Research Article
Year 2019,
Volume: 5 Issue: 2, 64 - 68, 30.06.2019
Abstract
References
- C. Ancey, ‘‘Flow down inclined channel as a discriminating experiment’’, Research Report 2003.
- D. Benedetto, E. Caglioti, M. Pulvirenti, ‘‘A kinetic equation for granular media’’, RAIRO Mathematical Modeling and Numerical Analysis. Vol. 31, No. 5, pp. 615-641, 1997.
- D. Benedetto, M. Pulvirenti, ‘‘On the onedomensional Boltzman equation for granular flows, Physics of Fluids, Vol. 16, No. 12, pp. 4235-4247, 2001.
- G. Bognár, I. Gombkötő, K. Hriczó, ‘‘NonNewtonian Fluid Flow down an Inclined Plane’’, Recent Advances in Fluid Mechanics, Heat & Mass Transfer, pp. 129-134, 2018.
- J. A. Akpobi, E. D. Akpobi, ‘‘A finite element analysis of the distribution velocity in viscous incompressible fluids using the Lagrange interpolation function’’, Journal of Applied Science and Environmental Management, Vol. 11, pp. 31–38, 2007.
- I. D. Erhunmwun, M. H. Oladeinde, ‘‘Analysis of flow in a concentric annulus using finite element method’’, Nigeria Journal of Technology, Vol. 35, pp. 344-348, 2016.
- J. N. Reddy, ‘‘Introduction to the Finite Element Method’’, Second edition, McGraw-Hill series in Mechanical Engineering. 1993. Ch. 3.
Determining the Velocity Distribution Profile of a Fluid in an Inclined Flat Surface Using the Finite Element Method and the Exact Differential Equation Method
Abstract
An analysis has been carried out to determine the velocity profile of a fluid on an inclined plane using the Finite Element Method (FEM). The overall results from these finite elements were finally assembled to represent the velocity profile in the entire domain of the inclined plane. The results obtained from the finite element method shows that as the velocity distribution has a parabolic profile with the maximum velocity of 1109.8748m/s at open surface of the inclined plane. The fluid due to the no slip boundary condition has 0m/s at the walls of the inclined plane. Also, it was shown that the higher the angle of inclination and fluid viscosity, the lower the velocity and also the higher the fluid density, the higher the velocity. The result obtained from the FEM when compared with the result obtained from the exact differential equation method shows a strong agreement.
Keywords
Finite Element Method Inclined Plane Incompressible Fluid Interpolation Function Weak Formulation
References
- C. Ancey, ‘‘Flow down inclined channel as a discriminating experiment’’, Research Report 2003.
- D. Benedetto, E. Caglioti, M. Pulvirenti, ‘‘A kinetic equation for granular media’’, RAIRO Mathematical Modeling and Numerical Analysis. Vol. 31, No. 5, pp. 615-641, 1997.
- D. Benedetto, M. Pulvirenti, ‘‘On the onedomensional Boltzman equation for granular flows, Physics of Fluids, Vol. 16, No. 12, pp. 4235-4247, 2001.
- G. Bognár, I. Gombkötő, K. Hriczó, ‘‘NonNewtonian Fluid Flow down an Inclined Plane’’, Recent Advances in Fluid Mechanics, Heat & Mass Transfer, pp. 129-134, 2018.
- J. A. Akpobi, E. D. Akpobi, ‘‘A finite element analysis of the distribution velocity in viscous incompressible fluids using the Lagrange interpolation function’’, Journal of Applied Science and Environmental Management, Vol. 11, pp. 31–38, 2007.
- I. D. Erhunmwun, M. H. Oladeinde, ‘‘Analysis of flow in a concentric annulus using finite element method’’, Nigeria Journal of Technology, Vol. 35, pp. 344-348, 2016.
- J. N. Reddy, ‘‘Introduction to the Finite Element Method’’, Second edition, McGraw-Hill series in Mechanical Engineering. 1993. Ch. 3.
There are 7 citations in total.
Details
| Primary Language | English |
|---|---|
| Subjects | Engineering |
| Journal Section | Makaleler |
| Authors | |
| Publication Date | June 30, 2019 |
| Acceptance Date | April 25, 2019 |
| Published in Issue | Year 2019 Volume: 5 Issue: 2 |
