Abstract
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.
Highlights
It is scrutinized since the past limited eras that several scholars are far fascinated in non-Newtonian fluids. e clarification behind such curiosity in non-Newtonian fluid is because of its wide-ranging scope in many fields of life
It is perceived that a single differential equation is described in the models of Newtonian fluid flows, but in the case of non-Newtonian fluid models, it is not so easy to describe the flow of the model with one and only constitutive differential equation
It is perceived that the velocity profile declines as the values of Jeffrey fluid parameter increases. e reason behind the decrease in velocity profile is that, as we increase the values of Jaffrey fluid parameter, the boundary layer momentum thickness will rise
Summary
It is scrutinized since the past limited eras that several scholars are far fascinated in non-Newtonian fluids. e clarification behind such curiosity in non-Newtonian fluid is because of its wide-ranging scope in many fields of life. We study the MHD Jeffrey fluid model along with the porosity parameter because it is verified that, for practical determination, it is very beneficial in sciences and engineering fields It is presented in countless fields such as electrochemistry finance, electromagnetism, biochemistry, and signal process, and the electrical conducting fluid flow is the vital application of magnetic field; MHD effect is used to deal with the dynamics of fluids which are electrically conducted. E main objective of this research work is to observe the behavior of velocity of Jeffrey fluid’s transient flow under the influence of different embedded parameters along with MHD and porosity effects For this purpose, Jeffrey fluid flow is observed over an infinite accelerated plate which is taken to be porous. To check the effect of different parameters on velocity we plot graphs by using Mathcad software, and it is observed how velocity distribution increases or decreases by increasing or decreasing the values of these parameters
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