Year 2019, Volume 5, Issue 2, Pages 64 - 68 2019-06-30

Determining the Velocity Distribution Profile of a Fluid in an Inclined Flat Surface Using the Finite Element Method and the Exact Differential Equation Method

Iredia Davis Erhunmwun [1] , Collins Oside [2]

21 36

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.
Finite Element Method, Inclined Plane, Incompressible Fluid, Interpolation Function, Weak Formulation
  • 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.
Primary Language en
Subjects Engineering
Journal Section Makaleler
Authors

Author: Iredia Davis Erhunmwun (Primary Author)
Institution: University of Benin
Country: Nigeria


Author: Collins Oside
Institution: National Institute of Construction Technology, Uromi
Country: Nigeria


Dates

Publication Date: June 30, 2019

Bibtex @research article { ijet448502, journal = {International Journal of Engineering Technologies IJET}, issn = {2149-0104}, eissn = {2149-5262}, address = {İstanbul Gelisim University}, year = {2019}, volume = {5}, pages = {64 - 68}, doi = {}, title = {Determining the Velocity Distribution Profile of a Fluid in an Inclined Flat Surface Using the Finite Element Method and the Exact Differential Equation Method}, key = {cite}, author = {Erhunmwun, Iredia Davis and Oside, Collins} }
APA Erhunmwun, I , 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. Retrieved from http://dergipark.org.tr/ijet/issue/45163/448502
MLA Erhunmwun, I , 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". International Journal of Engineering Technologies IJET 5 (2019): 64-68 <http://dergipark.org.tr/ijet/issue/45163/448502>
Chicago Erhunmwun, I , 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". International Journal of Engineering Technologies IJET 5 (2019): 64-68
RIS TY - JOUR T1 - Determining the Velocity Distribution Profile of a Fluid in an Inclined Flat Surface Using the Finite Element Method and the Exact Differential Equation Method AU - Iredia Davis Erhunmwun , Collins Oside Y1 - 2019 PY - 2019 N1 - DO - T2 - International Journal of Engineering Technologies IJET JF - Journal JO - JOR SP - 64 EP - 68 VL - 5 IS - 2 SN - 2149-0104-2149-5262 M3 - UR - Y2 - 2019 ER -
EndNote %0 International Journal of Engineering Technologies IJET Determining the Velocity Distribution Profile of a Fluid in an Inclined Flat Surface Using the Finite Element Method and the Exact Differential Equation Method %A Iredia Davis Erhunmwun , Collins Oside %T Determining the Velocity Distribution Profile of a Fluid in an Inclined Flat Surface Using the Finite Element Method and the Exact Differential Equation Method %D 2019 %J International Journal of Engineering Technologies IJET %P 2149-0104-2149-5262 %V 5 %N 2 %R %U
ISNAD Erhunmwun, Iredia 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.
AMA Erhunmwun I , 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): 64-68.
Vancouver Erhunmwun I , 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. International Journal of Engineering Technologies IJET. 2019; 5(2): 68-64.