Abstract
Exact solution of an incompressible fluid of second order type by causing disturbances in the liquid which is initially at rest due to bottom oscillating sinusoid ally has been obtained in this paper. The results presented are in terms of non-dimensional elastic-viscosity parameter (β) which depends on the non-Newtonian coefficient and the frequency of excitation (σ) of the external disturbance while considering the magnetic parameter (m) and porosity (k) of the medium into account. The flow parameters are found to be identical with that of Newtonian case as β →0 , m→0 and k→∞ .
Highlights
The study of flow past porous boundaries has several important applications in the fields of science, engineering, technology, bio physics, and astrophysics and space dynamics
The flow through porous media occurs in the ground-water hydrology, irrigation, drainage problems and in absorption and filtration processes in chemical engineering
The movement of trace pollutants in water systems can be studied with the knowledge of flow through porous media
Summary
The study of flow past porous boundaries has several important applications in the fields of science, engineering, technology, bio physics, and astrophysics and space dynamics. The presence of elastico viscous nature of the fluid and the presence of magnetic field causes drastic effects in evaluating the characteristic features of the fluid flow This motivated the study and analysis of the problem in greater detail. Kulkarni [21] had examined the problem of unsteady MHD flow of elastico – viscous incompressible fluid through a porous media between two parallel plates under the influence of magnetic field. The aim of the present paper is to study a class of exact solutions for the flow of incompressible electrically conducting elastic-viscous fluid of second order fluid by taking into account the magnetic field and porosity factor of the bounding surfaces and compare the results with those in the Newtonian case. It is noticed that the flow properties are identical with those in the Newtonian case β → 0 , k → ∞ and m → 0
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