Influence of Dynamics Viscosity on the Water Base Graphene Oxide–Ethylene Glycol/Graphene Oxide–Water Nanofluid Flow Over a Stretching Cylinder

2019 ◽  
Vol 8 (8) ◽  
pp. 1661-1667
Author(s):  
Ali Rehman ◽  
Zabidin Salleh ◽  
Taza Gul
Keyword(s):  
Differential Equation ◽  
Graphene Oxide ◽  
Ethylene Glycol ◽  
Order Approximation ◽  
Nonlinear Differential Equations ◽  
Physical Parameters ◽  
Stretching Cylinder ◽  
Homotopy Analysis ◽  
Water Base ◽  
The Impact

This research paper presents the impact of dynamics viscosity of water base GO–EG (graphene oxide–ethylene glycol)/GO–W (graphene oxide–water) nanofluid over a stretching cylinder with non-porous medium. The impact of different parameter for both velocity and temperature profile are displayed and discussed graphically. The similarity transformation are used to convert the partial differential equation to nonlinear ordinary differential equation. The solution of the problem is obtained using the optimal homotopy analysis method (OHAM). (Liao, S. J., 2010. An optimal homotopy-analysis approach for strongly nonlinear differential equations. Communications in Nonlinear Science and Numerical Simulation, 15, pp.2003–2016) used this method for the solution of nonlinear problem and show that this method is quickly convergent to the approximate solution. This method gives us series solution in the form of function, and all the physical parameters of the problem involved in this method. The stability of the problems is also obtained up to the 30th order approximation using the BVPh 2.0 package. The outputs are displayed graphically and discussed. The effects of various parameters on the skin friction coefficient and Nusselt number coefficient of base GO–EG/GO–Ware displayed and discussed.

The Impact of Viscous Dissipation on the Thin Film Unsteady Flow of GO-EG/GO-W Nanofluids

Mathematics ◽  
2019 ◽  
Vol 7 (7) ◽  
pp. 653 ◽  
Author(s):  
Ali Rehman ◽  
Zabidin Salleh ◽  
Taza Gul ◽  
Zafar Zaheer
Keyword(s):  
Heat Transfer ◽  
Graphene Oxide ◽  
Ethylene Glycol ◽  
Unsteady Flow ◽  
Heat Transfer Enhancement ◽  
Nonlinear Differential Equations ◽  
Physical Parameters ◽  
Transfer Enhancement ◽  
Flexible Surface ◽  
The Impact

The unsteady flow of nanoliquid film over a flexible surface has been inspected. Water and ethylene glycol are used as the base liquids for the graphene oxide platelets. The comparison of two sorts of nanoliquids has been used for heat transfer enhancement applications. The thickness of the nanoliquid film is kept as a variable. The governing equations for the flow problem have been altered into the set of nonlinear differential equations. The BVP 2.0 package has been used for the solution of the problem. The sum of the square residual error has been calculated up to the 10th order approximations. It has been observed that the graphene oxide ethylene glycol based nanofluid (GO-EG) is more efficient for heat transfer enhancement as compared to the graphene oxide water based nanofluid (GO-W). The impact of the physical parameters has been plotted and discussed.

scholarly journals Impact of the Marangoni and thermal radiation convection on the graphene-oxide-water-based and ethylene-glycol-based nanofluids

2019 ◽  
Vol 11 (6) ◽  
pp. 168781401985677 ◽  
Author(s):  
Taza Gul ◽  
Waqas Noman ◽  
Muhammad Sohail ◽  
Muhammad Altaf Khan
Keyword(s):  
Graphene Oxide ◽  
Ethylene Glycol ◽  
Thermal Radiation ◽  
Thermal Efficiency ◽  
Solid Particles ◽  
Analysis Method ◽  
Optimal Homotopy Analysis Method ◽  
Water Based ◽  
Homotopy Analysis ◽  
The Impact

