Some Exact Solutions of Generalized Jeffrey Fluid Using N-Transform

Khan, Amir; Zaman, Gul; Ahmad, Saeed; Chohan, Muhammad Ikhlaq

doi:10.4236/ajcm.2017.74029

Cited by 3 publications

(1 citation statement)

References 24 publications

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“…Moreover, it is observed that the Newtonian fluids fulfilled Newton's internal friction law that is "shear stress is proportional to the viscosity of the fluid gradient" and non-Newtonian fluids dissatisfy the Newtonian law of internal friction. e leading flow equations of non-Newtonian fluids are more difficult than the Navier-Stokes equations [1][2][3]. Generally, non-Newtonian fluids are categorized into three dissimilar categories, namely, first is differential type, second is the integral type, and the third one is rate type.…”

Section: Introductionmentioning

confidence: 99%

Effects of MHD and Porosity on Jeffrey Fluid Flow with Wall Transpiration

Bajwa

Ullah

Al-Johani

et al. 2022

Mathematical Problems in Engineering

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In this research work, the velocity of Jeffrey fluid flow which is unsteady in nature, over an infinite horizontal porous plate, is considered, and also, the influence of MHD and porosity on the velocity of the fluid is investigated. The major objective of this research paper is to achieve the analytical solution for the incompressible transient flow of MHD (magneto hydrodynamic) Jeffrey fluid above an accelerating porous plate. The fluid flows above the plate at y > 0 , and the plate is infinite in the x-direction y = 0 and gives an oscillatory motion. For the occurrence of both injection and suction phenomena, porous plate is used. The governing equation of the model becomes dimensionless by using the appropriate set of nondimensional variables. With the help of Laplace transformation and perturbation methods, these nondimensional differential equations of Jeffrey fluid are solved. The effects of different parameters on velocity are studied. These parameters include ω (oscillating frequency), λ1 (ratio of relaxation and retardation time), β (Jeffrey fluid parameter), γ (wall transpiration parameter), t (time), k (porosity parameter), and Ha (magnetic parameter). We found that velocity declines as we increase the values of ratio of relaxation and retardation times, Jeffrey fluid parameter, wall transpiration parameter, and magnetic parameter. The effect of time, oscillation frequency, and porosity on velocity profile is opposite as that of other parameters. We take β < 1 , as β represents perturbed parameter. Graphs are plotted for various values of these parameters with the help of Mathcad software and talk over these graphs in detail.

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Section: Introductionmentioning

confidence: 99%

Effects of MHD and Porosity on Jeffrey Fluid Flow with Wall Transpiration

Bajwa

Ullah

Al-Johani

et al. 2022

Mathematical Problems in Engineering

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MHD fractionalized Jeffrey fluid over an accelerated slipping porous plate

Jamil

Haleem

2020

Nonlinear Engineering

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The primary target of this paper is to obtain the analytic solutions for the incompressible unsteady flow of fractionalized MHD Jeffrey fluid over an accelerating porous plate with linear slip effect is assumed between fluid and the plate. The governing equations of Jeffrey fluid are developed by fractional calculus approach. The velocity distribution and its corresponding shear stress both are obtained in terms of generalized M-function by using Laplace transform technique and considering all initial and boundary conditions. We have also discussed that obtained results of fractionalized MHD Jeffrey fluid for different cases for instance, with and without slip effects, with and without MHD and porosity effects. The influence of the different parameters affected on the flow characteristic is deliberated with the help of graphs. Finally, the analysis among different fluid models exhibits by graphical illustrations.

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Heat Absorption Effect on Magnetohydrodynamic (Mhd) Flow of Jeffery Fluid in an Infinite Vertical Plate

OMOKHUALE¹,

Dange²

2023

FJS

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The current research reveals the impact of heat absorption on unsteady MHD convective Jeffery flow of a viscous, electrically conducting and incompressible fluid is researched on. The equations governing the flow of the fluid are described as Partial Differential Equations (PDEs) and Finite Difference Method (FDM) is used to obtain numerical solutions. Numerical investigations were conducted to examine the effect of parameters in the flow of the fluid i.e. on the velocity, temperature and concentration with the aid of graphs. It is seen that, the momentum boundary layer increases as the values of heat absorption and Jeffery parameters are increased while the velocity of the fluid fall for higher values of the suction and chemical reaction parameter. Also, the temperature of the fluid rises as heat generation becomes significant and a reverse trend is seen when suction is increased while increase in heat absorption parameter causes an increase in the concentration of the fluid.

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Some Exact Solutions of Generalized Jeffrey Fluid Using N-Transform

Cited by 3 publications

References 24 publications

Effects of MHD and Porosity on Jeffrey Fluid Flow with Wall Transpiration

Effects of MHD and Porosity on Jeffrey Fluid Flow with Wall Transpiration

MHD fractionalized Jeffrey fluid over an accelerated slipping porous plate

Heat Absorption Effect on Magnetohydrodynamic (Mhd) Flow of Jeffery Fluid in an Infinite Vertical Plate

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