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Transient free convection flow between two vertical parallel plates

Instationäre freie Konvektionsströmung zwischen zwei unendlich ausgedehnten, vertikalen Parallelplatten

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Abstract

Transient free convection flow between two infinite vertical parallel plates has been investigated and good agreement was found between the results for large values of time and the well known ones for the steady-state problem.

Zusammenfassung

Die instationäre freie Konvektionsströmung zwischen zwei unendlich ausgedehnten Parallelplatten wurde untersucht, wobei die Ergebnisse für große Zeiten gut mit jenen aus der Literatur für rein stationäre Betrachtungsweise bekannten übereinstimmen

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Abbreviations

c p :

specific heat

d :

distance between two plates

g :

acceleration due to gravity

Gr :

Grashof number

K :

Thermal conductivity

Nu 0,Nu 1 :

the Nusselt number aty=0 andy=1 respectively

Pr :

Prandtl number

Q :

non-dimensional mass flux

t :

non-dimensional time

t′:

time

T′:

fluid temperature

T′ w :

temperature of the plate aty′=0

T′ d :

temperature of the palte aty′=d

u :

dimensionless velocity

u′:

velocity of the fluid

y :

non-dimensional coordinate iny′-direction

x′, y′ :

coordinate system

β :

thermal expansion coefficient

ν :

kinematic viscosity

μ :

viscosity

θ :

dimensionless temperature

τ 0 :

dimensionless skin-friction at the platey=0

τ 1 :

dimensionless skin-friction at the platey=1

τ′0 :

dimensionless skin-friction at the platey=0

References

  1. Aung, W.: Fully-developed free convection between vertical plates heated asymmetrically. Int. J. Heat Mass Transfer 15 (1972) 1577–1580

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  2. Aung, W.;Worku, G.: Theory of fully developed, combined convection including flow reversal. ASME, Int. J. Heat Mass Transfer 108 (1986) 485–488

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  3. Ostrach, S.: Combined natural and forced convection laminar heat sources in channels with linearly varying wall temperature. NASA, TN 3141 (1954)

  4. Singh, A.K.: Natural convection in unsteady Couette motion. Def. Sci. J. 38 (1988) 35–41

    Google Scholar 

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Authors and Affiliations

  1. A. K. Singh, Hamid R. Gholami Department of Mathematics Faculty of Science, Banaras Hindu University, 221005, Varanasi, India

    A. K. Singh & H. R. Gholami

  2. V. M. Soundalgekar 31A-12, Brindavan Society, 400601, Thane, India

    V. M. Soundalgekar

Authors
  1. A. K. Singh
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  2. H. R. Gholami
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  3. V. M. Soundalgekar
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Singh, A.K., Gholami, H.R. & Soundalgekar, V.M. Transient free convection flow between two vertical parallel plates. Heat and Mass Transfer 31, 329–331 (1996). https://doi.org/10.1007/BF02184046

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  • DOI: https://doi.org/10.1007/BF02184046

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