The low thermal efficiency of the base liquids is the main issue among the researchers and to resolve this issue, scientists use the small-sized (1–100 nm) metal solid particles in the base liquids to increase the thermal efficiency of the base solvents. In the recent article, a theoretical study has been carried out for the thermal application functioning of graphene-oxide-water-based and graphene-oxide-ethylene-glycol-based nanofluids under the impact of the Marangoni convection. The nanofluid flow is also subjected to thermal radiation and magnetic field. The problem has been solved through optimal homotopy analysis method. The impacts of the embedded parameters over the velocity and temperature pitches have been analysed. Due to strong thermophysical properties of graphene-oxide-ethylene-glycol-based nanofluid, it is observed that the heat transfer rate of this sort of nanofluid is more efficient as compared to the graphene-oxide-water-based nanofluids. All the obtained outputs have been presented graphically and numerically.

scholarly journals Integer and Non-Integer Order Study of the GO-W/GO-EG Nanofluids Flow by Means of Marangoni Convection

Symmetry ◽  
2019 ◽  
Vol 11 (5) ◽  
pp. 640 ◽  
Author(s):  
Taza Gul ◽  
Haris Anwar ◽  
Muhammad Altaf Khan ◽  
Ilyas Khan ◽  
Poom Kumam
Keyword(s):  
Differential Equation ◽  
Graphene Oxide ◽  
Ethylene Glycol ◽  
Fractional Order ◽  
Marangoni Convection ◽  
Traditional Approach ◽  
Stable Dispersion ◽  
Fractional Differential ◽  
Predictor Corrector ◽  
The Impact

Characteristically, most fluids are not linear in their natural deeds and therefore fractional order models are very appropriate to handle these kinds of marvels. In this article, we studied the base solvents of water and ethylene glycol for the stable dispersion of graphene oxide to prepare graphene oxide-water (GO-W) and graphene oxide-ethylene glycol (GO-EG) nanofluids. The stable dispersion of the graphene oxide in the water and ethylene glycol was taken from the experimental results. The combined efforts of the classical and fractional order models were imposed and compared under the effect of the Marangoni convection. The numerical method for the non-integer derivative that was used in this research is known as a predictor corrector technique of the Adams–Bashforth–Moulton method (Fractional Differential Equation-12) or shortly (FDE-12). The impact of the modeled parameters were analyzed and compared for both GO-W and GO-EG nanofluids. The diverse effects of the parameters were observed through a fractional model rather than the traditional approach. Furthermore, it was observed that GO-EG nanofluids are more efficient due to their high thermal properties compared with GO-W nanofluids.

scholarly journals The natural convective graphene oxide nanofluid flow in an upright squeezing channel

2019 ◽  
Vol 23 (Suppl. 6) ◽  
pp. 1981-1989 ◽  
Author(s):  
Malik Ullah ◽  
Taza Gul ◽  
Ali Alshomrani ◽  
Dumitru Baleanu
Keyword(s):  
Graphene Oxide ◽  
Temperature Fields ◽  
Physical Parameters ◽  
Parallel Plates ◽  
Analysis Method ◽  
Optimal Homotopy Analysis Method ◽  
Physical Constraints ◽  
Homotopy Analysis ◽  
The Impact ◽  
Momentum Boundary Layer

The 3-D flow of water based graphene oxide (GO-W) and ethylene glycol based graphene oxide (GO-EG) nanofluids amongst the binary upright and parallel plates is considered. The unsteady movement of the nanofluid is associated with the porous medium and the unbroken magnetic field is executed in the perpendicular track of the flow field. The basic governing equations have been altered using the Von Karman transformation, including the natural-convection in the downward direction. The solution for the modeled problem has been attained by means of optimal homotopy analysis method (OHAM). The influence of the physical parameters on the momentum boundary-layer, pressure and temperature fields is mainly focused. Moreover, the comparison of the GO-W and GO-EG nanofluids under the impact of physical constraints have been analyzed graphically and numerically. The imperative physical constraints of the drag force and heat transfer rate have been computed and conferred. The consequences have been validated using the error analysis and the obtained outcomes have been shown and discussed.

scholarly journals Homotopy Analysis of Carreau Fluid Flow Over a Stretching Cylinder

