Advertisement

Heat and Mass Transfer

, 46:129 | Cite as

MHD mixed convective heat transfer flow about an inclined plate

  • Orhan AydınEmail author
  • Ahmet Kaya
Original

Abstract

Mixed convection heat transfer about a semi-infinite inclined plate in the presence of magneto and thermal radiation effects is studied. The fluid is assumed to be incompressible and dense. The nonlinear coupled parabolic partial differential equations governing the flow are transformed into the non-similar boundary layer equations, which are then solved numerically using the Keller box method. The effects of the mixed convection parameter R i, the angle of inclination α, the magnetic parameter M and the radiation–conduction parameter R d on the velocity and temperature profiles as well as on the local skin friction and local heat transfer parameters. For some specific values of the governing parameters, the results are compared with those available in the literature and a fairly good agreement is obtained.

Keywords

Mixed Convection Radiative Heat Flux Incline Plate Local Skin Friction Mixed Convection Parameter 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

List of symbols

cp

Specific heat of the convective fluid

f

Dimensionless stream function

Gr

Grashof number

Ha

Hartman number, Ha = σB 0 2 L 2/μ

M

Magnetic parameter, M = Ha/Re

Pr

Prandtl number

qr

The component of radiative flux in y direction, W/m2

Rd

Radiation parameter

Re

Reynolds number

T

Temperature

u, υ

Velocities in x and y directions, respectively

x, y

Coordinates in horizontal and vertical directions, respectively

Greek symbols

α

Angle of inclination

αR

Rosseland mean absorption coefficient

η

Pseudo similarity variable, yRe x 1/2 /x

ξ

Non-similarity variable, x/L

σ

Stefan–Boltzmann constant, W/m2 K4

ρ

Fluid density

μ

Dynamic viscosity

ν

Kinematic viscosity

θ

Dimensionless temperature profile in Eq. 6

θw

Temperature ratio, T w/T

Subscripts

W

Wall

Free stream

Notes

Acknowledgment

The first author of this article is indebted to the Turkish Academy of Sciences (TUBA) for the financial support provided under the Programme to Reward Success Young Scientists (TUBA-GEBIT).

References

  1. 1.
    Alam MS, Rahman MM, Sattar MA (2008) Effects of variable suction and thermophoresis on steady MHD combined free-forced convective heat and mass transfer flow over a semi-infinite permeable inclined plate in the presence of thermal radiation. Int J Therm Sci 47:758–765CrossRefGoogle Scholar
  2. 2.
    Abo-Eldahab EM, Azam GEDA (2005) Thermal radiation effects on MHD flow past a semi-infinite inclined plate in the presence of mass diffusion. Heat Mass Transf 41:1056–1065CrossRefGoogle Scholar
  3. 3.
    Kandasamy R, MdRaj AWB, Khamis AB (2006) Effects of chemical reaction, heat and mass transfer on boundary layer flow over a porous wedge with heat radiation in the presence of suction or injection. Theoret Appl Mech 33(2):123–148CrossRefGoogle Scholar
  4. 4.
    Alam MS, Rahman MM, Sattar MA (2009) On the effectiveness of viscous dissipation and Joule heating on steady magnetohydrodynamic heat and mass transfer flow over an inclined radiate isothermal permeable surface in the presence of thermophoresis. Commun Nonlinear Sci Numer Simul 14:2132–2143CrossRefGoogle Scholar
  5. 5.
    Al-Odat MQ, Al-Hussien FMS, Damseh RA (2005) Influence of radiation on mixed convection over a wedge in non-Darcy porous medium. Forsch Ingenieurwes 69:209–215CrossRefGoogle Scholar
  6. 6.
    Chamkha AJ, Mujtaba M, Quadri A, Issa C (2003) Thermal radiation effects on MHD forced convection flow adjacent to a non-isothermal wedge in the presence of heat source or sink. Heat Mass Transf 39:305–312Google Scholar
  7. 7.
    Hossain MA, Takhar HS (1996) Radiation effects on mixed convection along a vertical plate with uniform surface temperature. Heat Mass Transf 31:243–248CrossRefGoogle Scholar
  8. 8.
    Hossain MA, Pop I (1997) Radiation effect on Darcy free convection flow along an inclined surface placed in porous media. Heat Mass Transf 32(4):223–227CrossRefGoogle Scholar
  9. 9.
    Duwairi HM (2005) Viscous and Joule heating effects on forced convection flow from radiate isothermal porous surfaces. Int J Numer Meth Heat Fluid Flow 15:429–440CrossRefGoogle Scholar
  10. 10.
    Damseh RA, Duwairi HM, Al-Odat M (2006) Similarity analysis of magnetic field and thermal radiation effects on forced convection flow. Turkish J Eng Env Sci 30:83–89Google Scholar
  11. 11.
    Chen CH (2004) Heat and mass transfer in MHD flow by natural convection from a permeable, inclined surface with variable wall temperature and concentration. Acta Mech 172:219–235zbMATHCrossRefGoogle Scholar
  12. 12.
    Seddeek MA (2000) The effect of variable viscosity on hydromagnetic flow and heat transfer past a continuously moving porous boundary with radiation. Int Commun Heat Mass 27(7):1037–1046CrossRefGoogle Scholar
  13. 13.
    Abdelkhalek MM (2006) The skin friction in the MHD mixed convection stagnation point with mass transfer. Int Commun Heat Mass 33:249–258CrossRefGoogle Scholar
  14. 14.
    Ganesan P, Palani G (2004) Finite difference analysis of unsteady natural convection MHD flow past an inclined plate with variable surface heat and mass flux. Int J Heat Mass Transf 47:4449–4457zbMATHCrossRefGoogle Scholar
  15. 15.
    Abo-Eldahab EM, El-Aziz MA, Salem AM, Jaber KK (2007) Hall current effect on MHD mixed convection flow from an inclined continuously stretching surface with blowing/suction and internal heat generation/absorption. Appl Math Model 31:1829–1846zbMATHCrossRefGoogle Scholar
  16. 16.
    Takhar HS, Chamkha AJ, Nath G (2003) Effects of non-uniform wall temperature or mass transfer in finite sections of an inclined plate on the MHD natural convection flow in a temperature stratified high-porosity medium. Int J Therm Sci 42:829–836CrossRefGoogle Scholar
  17. 17.
    Aydın O, Kaya A (2008) Radiation effect on MHD mixed convection flow about a permeable vertical plate. Heat Mass Transf 45:239–246CrossRefGoogle Scholar
  18. 18.
    Sparrow EM, Cess RD (1961) Free convection with blowing or suction. J Heat Trans-T ASME 83:387–396Google Scholar
  19. 19.
    Ali MM, Chen TS, Armaly BF (1984) Natural convection–radiation interaction in boundary-layer flow over horizontal surfaces. AIAA J 22:1797–1803zbMATHCrossRefGoogle Scholar
  20. 20.
    Cebeci T, Bradshaw P (1984) Physical and computational aspects of convective heat transfer. Springer, New YorkzbMATHGoogle Scholar

Copyright information

© Springer-Verlag 2009

Authors and Affiliations

  1. 1.Department of Mechanical EngineeringKaradeniz Technical UniversityTrabzonTurkey
  2. 2.Department of Mechanical EngineeringAksaray UniversityAksarayTurkey

Personalised recommendations