A NUMERICAL APPROACH FOR THE STUDY OF HEAT GENERATION IN THE PRESENCE OF THERMAL BOUNDARY LAYER FOR A FLAT PLATE

Authors

  • Mustapha Shehu Department of Physics, Federal University Dutse, Jigawa state, Nigeria
  • D. M. Auwal Department of Mathematics and Statistics, Umaru Musa Yar’adua University, Katsina-Nigeria.
  • M. M. Gafai Department of Mathematics and Statistics, Umaru Musa Yar’adua University, Katsina-Nigeria.
  • A. A. Garba Department of Electrical and Electronics, Katsina State Institute of Technology and Management, PMB2101, Katsina State, Nigeria.

DOI:

https://doi.org/10.33003/fjs-2023-0706-2086

Keywords:

Heat Transfer, Similarity variable, Prandtl number, Dimensionless velocity, Stream function, Kinematics viscosity

Abstract

In this study, we investigate the laminar boundary layer flow in two dimensions, steadiness, and incompressibility around a moving vertical flat plate in a uniform free stream of fluid with a convective surface boundary condition. The similarity transformation technique has been applied to convert the governing nonlinear partial differential equation into two nonlinear ordinary differential equations. By combining the finite difference method with the shooting technique, the problem is solved numerically. We present a tabular and graphical representation of the variation in dimensionless temperature and fluid-solid interface characteristics for various values of the Prandtl number. As a special case of the problem, a comparison between the current result and the previously published result demonstrates a good agreement.

References

Adamu, Y.A. & Olaleye, A.A. (2022). Speciation, Mobility and Potential Toxicity of Metals (Cr, Co, Cu and Mn) in Soil Samples from Dumpsites in Kano Metropolis. FUDMA Journal of Sciences, 6(5), 270 – 277.

Adeleye, D. R., and Dessauvagie, T.F.J. (1972). Stratigraphy of the Niger embayment near Bida, Nigeria. In T.F.J. Dessauvagie and A. J. Whiteman (Eds.) Africa Geology (pp.181-186), Ibadan, University of Ibadan Press.

Adeleye, D. R. (1973). Origin of Ironstones, an Example from the Middle Niger Valley. Journal of Sedimentary Petrology, 43(3). 709-727.

Davies, B.E. (1983). A graphical estimation of the normal lead content of some British soils. Geoderma, 29, 67-75.

Davies, B.E. (1987). Consequences of Environmental Contamination by Lead Mining in Wales, Hydrobiologia, 149, 213-220.

Published

2023-12-31

How to Cite

Shehu, M., Auwal, D. M., Gafai, M. M., & Garba, A. A. (2023). A NUMERICAL APPROACH FOR THE STUDY OF HEAT GENERATION IN THE PRESENCE OF THERMAL BOUNDARY LAYER FOR A FLAT PLATE. FUDMA JOURNAL OF SCIENCES, 7(6), 261- 266. https://doi.org/10.33003/fjs-2023-0706-2086