2021 ◽  
Vol 88 (2) ◽  
pp. 80-92
Author(s):  
Lim Yeou Jiann ◽  
Sharidan Shafie ◽  
Ahmad Qushairi Mohamad ◽  
Noraihan Afiqah Rawi
Keyword(s):  
Nonlinear Differential Equations ◽  
Velocity Profiles ◽  
Weissenberg Number ◽  
Stretching Cylinder ◽  
Series Solutions ◽  
Carreau Fluid ◽  
Keller Box Method ◽  
Highly Nonlinear ◽  
Homotopy Analysis ◽  
Curvature Parameter

Carreau fluid flows past a stretching cylinder is elucidated in the present study. The transformed self-similarity and dimensionless boundary layer equations are solved by using the Homotopy analysis method. A convergence study of the method is illustrated explicitly. Series solutions of the highly nonlinear differential equations are computed and it is very efficient in demonstrating the characteristic of the Carreau fluid. Validation of the series solutions is achieved via comparing with earlier published results. Those results are obtained by using the Keller-Box method. The effects of the Weissenberg number and curvature parameter on the velocity profiles are discussed by graphs and tabular. The velocity curves have shown different behavior in and for an increase of the Weissenberg number. Further, the curvature parameter K does increase the velocity profiles.

SCATTERING OF A THIN LAYER OVER A NONLINEAR RADIALLY EXTENDING SURFACE WITH MAGNETO HYDRODYNAMIC AND THERMAL DISSIPATION

2019 ◽  
Vol 26 (01) ◽  
pp. 1850123 ◽  
Author(s):  
TAZA GUL
Keyword(s):  
Temperature Field ◽  
Thin Layer ◽  
Nonlinear Differential Equations ◽  
Thermal Dissipation ◽  
Flow Equations ◽  
Dissipation Term ◽  
Homotopy Analysis ◽  
Number Formula ◽  
Optimal Approach ◽  
The Impact

The recent research is allied with the analysis of a thin layer, spreading over the nonlinear surface of a radially extended sheet. The temperature field has been taken with the accumulation of dissipation term. The similarity variables have been used to transform the basic flow equations into a set of nonlinear differential equations. The thickness of the spreading phenomenon has been taken as a variable. The approximate outcomes of the problem have been achieved using the optimal approach of the homotopy analysis method (HAM). The convergence of the HAM has been computed with numerical method. The impact of the variable thickness parameter [Formula: see text], generalized magnetic parameter [Formula: see text], Eckert number [Formula: see text] and [Formula: see text] on the spreading pattern and temperature field has been calculated and discussed. The attention has been paid to the important physical quantities of interest like the skin friction and Nusselt number under the effect of various embedded parameters.

scholarly journals Heat Transfer of Thin Film Flow Over an Unsteady Stretching Sheet with Dynamic Viscosity

2021 ◽  
Vol 81 (2) ◽  
pp. 67-81
Author(s):  
Ali R ehman ◽  
Zabidin Salleh ◽  
Taza Gul
Keyword(s):  
Differential Equation ◽  
Dynamic Viscosity ◽  
Stretching Sheet ◽  
Volume Fraction ◽  
Skin Friction Coefficient ◽  
Nonlinear Ordinary Differential Equation ◽  
Thin Film Flow ◽  
Optimal Homotopy Analysis Method ◽  
Homotopy Analysis ◽  
The Impact

This research paper explains the impact of dynamics viscosity of water base GO-EG/GO-W nanofluid over a stretching sheet. The impact of different parameter for velocity and temperature are displayed and discussed. The similarity transformation is used to convert the partial differential equation to nonlinear ordinary differential equation. The solution of the problem is obtained by using the optimal homotopy analysis method (OHAM). The BVPh 2.0 package function of Mathematica is used to obtain the numerical results. The result of important parameter such as magnetic parameter, Prandtl number, Eckert number, dynamic viscosity, nanoparticles volume fraction and unsteady parameter for both velocity and temperature profiles are plotted and discussed. The BVPh 2.0 package is used to obtain the convergences of the problem up to 25 iteration. The skin friction coefficient and Nusselt number is explained in table form.

scholarly journals Effect of the Marangoni Convection in the Unsteady Thin Film Spray of CNT Nanofluids

