Numerical Simulation of Laminar Boundary Layer Flow Over a Horizontal Flat Plate in External Incompressible Viscous Fluid

Authors

  • Ali Belhocine Department of Mechanical Engineering, University of Sciences and the Technology of Oran, L.P 1505 El-MNAOUER, USTO 31000 ORAN (Algeria)
  • Nadica Stojanovic University of Kragujevac, Faculty of Engineering, Department for Motor Vehicles and Motors, 6 Sestre Janjić STR., 34000 Kragujevac, Serbia
  • Oday Ibraheem Abdullah System Technologies and Mechanical Design Methodology, Hamburg University of Technology, Hamburg, Germany

DOI:

https://doi.org/10.13052/ejcm2642-2085.30463

Keywords:

Similarity solution, boundary layer flow, isothermal flat plate, dimensionless temperature, heat transfer rate, thermal boundary layer thickness, Runge-Kutta method

Abstract

In this paper, steady laminar boundary layer flow of a Newtonian fluid over a flat plate in a uniform free stream was investigated numerically when the surface plate is heated by forced convection from the hot fluid. This flow is a good model of many situations involving flow over fins that are relatively widely spaced. All the solutions given here were with constant fluid properties and negligible viscous dissipation for two-dimensional, steady, incompressible laminar flow with zero pressure gradient. The similarity solution has shown its efficiency here to transform the governing equations of the thermal boundary layer into a nonlinear, third-order ordinary differential equation and solved numerically by using 4th-order Runge-Kutta method which in turn was programmed in FORTRAN language. The dimensionless temperature, velocity, and all boundary layer functions profiles were obtained and plotted in figures for different parameters entering into the problem. Several results of best approximations and expressions of important correlations relating to heat transfer rates were drawn in this study of which Prandtl’s number to the plate for physical interest was also discussed across the tables. The same case of solution procedure was made for a plane plate subjected to other thermal boundary conditions in a laminar flow. Finally, for the validation of the treated numerical model, the results obtained are in good agreement with those of the specialized literature, and comparison with available results in certain cases is excellent.

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Author Biographies

Ali Belhocine, Department of Mechanical Engineering, University of Sciences and the Technology of Oran, L.P 1505 El-MNAOUER, USTO 31000 ORAN (Algeria)

Ali Belhocine received his Magister degree in Mechanical Engineering in 2006 from Mascara University, Mascara, Algeria. After then, he was a PhD student at the University of Science and the Technology of Oran (USTO Oran), Algeria. He has recently obtained his Ph.D. degrees in Mechanical Engineering at the same University. His research interests include Automotive Braking Systems, Finite Element Method (FEM), ANSYS simulation, CFD Analysis, Heat Transfer, Thermal-Structural Analysis, Tribology and Contact Mechanic.

Nadica Stojanovic, University of Kragujevac, Faculty of Engineering, Department for Motor Vehicles and Motors, 6 Sestre Janjić STR., 34000 Kragujevac, Serbia

Nadica Stojanovic, Bachelor, Master degree obtained at the University of Kragujevac, Faculty of Engineering. Scientific fields – Motor vehicles and motors. Her research areas cover FE analysis, thermal-mechanical analysis, aerodynamics, ergonomics, and environmental science. Workplace – Assistant at the University of Kragujevac, Faculty of engineering. She participates in the project “Research on vehicle safety as part of the cybernetic system: driver – vehicle – environment” of the Ministry of Education, Science and Technological Development of the Republic of Serbia. Authorized by the Traffic Safety Agency for testing and control of imported vehicles and modified vehicles.

Oday Ibraheem Abdullah, System Technologies and Mechanical Design Methodology, Hamburg University of Technology, Hamburg, Germany

Oday Ibraheem Abdullah has obtained his M.Sc degree in Mechanical Eng./University of Baghdad in 2003. He is one of the faculty members in the Department of Energy Engineering/College of Engineering/University of Baghdad since 2002. Now he is a research associate in the System Technology and Mechanical Design Methodology/Hamburg University of Technology. His research interests cover Automobile Engineering, Automotive Industry, Design Engineering, CAD Design Optimization, Finite Element Analysis, Stress Analysis and Tribology.

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Published

2021-11-27

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Original Article