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

  • 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.
  • Mustapha Shehu Department of Physics, Federal University Dutse, Jigawa state, Nigeria
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.

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Published
2023-12-31
How to Cite
Auwal D. M., Gafai M. M., Garba A. A., & Shehu M. (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