Numerical Simulation for Flow Through Conducting Metal and Metallic Oxide Nanofluids

2020 ◽  
Vol 9 (4) ◽  
pp. 354-361
Author(s):  
P. K. Pattnaik ◽  
S. R. Mishra ◽  
Ram Prakash Sharma
Keyword(s):  
Metal Oxide Nanoparticles ◽  
Three Dimensional ◽  
Adomian Decomposition Method ◽  
Metallic Oxide ◽  
Electrically Conducting ◽  
Number Comparison ◽  
Adomian Decomposition ◽  
Flow Through ◽  
Analytical Result ◽  
Exponentially Stretching

Present paper aims to analyze three-dimensional (3D) motion of an electrically conducting nanofluid past an exponentially stretching sheet. Both metal and metal oxide nanoparticles (such as Cu, Al2O3, TiO2) in the base fluid (water) are examined. Nonlinear ordinary differential systems are obtained by suitable transformations. The crux of the analysis is the development of an estimated analytical result obtained by employing the “Adomian Decomposition Method” (ADM), an approximate analytical method. Momentum and energy descriptions with prescribed boundary conditions are employed. The velocity components and temperature are analyzed. Tabulated values are organized aimed at the outcomes of skin-friction coefficients and Nusselt number. Comparison with past limiting results is shown. Finally, the outstanding outcomes of the present result are; the velocity profile with the inclusion of particle concentration and magnetic parameter decelerate significantly and Al2O3 nanoparticles are favorable for the enhancement in the rate of heat transfer.

MHD Natural Convection Slip Flow through Vertical Porous Plates with Time-Periodic Boundary Conditions

2018 ◽  
Vol 388 ◽  
pp. 135-145
Author(s):  
Samuel Olumide Adesanya ◽  
L. Rundora ◽  
R.S. Lebelo ◽  
K.C. Moloi
Keyword(s):  
Convective Flow ◽  
Decomposition Method ◽  
Hartmann Number ◽  
Slip Flow ◽  
Adomian Decomposition Method ◽  
Periodic Boundary Conditions ◽  
Temperature Profiles ◽  
Adomian Decomposition ◽  
Flow Through ◽  
Time Periodic

In this work, the convective flow of heat generating hydromagnetic fluid through a leaky channel is investigated. Due to channel porosity, the asymmetrical slip conditions are imposed on both walls. The coupled dimensionless partial differential equations are reduced to a system of second-order boundary-value problems based on some flow assumptions and solved by Adomian decomposition method (ADM). Variations in velocity and temperature profiles are presented and discussed in detail. The result of the analysis revealed that increasing Hartmann number decreases the flow velocity while the slip parameters enhance the flow.

scholarly journals Measuring the Pollutants in a System of Three Interconnecting Lakes by the Semianalytical Method

2021 ◽  
Vol 2021 ◽  
pp. 1-16
Author(s):  
Indranil Ghosh ◽  
M. S. H. Chowdhury ◽  
Suazlan Mt Aznam ◽  
M. M. Rashid
Keyword(s):  
Differential Equations ◽  
Three Dimensional ◽  
Adomian Decomposition Method ◽  
Dimensional System ◽  
Physical Problems ◽  
Runge Kutta Method ◽  
Adomian Decomposition ◽  
Sinusoidal Input ◽  
Semianalytical Method ◽  
Lagrange’S Multipliers

Pollution has become an intense danger to our environment. The lake pollution model is formulated into the three-dimensional system of differential equations with three instances of input. In the present study, the new iterative method (NIM) was applied to the lake pollution model with three cases called impulse input, step input, and sinusoidal input for a longer time span. The main feature of the NIM is that the procedure is very simple, and it does not need to calculate any special type of polynomial or multipliers such as Adomian polynomials and Lagrange’s multipliers. Comparisons with the Adomian decomposition method (ADM) and the well-known purely numerical fourth-order Runge-Kutta method (RK4) suggest that the NIM is a powerful alternative for differential equations providing more realistic series solutions that converge very rapidly in real physical problems.

