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Mixed convection boundary layer flow of a micropolar fluid on a horizontal plate

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Summary

A boundary layer analysis is presented to study the effects of buoyancy-induced streamwise pressure gradients on laminar forced convection heat transfer to micropolar fluids from a horizontal plate. A numerical solution of the transformed boundary layer equations has been carried out for different values of the buoyancy and material parameters. A discussion is provided for the effect of the bouyancy force on the friction factor, the dimensionless heat transfer rate, and the details of the velocity as well as temperature field.

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Abbreviations

f :

Dimensionless velocity

g :

Dimensionless microrotation

g a :

Acceleration due to gravity

Gr :

Grashof number

h :

Heat transfer coefficient

j :

Microinertia per unit mass

\(\mathop j\limits^ \to \) :

Unit vector iny-direction

K, G :

Dimensionless material property

L :

Characteristic length

N :

Angular velocity

Nu :

Nusselt number

p :

Pressure

Pr :

Prandtl number

q :

Surface heat flux

Re:

Reynolds number

T :

Temperature

u :

Velocity inx-direction

v :

Velocity iny-direction

U ∞ :

Velocity at the boundary layer edge

x :

Distance along the surface

y :

Distance normal to the surface

μ:

Viscosity coefficient

ϱ:

Density of the fluid

ξ:

Buoyancy parameter

θ:

Dimensionless temperature

λ:

Dimensionless material parameter

w :

Surface conditions

∞:

Conditions far away from the surface

References

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  3. Ahmadi, G.: Self-similar solution of incompressible micropolar boundary layer flow over a semi-infinite plate. Int. J. Eng. Sci.14, 639–646 (1976).

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  4. Gorla, R. S. R.: Heat transfer in micropolar boundary layer flow over a flat plate. Int. J. Eng. Sci.21, 791–798 (1983).

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  5. Jena, S. K., Mathur, M. M.: Similarity solutions for laminar free convection flow a thermomicropolar fluid past a non-isothermal vertical plate. Int. J. Eng.19, 1431–1439 (1981).

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  6. Gorla, R. S. R.: Combined forced and free convection from a micropolar boundary layer flow on a vertical flat plate. Int. J. Eng. Sci.26, 385–391 (1988).

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Author notes

  1. R. S. R. Gorla (Professor of Mechanical Engineering)

    Present address: Cleveland State University, 44115, Cleveland, OH, U.S.A.

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    1. R. S. R. Gorla
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    Gorla, R.S.R. Mixed convection boundary layer flow of a micropolar fluid on a horizontal plate. Acta Mechanica 108, 101–109 (1995). https://doi.org/10.1007/BF01177331

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    • DOI: https://doi.org/10.1007/BF01177331

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