6) ◽  
pp. e97552 ◽  
Author(s):  
Taza Gul ◽  
Saed Islam ◽  
Rehan Ali Shah ◽  
Ilyas Khan ◽  
Sharidan Shafie
Keyword(s):  
Thin Film ◽  
Film Flow ◽  
Third Grade ◽  
Third Grade Fluid ◽  
Thin Film Flow ◽  
Temperature Dependent ◽  
Temperature Dependent Viscosity ◽  
Grade Fluid ◽  
Dependent Viscosity

Thin-Film Flow of MHD Third Grade Fluid in a Porous Space

2009 ◽  
Vol 12 (1) ◽  
pp. 65-75 ◽  
Author(s):  
Tasawar Hayat ◽  
G. Ahmed ◽  
M. Sajid
Keyword(s):  
Thin Film ◽  
Film Flow ◽  
Third Grade ◽  
Porous Space ◽  
Third Grade Fluid ◽  
Thin Film Flow ◽  
Grade Fluid

scholarly journals Comparison of Optimal Homotopy Asymptotic and Adomian Decomposition Methods for a Thin Film Flow of a Third Grade Fluid on a Moving Belt

2015 ◽  
Vol 2015 ◽  
pp. 1-4 ◽  
Author(s):  
Fazle Mabood ◽  
Nopparat Pochai
Keyword(s):  
Thin Film ◽  
Film Flow ◽  
Adomian Decomposition Method ◽  
Decomposition Methods ◽  
Third Grade ◽  
Third Grade Fluid ◽  
Thin Film Flow ◽  
Analytical Technique ◽  
Adomian Decomposition ◽  
Grade Fluid

We have investigated a thin film flow of a third grade fluid on a moving belt using a powerful and relatively new approximate analytical technique known as optimal homotopy asymptotic method (OHAM). The variation of velocity profile for different parameters is compared with the numerical values obtained byRunge-Kutta Fehlberg fourth-fifth ordermethod and with Adomian Decomposition Method (ADM). An interesting result of the analysis is that the three terms OHAM solution is more accurate than five terms of the ADM solution and this thus confirms the feasibility of the proposed method.

Numerical Investigation of Thin Film Flow of a Third-Grade Fluid on a Moving Belt Using Evolutionary Algorithm-Based Heuristic Technique

2021 ◽  
pp. 2250011
Author(s):  
Fazal Subhan ◽  
Suheel Abdullah Malik ◽  
Muhammad Asghar Khan ◽  
Muhammad Adnan Aziz ◽  
M. Irfan Uddin ◽  
...  
Keyword(s):  
Thin Film ◽  
Film Flow ◽  
Fitness Function ◽  
Third Grade ◽  
Third Grade Fluid ◽  
Thin Film Flow ◽  
Adomian Decomposition ◽  
Grade Fluid ◽  
The Impact ◽  
The Given

This paper presents a stochastic heuristic approach to solve numerically nonlinear differential equation (NLDE) governing the thin film flow of a third-grade fluid (TFF-TGF) on a moving belt. Moreover, the impact on velocity profile due to fluid attribute is also investigated. The estimate solution of the given NLDE is achieved by using the linear combination of Bernstein polynomials with unknown constants. A fitness function is deduced to convert the given NLDE along with its boundary conditions into an optimization problem. Genetic algorithm (GA) is employed to optimize the values of unknown constants. The proposed approach provided results in good agreement with numerical values taken by Runge–Kutta and more accurate than two popular classical methods including Adomian Decomposition Method (ADM) and Optimal Homotopy Asymptotic Method (OHAM). The error is minimized 10[Formula: see text] times to 10[Formula: see text] times.

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