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Mixed convection boundary layer flow on a continuous flat plate with variable viscosity

Grenzschichtströmung entlang einer ebenen Platte bei Mischkonvektion und variabler Viskosität

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Abstract

The influences of variable viscosity and buoyancy force on laminar boundary layer flow and heat transfer due to a continuous flat plate are examined. The deviation of the velocity and temperature fields as well as of the skin friction and heat transfer results from their constant values are determined by means of similarity solutions.

Zusammenfassung

Der Einfluß veränderlicher Viskosität sowie des Auftriebs auf die laminare Grenzschichtströmung und den Wärmeübergang an einer ebenen Platte werden untersucht. Die Abweichungen der Geschwindigkeits- und Temperaturfelder sowie der Reibungsbeiwerte und der Wärmeübergangskoeffizienten von den Ergebnissen für konstante Stoffwerte lassen sich mit Hilfe von Ähnlichkeitslösungen bestimmen.

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Abbreviations

a :

constant used in Eq. (2)

C f :

skin friction coefficient

f :

dimensionless stream function

k :

thermal conductivity

Nu :

local Nusselt number

q :

heat transfer

Re :

Reynolds number

T :

temperature

T r :

transformed reference temperature

u, ν :

velocity components

U :

free stream velocity

x,y :

Cartesian coordinates

α :

thermal diffusivity

β :

coefficient of thermal expansion

γ :

constant used in Eq. (1)

τ :

shear stress

η :

similarity variable

θ :

dimensionless temperature

θv r :

transformed dimensionless reference temperature

μ :

dynamic viscosity

ν :

kinematic viscosity

ρ :

density

ψ :

stream function

w :

condition at the wall

∞ :

property related to reference state

References

  1. Sparrow, E.M.;Minkowycz, W.J.: Int. J. Heat Mass Transfer 5 (1962) 505–511

    Google Scholar 

  2. Hauptmann, E.G.: Int. J. Heat Mass Transfer 8 (1965) 289–295

    Article  MATH  Google Scholar 

  3. Redekopp, L.G.;Charwat, A.F.: J. Hydronautics 6 (1972) 34–39

    Google Scholar 

  4. Hieber, C.A.: Int. J. Heat Mass Transfer 16 (1973) 769–785

    Article  MATH  Google Scholar 

  5. Wang, T.Y.; Kleinstreuer, C.: J. Heat Transfer (1988)

  6. Gorla, R.S.R.;Rashidi, M.: Int. J. Eng. Sci. 30 (1992) 1–6

    Article  Google Scholar 

  7. Herwig, H.;Gersten, K.: Warme-Staffübertr. 20 (1986) 47

    Google Scholar 

  8. Lai, F.C.;Kulacki, F.A.: Int. J. Heat Mass Transfer 33 (1990) 1028

    Google Scholar 

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Authors and Affiliations

  1. Mathematics Department, Faculty of Science, Assuit University, Assuit, Egypt

    F. M. Hady & A. Y. Bakier

  2. Cleveland State University, 44115, Cleveland, Ohio, USA

    R. S. R. Gorla

Authors
  1. F. M. Hady
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  2. A. Y. Bakier
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  3. R. S. R. Gorla
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Hady, F.M., Bakier, A.Y. & Gorla, R.S.R. Mixed convection boundary layer flow on a continuous flat plate with variable viscosity. Heat and Mass Transfer 31, 169–172 (1996). https://doi.org/10.1007/BF02333315

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  • DOI: https://doi.org/10.1007/BF02333315

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