Adomian decomposition method to magnetohydrodynamics natural convection heat generating/absorbing slip flow through a porous medium

2019 ◽  
Vol 15 (3) ◽  
pp. 673-684 ◽  
Author(s):  
Abiodun O. Ajibade ◽  
Jeremiah Jerry Gambo
Keyword(s):  
Porous Medium ◽  
Natural Convection ◽  
Decomposition Method ◽  
Slip Flow ◽  
Adomian Decomposition Method ◽  
Convection Heat ◽  
Content Type ◽  
Adomian Decomposition ◽  
Flow Through ◽  
Effect Parameter

Purpose The purpose of this paper is to analyze magnetohydrodynamics fully developed natural convection heat-generating/absorbing slip flow through a porous medium. Adomian decomposition method was applied to find the solutions to the problem. Design/methodology/approach In this study, Adomian decomposition method was used. Findings Results show that heat generation parameter enhanced the temperature and velocity of the fluid in the annulus. Moreover, slip effect parameter increases the velocity of the fluid. Originality/value Originality is in the application of Adomian decomposition method which allowed the slip at interface.

scholarly journals Mathematical Analysis of a Reactive Viscous Flow through a Channel Filled with a Porous Medium

2016 ◽  
Vol 2016 ◽  
pp. 1-8 ◽  
Author(s):  
Samuel O. Adesanya ◽  
J. A. Falade ◽  
J. C. Ukaegbu ◽  
K. S. Adekeye
Keyword(s):  
Porous Medium ◽  
Decomposition Method ◽  
Adomian Decomposition Method ◽  
Approximate Solutions ◽  
Temperature Fields ◽  
Bejan Number ◽  
Adomian Decomposition ◽  
Flow Through ◽  
Velocity And Temperature Fields ◽  
Fluid Parameters

An investigation has been carried out to study entropy generation in a viscous, incompressible, and reactive fluid flowing steadily through a channel with porous materials. Approximate solutions for both velocity and temperature fields are obtained by using a rapidly convergent Adomian decomposition method (ADM). These solutions are then used to determine the heat irreversibility and Bejan number of the problem. Variations of other important fluid parameters are conducted, presented graphically, and discussed.

scholarly journals Permeability impact on electromagnetohydrodynamic flow through corrugated walls of microchannel with variable viscosity

2020 ◽  
Vol 12 (7) ◽  
pp. 168781402094433 ◽  
Author(s):  
Madhia Rashid ◽  
Sohail Nadeem ◽  
Iqra Shahzadi
Keyword(s):  
Phase Difference ◽  
Hartmann Number ◽  
Variable Viscosity ◽  
Perturbation Technique ◽  
Three Dimensional ◽  
Velocity Slip ◽  
Temperature Profiles ◽  
Governing Equations ◽  
Electrically Conducting ◽  
Flow Through

This investigation based on electromagnetohydrodynamic flow in microchannels through lightly corrugated walls effects is reported in the presence of variable liquid properties. In microparallel plates, we consider incompressible and electrically conducting viscous fluid. With small amplitudes, the wall corrugations are described by periodic sin waves. The governing equations are rendered dimensionless and solved with the help of the perturbation technique. The analytical solutions for velocity are obtained and analyzed graphically. A connection between flow rate and roughness is acquired by perturbation solutions of the stream function. By utilizing numerical computations, we analyzed the corrugation consequences on the velocity for electromagnetohydrodynamic flow. We graphically clarified the velocity and temperature profiles and their dependencies on all parameters. The three-dimensional velocity and contour distributions shown that the wall roughness can cause changes in the velocity distribution. For in phase the phase difference among the two corrugated walls is equals to 0°, and for out of phase the phase difference is equal to 180° between the two walls. The wave phenomenon of the flow shape becomes obvious with the expansion of the corrugation. The electromagnetohydrodynamic velocities first grow and then reduce. The electromagnetohydrodynamic velocity increases for Reynolds number, Hartmann number, and Darcy parameter. Velocity profile decreases for variable viscosity, velocity slip parameter.