Processes ◽  
2019 ◽  
Vol 7 (6) ◽  
pp. 392 ◽  
Author(s):  
Ali Rehman ◽  
Taza Gul ◽  
Zabidin Salleh ◽  
Safyan Mukhtar ◽  
Fawad Hussain ◽  
...  
Keyword(s):  
Carbon Nanotubes ◽  
Marangoni Convection ◽  
Single Wall Carbon Nanotubes ◽  
Physical Parameters ◽  
Fluid Films ◽  
Optimal Homotopy Analysis Method ◽  
Silicon Melt ◽  
Homotopy Analysis ◽  
Velocity Pressure ◽  
The Impact

The gradient of surface temperature is known as Marangoni convection and plays an important role in silicon melt, spray, atomic reactors, and thin fluid films. Marangoni convection has been considered in the liquid film spray of carbon nanotube (CNT) nanofluid over the unsteady extending surface of a cylinder. The two kinds of CNTs, single-wall carbon nanotubes (SWCNTs) and multiple-wall carbon nanotubes (MWCNTs), formulated as water-based nanofluids have been used for thermal spray analysis. The thickness of the nanofluid film was kept variable for a stable spray rate and pressure distribution. The transformed equations of the flow problem have been solved using the optimal homotopy analysis method (OHAM). The obtained results have been validated through the sum of the total residual errors numerically and graphically for both types of nanofluids. The impact of the physical parameters versus velocity, pressure, and temperature pitches under the influence of the Marangoni convection have been obtained and discussed. The obtained results are validated using the comparison of OHAM and the (ND-solve) method.

Physical aspects of magnetized Jeffrey nanomaterial flow with irreversibility analysis

2021 ◽  
Author(s):  
Fazal Haq ◽  
Muhammad Ijaz Khan ◽  
Sami Ullah Khan ◽  
Khadijah M. Abualnaja ◽  
M. A. El-Shorbagy
Keyword(s):  
Differential Equations ◽  
Entropy Generation ◽  
Nonlinear Differential Equations ◽  
Transportation Systems ◽  
Physical Parameters ◽  
Bejan Number ◽  
Convective Boundary ◽  
Homotopy Analysis ◽  
Permeability Parameter ◽  
Thermal Features

Abstract This analysis presents the applications of entropy generation phenomenon in incompressible flow of Jeffrey nanofluid in presence of distinct thermal features. The novel aspects of various features like Joule heating, porous medium, dissipation features and radiative mechanism is addressed. In order to improve the thermal transportation systems based on nanomaterials, the convective boundary conditions are introduced. The thermal viscoelastic nanofluid model is expressed in term of differential equations. The problem is presented via nonlinear differential equations for which analytical expressions are obtained by using homotopy analysis method(HAM). The accuracy of solution is ensured. The effective outcomes of all physical parameters associated with the flow model are carefully examined and underlined through various curves. The observations summarized from current analysis reveal that presence of permeability parameter offers resistance to the flow. A monotonic decrement in local Nusselt number is noted with Hartmann number and Prandtl number. Moreover, entropy generation and Bejan number increases with radiation parameter and fluid parameter.

scholarly journals Swirling Flow in a Permeable Tube at Slowly Expanding and Contracting Wall

2017 ◽  
Vol 2017 ◽  
pp. 1-8 ◽  
Author(s):  
Sufian Munawar
Keyword(s):  
Swirling Flow ◽  
Nonlinear Differential Equations ◽  
Flow Characteristics ◽  
Internal Boundary Layer ◽  
Elastic Tube ◽  
Internal Boundary ◽  
Physical Parameters ◽  
Similarity Transformations ◽  
Layer Flow ◽  
The Impact

The swirling flow inside a circular elastic tube with expanding and contracting permeable wall in the presence of a uniform magnetic field is studied analytically. The tube is also assumed to be rotating around its axis with an angular velocity. The governing equations for this multidimensional flow are reduced to nonlinear differential equations with similarity transformations. An analytic series solution is obtained by homotopy analysis method (HAM). The effects of physical parameters on various flow characteristics, such as the velocity, skin friction, and pressure variation, have been analysed briefly. The impact of surface expansion/contraction and rotation has been investigated on the internal boundary-layer flow inside the tube of uniform cross-section.

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