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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

Year 2019, Volume: 5 Issue: 2, 64 - 68, 30.06.2019

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.

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

İredia Davis Erhunmwun

Collins Oside This is me

Publication Date June 30, 2019
Acceptance Date April 25, 2019
Published in Issue Year 2019 Volume: 5 Issue: 2

Cite

APA Erhunmwun, İ. D., & Oside, C. (2019). Determining the Velocity Distribution Profile of a Fluid in an Inclined Flat Surface Using the Finite Element Method and the Exact Differential Equation Method. International Journal of Engineering Technologies IJET, 5(2), 64-68.
AMA Erhunmwun İD, Oside C. Determining the Velocity Distribution Profile of a Fluid in an Inclined Flat Surface Using the Finite Element Method and the Exact Differential Equation Method. IJET. June 2019;5(2):64-68.
Chicago Erhunmwun, İredia Davis, and Collins Oside. “Determining the Velocity Distribution Profile of a Fluid in an Inclined Flat Surface Using the Finite Element Method and the Exact Differential Equation Method”. International Journal of Engineering Technologies IJET 5, no. 2 (June 2019): 64-68.
EndNote Erhunmwun İD, Oside C (June 1, 2019) Determining the Velocity Distribution Profile of a Fluid in an Inclined Flat Surface Using the Finite Element Method and the Exact Differential Equation Method. International Journal of Engineering Technologies IJET 5 2 64–68.
IEEE İ. D. Erhunmwun and C. Oside, “Determining the Velocity Distribution Profile of a Fluid in an Inclined Flat Surface Using the Finite Element Method and the Exact Differential Equation Method”, IJET, vol. 5, no. 2, pp. 64–68, 2019.
ISNAD Erhunmwun, İredia Davis - Oside, Collins. “Determining the Velocity Distribution Profile of a Fluid in an Inclined Flat Surface Using the Finite Element Method and the Exact Differential Equation Method”. International Journal of Engineering Technologies IJET 5/2 (June 2019), 64-68.
JAMA Erhunmwun İD, Oside C. Determining the Velocity Distribution Profile of a Fluid in an Inclined Flat Surface Using the Finite Element Method and the Exact Differential Equation Method. IJET. 2019;5:64–68.
MLA Erhunmwun, İredia Davis and Collins Oside. “Determining the Velocity Distribution Profile of a Fluid in an Inclined Flat Surface Using the Finite Element Method and the Exact Differential Equation Method”. International Journal of Engineering Technologies IJET, vol. 5, no. 2, 2019, pp. 64-68.
Vancouver Erhunmwun İD, Oside C. Determining the Velocity Distribution Profile of a Fluid in an Inclined Flat Surface Using the Finite Element Method and the Exact Differential Equation Method. IJET. 2019;5(2):64-8.

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