Abstract
The present work is a struggle to establish a mathematical appearance of the conduct of axisymmetric fluid flow in a moving cylinder confined in a porous medium. The fluid is assumed to be flowing through the annular region formed between two concentric smooth cylinders for the case when the outer cylinder is kept fixed while the inner cylinder is assumed to be moving with a constant velocity along the axial direction and is also assumed to be rotating with a constant angular velocity with reference to the centre line along the axial axis. Firstly, the conducting equations of motion are obtained in the form of a system of coupled non-linear partial differential equations with corresponding boundary conditions. The system is then transformed into a new set of coupled non-linear ordinary differential equations using a set of suitable similarity transformation. The problem is then solved using the fourth order numerical technique, the Runge-Kutta-Shooting method. The concluding results are derived for non- dimensional coupled differential equations. In the end the results are graphically presented and the behaviour of porosity parameter over the fluid flow is examined. The observed results indicated that with increasing values of the Reynolds’s numbers the non-dimensional linear and axial velocities also increases.
Highlights
From the last quarter of the previous century, the study of lubricants protecting the moving cylinder in the automobiles as well as in industrial machines had become a research target
From infinite circular cylinder heat transfer and fluid glide around the surface was studied by Khan et al [5]
Covering Yawed circular cylinders by real fluid flow was presented in mathematical relation considering crosswise and piecewise velocity by Chiu and Lien hard [7]
Summary
From the last quarter of the previous century, the study of lubricants protecting the moving cylinder in the automobiles as well as in industrial machines had become a research target. The petro chemical liquid is area of interest of scientists for a long period to get new substances but the nature of different solid particles present in the fluids changes the results in targeted areas. The stable state viscous glide as well as thermal conductivity of a fluid with density variation connected to temperature change, concludes the result of the exact solution of the Navier–Stokes velocity and energy equation extracted in the case, here temperature of disc or its associated wall heat is treated as fixed. From infinite circular cylinder heat transfer and fluid glide around the surface was studied by Khan et al [5]. An analytic approach was performed for heat transfer and fluid flow along elliptical cylinders by Khan et al [6]. Covering Yawed circular cylinders by real fluid flow was presented in mathematical relation considering crosswise and piecewise velocity by Chiu and Lien hard [7]. International Journal of Systems Science and Applied Mathematics 2020; 5(3): 32-35
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