THE VISCOUS DISSIPATION EFFECTS ON THE MIXED CONVECTION BOUNDARY LAYER FLOW ON A HORIZONTAL CIRCULAR CYLINDER

Authors

  • Muhammad Khairul Anuar Mohamed Applied & Industrial Mathematics Research Group, Fakulti Sains & Teknologi Industri, Universiti Malaysia Pahang, 26300 UMP Kuantan, Pahang, Malaysia
  • Mohd Zuki Salleh Applied & Industrial Mathematics Research Group, Fakulti Sains & Teknologi Industri, Universiti Malaysia Pahang, 26300 UMP Kuantan, Pahang, Malaysia
  • Nor Aida Zuraimi Md Noar Applied & Industrial Mathematics Research Group, Fakulti Sains & Teknologi Industri, Universiti Malaysia Pahang, 26300 UMP Kuantan, Pahang, Malaysia
  • Anuar Ishak Pusat Pengajian Sains Matematik, Fakulti Sains & Teknologi, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, Malaysia

DOI:

https://doi.org/10.11113/jt.v78.8304

Keywords:

Mixed convection, horizontal circular cylinder, viscous dissipation

Abstract

Present study consider the mathematical modeling for mixed convection boundary layer flow and heat transfer on a horizontal circular cylinder with viscous dissipation. The transformed partial differential equations are solved numerically by using an implicit finite-difference scheme known as the Keller-box method. Numerical solutions are obtained for the reduced Nusselt number, the local skin friction coefficient, the velocity and temperature profiles. The features of the flow for various values of the Prandtl number, Eckert number and mixed convection parameter are discussed. The results in this paper is original and important for the researchers working in the area of boundary layer flow and this can be used as reference and also as complement comparison purpose in future

References

Pop, I. & Ingham, D. B. 2001. Convective Heat Transfer: Mathematical and Computational Modelling of Viscous Fluids and Porous Medium. Oxford: Pergamon.

Kreith, F., Manglik, R. M. & Bohn, M. S. 2010. Principles of Heat Transfer. Stamford USA: Cengage Learning.

Blasius, H. (1908). Boundary Layer in Fluid, Fluids with Less Friction. Z Math. Phys, 56: 1-37

Frossling, N. (1958). Calculation by series expansion of the heat transfer in laminar, constant-property boundary layers at nonisothermal surfaces. Arkiv Fysik, 14:143-151

Gebhart, B. & Pera, L. 1971. Mixed Convection From Long Horizontal Cylinders. Journal of Fluid Mechanics. 45(01): 49-64.

Merkin, J. H. 1977. Mixed Convection From A Horizontal Circular Cylinder. International Journal of Heat and Mass Transfer. 20(1): 73-77.

Jain, P. & Lohar, B. 1979. Unsteady Mixed Convection Heat Transfer From A Horizontal Circular Cylinder. J. Heat Transfer. 101(1): 126-131.

Nazar, R., Amin, N. & Pop, I. 2003. Mixed Convection Boundary-Layer Flow From A Horizontal Circular Cylinder In Micropolar Fluids: Case Of Constant Wall Temperature. International Journal of Numerical Methods for Heat & Fluid Flow. 13(1): 86-109.

Anwar, I., Amin, N. & Pop, I. 2008. Mixed Convection Boundary Layer Flow Of A Viscoelastic Fluid Over A Horizontal Circular Cylinder. International Journal of Non-Linear Mechanics. 43(9): 814-821.

Salleh, M., Nazar, R. & Pop, I. 2010. Mixed Convection Boundary Layer Flow Over A Horizontal Circular Cylinder With Newtonian Heating. Heat and Mass transfer. 46(11-12): 1411-1418.

Ahmad, S., Arifin, N. M., Nazar, R. & Pop, I. 2009. Mixed Convection Boundary Layer Flow Past An Isothermal Horizontal Circular Cylinder With Temperature-Dependent Viscosity. International Journal of Thermal Sciences. 48(10): 1943-1948.

Rahman, M. M., Alim, M. A. & Chowdhury, M. K. 2009. Magnetohydrodynamics Mixed Convection Around a Heat Conducting Horizontal Circular Cylinder in a Rectangular Lid-driven Cavity with Joule Heating.

Nazar, R., Tham, L., Pop, I. & Ingham, D. 2011. Mixed Convection Boundary Layer Flow From A Horizontal Circular Cylinder Embedded In A Porous Medium Filled With A Nanofluid. Transport in porous media. 86(2): 517-536.

Rashad, A. M., Chamkha, A. J. & Modather, M. 2013. Mixed Convection Boundary-Layer Flow Past A Horizontal Circular Cylinder Embedded In A Porous Medium Filled With A Nanofluid Under Convective Boundary Condition. Computers & Fluids. 86(0): 380-388.

Tham, L., Nazar, R. & Pop, I. 2014. Mixed Convection Flow From A Horizontal Circular Cylinder Embedded In A Porous Medium Filled By A Nanofluid: Buongiorno–Darcy Model. International Journal of Thermal Sciences. 84: 21-33.

Gebhart, B. 1962. Effects Of Viscous Dissipation In Natural Convection. Journal of Fluid Mechanics. 14(02): 225-232.

Nazar, R. M., "Mathematical Model for Free and Mixed Convection Boundary Layer Flows of Micropolar Fluids", PhD Thesis, Universiti Teknologi Malaysia, 2003

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Published

2016-04-18

How to Cite

THE VISCOUS DISSIPATION EFFECTS ON THE MIXED CONVECTION BOUNDARY LAYER FLOW ON A HORIZONTAL CIRCULAR CYLINDER. (2016). Jurnal Teknologi (Sciences & Engineering), 78(4-4). https://doi.org/10.11113/jt.v78.8304