Use of Adomian decomposition method in the study of parallel plate flow of a third grade fluid

2010 ◽  
Vol 15 (9) ◽  
pp. 2388-2399 ◽  
Author(s):  
A.M. Siddiqui ◽  
M. Hameed ◽  
B.M. Siddiqui ◽  
Q.K. Ghori
Keyword(s):  
Parallel Plate ◽  
Decomposition Method ◽  
Adomian Decomposition Method ◽  
Third Grade ◽  
Third Grade Fluid ◽  
Adomian Decomposition ◽  
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.

Effect of Suction/Injection on the Entropy Generation of Third Grade Fluid with Convective Cooling

2018 ◽  
Vol 384 ◽  
pp. 21-30 ◽  
Author(s):  
Abiodun A. Opanuga ◽  
Jacob A. Gbadeyan ◽  
Olasumbo O. Agboola ◽  
Hilary I. Okagbue
Keyword(s):  
Entropy Generation ◽  
Fluid Velocity ◽  
Adomian Decomposition Method ◽  
Third Grade ◽  
Fluid Temperature ◽  
Third Grade Fluid ◽  
Convective Cooling ◽  
Injection Parameter ◽  
Adomian Decomposition ◽  
Grade Fluid

Effect of suction/injection on the rate of entropy generation of third grade fluid with convective cooling is analysed in this work. The highly non-linear boundary value problems obtained from the governing equations are solved by Adomian decomposition method (ADM). Some plots are presented to explain the influence of pertinent parameters on fluid motion, temperature, entropy generation and irreversibility ratio. From the results it is shown that suction/injection and third grade fluid parameters reduce fluid velocity across the channel, and increase in suction/injection parameter enhances fluid temperature while convective cooling parameter reduces it. Entropy generation is enhanced by suction/injection parameter at the lower wall but reduces it at the upper wall

scholarly journals Analysis of Third-Grade Fluid in Helical Screw Rheometer

2013 ◽  
Vol 2013 ◽  
pp. 1-11 ◽  
Author(s):  
M. Zeb ◽  
S. Islam ◽  
A. M. Siddiqui ◽  
T. Haroon
Keyword(s):  
Adomian Decomposition Method ◽  
Extrusion Process ◽  
Velocity Profiles ◽  
Third Grade ◽  
Pressure Gradients ◽  
Third Grade Fluid ◽  
Flow Rates ◽  
Adomian Decomposition ◽  
Grade Fluid ◽  
Analytical Expressions

The steady flow of an incompressible, third-grade fluid in helical screw rheometer (HSR) is studied by “unwrapping or flattening” the channel, lands, and the outside rotating barrel. The geometry is approximated as a shallow infinite channel, by assuming that the width of the channel is large as compared to the depth. The developed second-order nonlinear coupled differential equations are reduced to single differential equation by using a transformation. Using Adomian decomposition method, analytical expressions are calculated for the the velocity profiles and volume flow rates. The results have been discussed with the help of graphs as well. We observed that the velocity profiles are strongly dependant on non-Newtonian parameter (β~), and with the increase inβ~, the velocity profiles increase progressively, which conclude that extrusion process increases with the increase inβ~. We also observed that the increase in pressure gradients inx- andz-direction increases the net flow inside the helical screw rheometer, which increases the extrusion process. We noticed that the flow increases as the flight angle increase.

scholarly journals Second Law Analysis for Third-Grade Fluid with Variable Properties

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Samuel O. Adesanya
Keyword(s):  
Entropy Generation ◽  
Fluid Velocity ◽  
Adomian Decomposition Method ◽  
Approximate Solutions ◽  
Third Grade ◽  
Third Grade Fluid ◽  
Variable Properties ◽  
Adomian Decomposition ◽  
Second Law Analysis ◽  
Grade Fluid

This paper investigates the entropy generation in a third-grade fluid flow with variable properties through a channel. Approximate solutions to the nonlinear boundary-value problem are obtained using Adomian decomposition method (ADM). Variation of important parameters on the fluid velocity, temperature distribution, entropy generation and irreversibility ratio are presented graphically and discussed.

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.

Parallel Plate Flow of a Third-Grade Fluid and a Newtonian Fluid With Variable Viscosity

2016 ◽  
Vol 71 (7) ◽  
pp. 595-606
Author(s):  
Volkan Yıldız ◽  
Mehmet Pakdemirli ◽  
Yiğit Aksoy
Keyword(s):  
Newtonian Fluid ◽  
Parallel Plate ◽  
Numerical Solutions ◽  
Variable Viscosity ◽  
Third Grade ◽  
Third Grade Fluid ◽  
Regular Perturbation ◽  
Approximate Analytical Solutions ◽  
Grade Fluid ◽  
Perturbation Solutions

AbstractSteady-state parallel plate flow of a third-grade fluid and a Newtonian fluid with temperature-dependent viscosity is considered. Approximate analytical solutions are constructed using the newly developed perturbation-iteration algorithms. Two different perturbation-iteration algorithms are used. The velocity and temperature profiles obtained by the iteration algorithms are contrasted with the numerical solutions as well as with the regular perturbation solutions. It is found that the perturbation-iteration solutions converge better to the numerical solutions than the regular perturbation solutions, in particular when the validity criteria of the regular perturbation solution are not satisfied. The new analytical approach produces promising results in solving complex fluid problems.

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