Steady axisymmetric flow and heat transfer of micropolar fluid over a vertical permeable slender cylinder in the presence of thermal radiation

• Autorzy: Mansour M. A. , Mohamed R. A. , Abd Elaziz M. M. , Ahmed S. E.
• Języki publikacji: EN

Abstrakty

EN

The effects of thermal radiation and suction/blowing on an axisymmetric flow and heat transfer of a micropolar fluid over a vertical slender cylinder are analyzed. The partial differential equations governing the flow and heat transfer have been transformed to ordinary differential equations by using similarity transformations which are then solved numerically. The numerical results are validated by favorable comparisons with previously published results. The cases of buoyancy-assisted flow, pure mixed convection, buoyancy opposed flow, permeable cylinder, impermeable cylinder, Newtonian fluids and non-Newtonian fluids as well as the case which represents concentrated particle flow in which the microelements close to the wall surface are unable to rotate and the case which indicates vanishing of an antisymmetric part of the stress tensor are considered. A parametric study of the governing parameters, namely the buoyancy parameter, suction/injection parameter, radiation parameter, vortex viscosity parameter, curvature parameter and microgyration boundary conditions parameter on the linear velocity, angular velocity and temperature as well as the wall stress, wall couple stress and the rate of heat transfer is conducted. A selected set of numerical results is presented graphically and discussed.

Słowa kluczowe

EN

axisymmetric flow; suction/injection; micropolar fluid; permeable cylinder

PL

ssanie; wtrysk; promieniowanie cieplne

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2010
• Tom: Vol. 15, no 4
• Strony: 1185--1203
• Opis fizyczny: Bibliogr. 20 poz., tab., wykr.

Twórcy

autor

Mansour M. A.

autor

Mohamed R. A.

autor

Abd Elaziz M. M.

autor

Ahmed S. E.

• Department of Mathematics South Valley University, Qena, EGYPT,

Bibliografia

• Eringen A. (1964): Simple microfluids. - Int. J. Eng. Sci., vol.2, pp.205-217.
• Eringen A. (1966): Theory of micropolar fluids. - J. Math. Mech., vol.16, pp.1-18.
• Gorla R.S.R. (1976): Heat transfer in an axisymmetric stagnation flow on a cylinder. - Appl. Sci. Res. J., vol.32, pp.541-553.
• Gorla R.S.R., Jankowski F. and Textor D.(1988): Periodic boundary layer near an axisymmetric stagnation point on a circular cylinder. - Int. J. Heat Fluid Flow, vol.9, pp.421-426.
• Gorla R.S.R., Jankowski F. and Textor D.(1988): Thermal response of a periodic boundary layer near an axisymmetric stagnation point on a circular cylinder. - Int. J. Heat Fluid Flow, vol.9, pp.427-430.
• Hassanien I.A. and Gorla R.S.R. (1990): Combined forced and free convection in stagnation flows of micropolar fluids over vertical non-isothermal surfaces. - Int. J. Eng. Sci., vol.28, pp.783-792.
• Hossain M.A. and Takhar H.S. (1996): Radiation effect on mixed convection along a vertical plate with uniform surface temperature. - Heat Mass Transfer, vol.31, pp.243-248.
• Hossain M.A. and Takhar H.S. (1997): Radiation-conduction interaction in mixed convection along rotating bodies. - Heat Mass Transfer, vol.33, pp.201-208.
• Hossain M.A., Rees D.A.S. and Pop I. (1998): Free convection-radiation interaction from an isothermal plate inclined at a small angle to the horizontal. - Acta Mechanica, vol.127, pp.63-73.
• Hossain M.A., Kutubuddin M. and Pop I. (1999): Effect of conduction-radiation interaction on the mixed convection flow from a horizontal cylinder. - Heat Mass Transfer, vol.35, pp.307-314.
• Ishak A., Merkin J.H., Nazar R. and Pop I. (2007): Mixed convection boundary layer flow over a permeable vertical surface with prescribed wall heat flux. - J. Appl. Math. Phys., doi:10.1007/s00033-006-6082-7.
• Ishak A., Nazar R. and Pop I. (2007): Dual solutions in mixed convection flow near a stagnation point on a vertical porousplate. - Int. J. Therm. Sci., vol.47, pp.417-422.
• Ishak A., Nazar R. and Pop I. (2007): The effects of transpiration on the boundary layer flow and heat transfer over a vertical slender cylinder. - Int. J. Non-Linear Mech., vol.42, pp.1010-1017.
• Lok Y.Y., Amin N. and Pop I. (2006): Unsteady mixed convection flow of a micropolar fluid near the stagnation point on a vertical surface. - Int. J. Therm. Sci., vol.45, pp.1149-1157.
• Mahmood T. and Merkin J.H. (1988): Similarity solutions in axisymmetric mixed-convection boundary-layer flow. - J. Eng. Math., vol.22, pp.73-92.
• Massoudi M. (2001): Local non-similarity solutions for the flow of a non-Newtonian fluid over a wedge. - Int. J. Non-Linear Mech., vol.36, pp.961-97.
• Ramachandran N., Chen T.S. and Armaly B.F. (1988): Mixed convection in stagnation flows adjacent to vertical surfaces. - ASMEJ. Heat Transfer, vol.110, pp.373-377.
• Wang C.Y. (1974): Axisymmetric stagnation flow on a cylinder. - Quarterly J. Appli. Math, vol.32, pp.207-213.
• Weidman P.D., Kubitschek D.G. and Davis A.M.J. (2006): The effect of transpiration on self-similar boundary layer flow over moving surfaces. - Int. J. Eng. Sci., vol.44, pp.730-737.
• Weidman P.D., Davis A.M. and Kubitschek D.G. (2007): Crocco variable formulation for uniform shear flow over a stretching surface with transpiration: multiple solutions and stability. - J. Appl. Math. Phys., doi:10.1007/s00033-006-6018-2.