Modelling of Imbibition Phenomena in Fluid Flow through Heterogeneous Inclined Porous Media with different porous materials

2017 ◽  
Vol 6 (4) ◽  
Author(s):  
Hardik S. Patel ◽  
Ramakanta Meher
Keyword(s):  
Porous Media ◽  
Porous Materials ◽  
Oil Recovery ◽  
Recovery Rate ◽  
Adomian Decomposition Method ◽  
Recovery Process ◽  
Fine Sand ◽  
Heterogeneous Porous Media ◽  
Adomian Decomposition ◽  
Flow Through

AbstractIn this paper, the counter - current imbibition phenomenon is discussed in an inclined heterogeneous porous media with the consideration of two types of porous materials like volcanic sand and fine sand. Adomian decomposition method is applied to find the saturation of wetting phase and the recovery rate of the reservoir. Finally, a simulation result is developed to study the saturation of wetting phase and the optimum recovery rate of reservoir with the choices of some interesting parametric values. This problem has a great importance in the field of oil recovery process.

scholarly journals Effect of couple stresses on hydromagnetic Eyring-Powell fluid flow through a porous channel

2015 ◽  
Vol 42 (2) ◽  
pp. 135-150 ◽  
Author(s):  
Samuel Adesanya ◽  
John Falade ◽  
Randolph Rach
Keyword(s):  
Fluid Flow ◽  
Adomian Decomposition Method ◽  
Approximate Solutions ◽  
Temperature Fields ◽  
Porous Channel ◽  
Fluid Interface ◽  
Couple Stresses ◽  
Flow Parameters ◽  
Adomian Decomposition ◽  
Flow Through

In this paper, the flow of hydromagnetic non-Newtonian fluid under couple stresses through a porous channel is investigated using the Eyring-Powell model. The fluid is driven by an axial constant pressure gradient. Approximate solutions of the nonlinear dimensionless equations governing the fluid flow are obtained using a new modification of Adomian decomposition method (ADM). The effects of the variation of various flow parameters on both the velocity and temperature fields are deduced and discussed including surface-fluid interface friction and rate of heat transfer.

scholarly journals Effect of Heterogeneity on Imbibition Phenomena in Fluid Flow through Porous Media with Different Porous Materials

2019 ◽  
Vol 8 (1) ◽  
pp. 46-55 ◽  
Author(s):  
Hardik S. Patel ◽  
Ramakanta Meher
Keyword(s):  
Porous Media ◽  
Porous Materials ◽  
Recovery Rate ◽  
Adomian Decomposition Method ◽  
Fine Sand ◽  
Heterogeneous Porous Media ◽  
Adomian Decomposition ◽  
Flow Through ◽  
Counter Current ◽  
Optimum Recovery

Abstract In this paper, the counter – current imbibition phenomena in a heterogeneous porous media is studied with the consideration of two types of porous materials like volcanic and fine sand and Adomian decomposition method is applied to find the saturation of wetting phase and the recovery rate of the reservoir. A simulation result is developed here to study the effect of heterogeneity, capillarity and relative permeability on saturation rate and to obtain an optimum recovery rate of the reservoir with the choices of some interesting parametric value.

Three-Dimensional Flow Arising in the Long Porous Slider: An Analytic Solution

2011 ◽  
Vol 66 (8-9) ◽  
pp. 507-511 ◽  
Author(s):  
Yasir Khan ◽  
Qingbiao Wu ◽  
Naeem Faraz ◽  
Ahmet Yildirim ◽  
Syed Tauseef Mohyud-Dind
Keyword(s):  
Analytic Solution ◽  
Three Dimensional ◽  
Adomian Decomposition Method ◽  
Nonlinear Ordinary Differential Equations ◽  
Three Dimensional Flow ◽  
Validity Of Results ◽  
Dimensionless Velocity ◽  
Similarity Transformations ◽  
Adomian Decomposition ◽  
Good Agreement

Abstract In this work, the long porous slider problem where the fluid is injected through the porous bottom is studied. The similarity transformations reduce the equation of motion to a set of nonlinear ordinary differential equations which are solved using the Adomian decomposition method (ADM). The influence of the Reynolds number on the dimensionless velocity field has been discussed graphically. Finally, the validity of results is verified by comparing with the numerical method and existing numerical results. A very good agreement was found between approximate and numerical solution, which proves that ADM is very efficient and accurate.

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