g-Jitter Free Convection Flow Near a Three-Dimensional Stagnation-Point Region with Internal Heat Generation

Authors

  • Fakhru Ridhwan Hamdan Department of Mathematical Science, Faculty of Science, Universiti Teknologi Malaysia, 81310 Skudai, Johor, Malaysia
  • Mohamad Hidayad Ahmad Kamal Department of Mathematical Science, Faculty of Science, Universiti Teknologi Malaysia, 81310 Skudai, Johor, Malaysia
  • Noraihan Afiqah Rawi Department of Mathematical Science, Faculty of Science, Universiti Teknologi Malaysia, 81310 Skudai, Johor, Malaysia
  • Ahmad Qushairi Mohamad Department of Mathematical Science, Faculty of Science, Universiti Teknologi Malaysia, 81310 Skudai, Johor, Malaysia
  • Anati Ali Department of Mathematical Science, Faculty of Science, Universiti Teknologi Malaysia, 81310 Skudai, Johor, Malaysia
  • Mohd Rijal Ilias Department of Mathematics, Faculty of Computer and Mathematical Science, Universiti Teknologi Mara, 42300 Shah Alam, Selangor, Malaysia
  • Sharidan Shafie Department of Mathematical Science, Faculty of Science, Universiti Teknologi Malaysia, 81310 Skudai, Johor, Malaysia

Keywords:

stagnation-point flow, g-Jitter, internal heat generation

Abstract

A numerical study on unsteady free convection viscous fluid flow on a three-dimensional stagnation point region was studied. On the flow, g-jitter effect occurs under microgravity environment and exothermic reaction causing the heat generation effect. A system of nonlinear parabolic partial differential equations was modified and introduced in this study as an extension from previous study. After semi-similar transformation technique, an implicit finite difference scheme known as the Keller-box method was imposed on the dimensionless governing equation. The analysis on profiles and physical quantities of principal interest was conducted based on the parameters considered in this flow; curvature ratio c, oscillation frequency W , amplitude of modulation e , and heat generation Q . Analysis on velocity profiles shows the behavior for natural convection flow thus satisfies the boundary condition. On the other hand, different value of c produced a different special stagnation-point flow due to the different geometrical shape implies. In addition, g-Jitter effect produced a fluctuating behavior on the flow and heat transfer with larger values of W increased the convergence rate. From the temperature results, the temperature profile was found increased but the heat flux on the wall values decreased as Q increased. A comparison study on published result with present study shows the result on skin friction coefficient and heat flux on the wall corresponds to a very good agreement.

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Published

2020-12-29

How to Cite

Hamdan, F. R. ., Ahmad Kamal, M. H. ., Rawi, N. A. ., Mohamad, A. Q. ., Ali, A. ., Ilias, . M. R. ., & Shafie, S. . (2020). g-Jitter Free Convection Flow Near a Three-Dimensional Stagnation-Point Region with Internal Heat Generation. Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, 67(1), 119–135. Retrieved from https://www.akademiabaru.com/submit/index.php/arfmts/article/view/2841

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