THE EFFECTS OF TEMPERATURE DEPENDENT VISCOSITY AND VISCOUS DISSIPATION ON MHD CONVECTION FLOW FROM AN ISOTHERMAL HORIZONTAL CIRCULAR CYLINDER IN THE PRESENCE OF STRESS WORK AND HEAT GENERATION

  • Nabil T.M. Eldabe Mathematics Department, Faculty of Education, Ain Shams University, Heliopolis, Cairo, Egypt,
  • Elsayed M. A. Elbashbeshy Mathematics Department, Faculty of Science, Ain Shams University, Abbassia, Cairo, Egypt
  • I. K. Youssef Mathematics Department, Faculty of Science, Ain Shams University, Abbassia, Cairo, Egypt
  • Ahmed M. Sedki Mathematics Department, Faculty of Science, Ain Shams University, Abbassia, Cairo, Egypt, Mathematics Department, Faculty of Science, Jazan University, Jazan, Saudi Arabia

Abstract

Temperature dependent viscosity and Viscous Dissipation effects are considered on hydromagnetic natural convection flow from horizontal circular cylinder immersed in an electrically conducting fluid with viscosity proportional to a linear function of temperature in the presence of stress work and heat generation. The partial differential governing equations are transformed to dimensionless forms. The numerical computations are carried out for several values of physical parameters involved in the transformed equations. The resulting nonlinear system of partial differential equations is solved numerically by Keller box method which is an implicit finite difference technique with Newton's linearization method. The features of the flow and heat transfer characteristics for different values of the governing parameters are analyzed and discussed. To support the accuracy of the numerical results, a comparison is made with known results from the open literature for some particular cases of the present study and the results are found to be in good agreement.

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Published
2014-12-30
How to Cite
Eldabe, N. T., Elbashbeshy, E. M. A., Youssef, I. K., & Sedki, A. M. (2014). THE EFFECTS OF TEMPERATURE DEPENDENT VISCOSITY AND VISCOUS DISSIPATION ON MHD CONVECTION FLOW FROM AN ISOTHERMAL HORIZONTAL CIRCULAR CYLINDER IN THE PRESENCE OF STRESS WORK AND HEAT GENERATION. European Scientific Journal, ESJ, 10(36). Retrieved from http://eujournal.org/index.php/esj/article/view/4889