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Heat transfer to a micropolar fluid from a non-isothermal stretching sheet with suction and blowing

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Summary

The heat transfer from a stretching sheet to a micropolar fluid is analyzed using the theory of micropolar fluids formulated by Eringen. The governing equations for momentum, angular momentum and energy have been solved numerically. Numerical data for the friction factor and Nusselt number has been tabulated for a range of Prandtl numbers. Surface mass transfer rate and the power law constant for the wall temperature have considerable influence on the heat transfer mechanism.

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Abbreviations

E c :

Eckert number

f :

dimensionless velocity function

g :

dimensionless microrotation

G, N 1 :

dimensionless material parameters

j :

microinertia per unit mass

K :

material coefficient

N :

angular velocity

Nu :

Nusselt number

Pr :

Prandtl number

Re :

Reynolds number

T :

temperature

u :

surface velocity

v :

velocity iny-direction

U s :

surface velocity

x :

distance along the surface

y :

distance normal to the surface

μ:

viscosity coefficient

ϱ:

density of the fluid

σ:

dimensionless temperature

γ:

power law exponent

ω:

conditions at the surface

∞:

conditions far away from the surface

References

  1. Hoyt, J. W., Fabula, A. G.: The effect of additives on fluid friction. U.S. Naval Ordinance Test Station Report (1964).

  2. Vogel, W. M., Patterson, A. M.: An experimental investigation of additives injected into the boundary layer of an underwater body. Pacific Naval Lab. of the Defense Res. Board of Canada, Report 64-2 (1964).

  3. Eringen, A. C.: Theory of micropolar fluids. J. Math. Mech.16, 1 (1966).

    Google Scholar 

  4. Eringen, A. C.: Theory of thermomicrofluids. J. Math. Anal. Appl.38, 480 (1972).

    Google Scholar 

  5. Sakiadis, B. C.: Boundary layer behavior on continuous solid surface; the boundary layer on a continuous flat surface. Am. Inst. Chem. Engrs J.7, 221 (1961).

    Google Scholar 

  6. Soundalgekar, V. M., Takhar, H. S.: Boundary layer flow of a micropolar fluid on a continuous moving plate. Int. J. Engng Sci.21, 961 (1983).

    Google Scholar 

  7. Gorla, R. S. R., Ameri A.: Boundary layer flow of a micropolar fluid on a continuous moving cylinder. Acta Mech.53, 203 (1985).

    Google Scholar 

  8. Gorla, R. S. R.: Combined forced and free convection in the boundary layer flow of a micropolar fluid on a continuous moving vertical cylinder. Int. J. Engng Sci.27, 77 (1989).

    Google Scholar 

  9. Crane, L. J.: Heat transfer on continuous solid surfaces. J. Appl. Math. Phys.21, 645 (1970).

    Google Scholar 

  10. Gupta, P. S., Gupta, A. S.: Heat and mass transfer on a stretching sheet with suction and blowing. Can. J. Chem. Engng.55, 744 (1977).

    Google Scholar 

  11. Dutta, B. K., Roy, P., Gupta, A. S.: Heat transfer on stretching sheet. Int. Commun. Heat Mass Transfer12, 89 (1985).

    Google Scholar 

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Author notes

  1. R. S. R. Gorla

    Present address: Department of Mechanical Engineering, Cleveland State University, 44 115, Cleveland, OH, USA

  2. I. A. Hassanien

    Present address: Assiut University, Egypt

Authors and Affiliations

  1. Department of Mechanical Engineering, Cleveland State University, 44 115, Cleveland, OH, USA

    I. A. Hassanien

Authors
  1. I. A. Hassanien
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  2. R. S. R. Gorla
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Hassanien, I.A., Gorla, R.S.R. Heat transfer to a micropolar fluid from a non-isothermal stretching sheet with suction and blowing. Acta Mechanica 84, 191–199 (1990). https://doi.org/10.1007/BF01176097

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  • DOI: https://doi.org/10.1007/BF01176097

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