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Effect of uniform blowing/suction on MHD-natural convection over a horizontal cylinder: UWT or UHF

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Summary

A laminar boundary-layer analysis is used to investigate the flow and heat transfer characteristics of MHD-natural convection over a horizontal cylinder under the effect of uniform blowing/suction. The surface of the horizontal cylinder is maintained at a uniform wall temperature (UWT) or a uniform heat flux (UHF). The nonsimilar governing equations are obtained by using a suitable transformation and solved by the Keller box method. Numerical results for the dimensionless velocity profiles, the dimensionless temperature profiles, the skin friction coefficient, and the Nusselt number are presented for various values of the dimensionless coordinate ξ, the magnetic parameterM, the Prandtl number Pr, and the blowing/suction parameterf w . Increasing the Prandtl number Pr or the magnetic parameterM and decreasing the blowing/suction parameterf w decreases the skin friction coefficient. The Nusselt number increases (decreases) with an increase inf w or Pr (ξ orM).

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Abbreviations

a :

Radius of the horizontal cylinder

B o :

Externally imposed magnetic field in they-direction

C f :

Skin-friction coefficient

f :

Dimensionless stream function

f w :

Blowing/suction parameter

g :

Gravitational acceleration

Gr:

Grashof number for UWT

Gr* :

Grashof number for UHF

h :

Convective heat transfer coefficient

k :

Thermal conductivity

M :

Magnetic parameter

Nu:

Nusselt number,ha/k

Pr:

Prandtl number,v/α

q w :

Wall heat flux

T :

Temperature

u :

Velocity component in thex-direction

v :

Velocity component in they-direction

V w :

Surface blowing/suction velocity

x :

Streamwise coordinate

y :

Transverse coordinate

α:

Thermal diffusivity

β:

Coefficient of thermal expansion

η:

Pseudosimilarity variable

γ:

Dimensionless temperature

v :

Kinematic viscosity of convective fluid

ξ:

Dimensionless coordinate

ϱ:

Density

σ:

Electrical conductivity

Φ:

Angle of they-axis with respect to the vertical

Ψ:

Stream function

ω:

Condition at the wall

∞:

Condition at infinity

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Author notes

  1. K. A. Yih

    Present address: Air Force Aeronautical & Technical School, Gangshan, 90395-2, Kaohsiung, Taiwan

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  1. F 3 No. 11 Lane 53 Min Zhi Road, 73011, Hsin-ying City, Tainan County, Taiwan Republic of China

    K. A. Yih

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Yih, K.A. Effect of uniform blowing/suction on MHD-natural convection over a horizontal cylinder: UWT or UHF. Acta Mechanica 144, 17–27 (2000). https://doi.org/10.1007/BF01181825

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  • DOI: https://doi.org/10.1007/BF01181825

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