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Thermal radiation effects on MHD-Rayleigh flow with constant surface heat flux

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Abstract

Thermal radiation heat transfer effects on the Rayleigh flow of gray viscous fluids under the effect of a transverse magnetic field are investigated. The free convection heat transfer problem from constant surface heat flux moving plate is selected for study. It is found that the increasing of the magnetic field number M=σ H 20 υ /ρ U 20 decreased velocities inside boundary layer, the increasing of the conduction–radiation parameter Rd=kα_R/4aT 3∞ decreased both temperatures and heat transfer rates. It is also found that the increasing of the dimensionless surface heat flux parameter q *0 =q0 υ /(kU0T∞) increased the temperatures inside the boundary layer and increased the heat transfer rates. Comparison with previous works shows excellent agreement. Different transient velocity profiles, temperature profiles and local Nusselt numbers against different dimensionless groups are drawn.

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Abbreviations

a :

Stefan–Boltzmann constant

C f :

coefficient of friction

c p :

Specific heat capacity

Gr:

Grashof number (gβ q0υ2/kU 40 )

H 0 :

magnetic field flux density (Wb/m2)

k :

thermal conductivity

M :

magnetic influence number (σ H 20 υ/ρ U 20 )

Nu:

Nusselt number (hυ/kU0)

Pr:

Prandtl number (υ/α)

q 0 :

surface heat flux

q * 0 :

dimensionless surface heat flux (q0υ/(kU0T∞))

R d :

conduction–radiation parameter (kαR/4aT3∞)

t :

transient time

T :

temperature

T ∞ :

ambient fluid temperature

u :

velocity components in X-direction

U 0 :

moving plate velocity

U :

dimensionless velocity component in X-direction

X, Y:

axial and normal coordinates

Y * :

dimensionless normal coordinate

α:

thermal diffusivity

αR:

Rosseland mean absorption coefficient

Θ:

dimensionless temperature

μ:

dynamic viscosity

υ:

kinematic viscosity

ρ:

fluid density

σ:

electrical conductivity

τ:

dimensionless time (tU 20 /υ)

References

  1. Sparrow EM, Cess RD (1961) Effect of magnetic field on free convection heat transfer. Int J Heat Mass Transfer 3:267–270

    Article  Google Scholar 

  2. Romig M (1964) The influence of electric and magnetic field on heat transfer to electrically conducting fluids. Adv Heat Transfer 1:268–352

    Google Scholar 

  3. Garandet JP, Alboussiere V, Moreau R (1992) Buoyancy driven convection in a rectangular enclosure with a transverse magnetic field. Int J Heat Mass Transfer 35:741–749

    Article  CAS  Google Scholar 

  4. Takhar HS, Ram PC (1994) Magnetohydrodynamic free convection flow of water at 4°C through a porous medium. Int Commun Heat Mass Transfer 21(3):371–376

    Article  Google Scholar 

  5. Raptis A, Singh AK (1983) MHD free convection flow past an accelerated vertical plate. Int Commun Heat Mass Transfer 10:313–321

    Article  Google Scholar 

  6. Jha BK (2001) Natural convection in unsteady MHD Couette flow. Heat Mass Transfer 37:329–331

    Google Scholar 

  7. Takhar HS, Chamkha AJ, Nath G (2001) Unsteady laminar MHD flow and heat transfer in the stagnation region of impulsively spinning and translating sphere in the presence of buoyancy forces. Heat Mass Transfer 37:397–402

    Article  Google Scholar 

  8. Nirmal C, Chandran S, Chandran P, Singh AK (1994) An exact solution for unsteady magnetohydrodynamic free convection flow with constant heat flux. Int Commun Heat Mass Transfer 21:131–142

    Article  Google Scholar 

  9. Soundalgekar VM, Takhar HS, Vighnesam NV (1960) The combined free and forced convection flow past a semi-infinite plate with variable surface temperature. Nucl Eng Des 110:95–98

    Article  Google Scholar 

  10. Hossain MA, Takhar HS (1996) Radiation effect on mixed convection along a vertical plate with uniform surface temperature. Heat Mass Transfer 31:243–248

    Article  CAS  Google Scholar 

  11. Hossain MA, Alim MA, Rees DA (1999) The effect of radiation on free convection from a porous vertical plate. Int J Heat Mass Transfer 42:181–191

    Article  CAS  Google Scholar 

  12. Duwairi HM, Rebhi A, Damseh (2004) Magnetohydrodynamic natural convection heat transfer from radiate vertical porous surfaces. Heat Mass Transfernm (in press)

  13. Duwairi HM, Rebhi A, Damseh (2004) MHD-buoyancy aiding and opposing flows with viscous dissipation effects from radiate vertical surfaces. Can J Chem Eng (in press)

  14. Ali MM, Chen TS, Armaly BF (1984) Natural convection radiation interaction in boundary layer flow over horizontal surfaces. AIAA J 22:1797–1803

    Google Scholar 

  15. Anderson J Computational fluid dynamics, Chapter 9. McGraw-Hill, New York

Download references

Acknowledgements

The authors wish to express their sincere thanks for the referees for their valuable comments.

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Authors and Affiliations

  1. Mechanical Engineering Department, Faculty of Engineering and Technology, The University of Jordan, Amman, Jordan

    H. M. Duwairi

  2. Computer Science Department, Faculty of Computer and Information Technology, JUST, Irbid, Jordan

    R. M. Duwairi

Authors
  1. H. M. Duwairi
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  2. R. M. Duwairi
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Duwairi, H.M., Duwairi, R.M. Thermal radiation effects on MHD-Rayleigh flow with constant surface heat flux. Heat Mass Transfer 41, 51–57 (2004). https://doi.org/10.1007/s00231-004-0524-6

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  • DOI: https://doi.org/10.1007/s00231-004-0524-6

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