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Heat and Mass Transfer

, Volume 31, Issue 5, pp 329–331 | Cite as

Transient free convection flow between two vertical parallel plates

  • A. K. Singh
  • H. R. Gholami
  • V. M. Soundalgekar
Originals

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.

Keywords

Convection Apply Physic Parallel Plate Free Convection Convection Flow 
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.

Nomenclature

cp

specific heat

d

distance between two plates

g

acceleration due to gravity

Gr

Grashof number

K

Thermal conductivity

Nu0,Nu1

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

Greek symbols

β

thermal expansion coefficient

ν

kinematic viscosity

μ

viscosity

θ

dimensionless temperature

τ0

dimensionless skin-friction at the platey=0

τ1

dimensionless skin-friction at the platey=1

τ0

dimensionless skin-friction at the platey=0

Instationäre freie Konvektionsströmung zwischen zwei unendlich ausgedehnten, vertikalen Parallelplatten

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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References

  1. 1.
    Aung, W.: Fully-developed free convection between vertical plates heated asymmetrically. Int. J. Heat Mass Transfer 15 (1972) 1577–1580Google Scholar
  2. 2.
    Aung, W.;Worku, G.: Theory of fully developed, combined convection including flow reversal. ASME, Int. J. Heat Mass Transfer 108 (1986) 485–488Google Scholar
  3. 3.
    Ostrach, S.: Combined natural and forced convection laminar heat sources in channels with linearly varying wall temperature. NASA, TN 3141 (1954)Google Scholar
  4. 4.
    Singh, A.K.: Natural convection in unsteady Couette motion. Def. Sci. J. 38 (1988) 35–41Google Scholar

Copyright information

© Springer-Verlag 1996

Authors and Affiliations

  • A. K. Singh
    • 1
  • H. R. Gholami
    • 1
  • V. M. Soundalgekar
    • 2
  1. 1.A. K. Singh, Hamid R. Gholami Department of Mathematics Faculty of ScienceBanaras Hindu UniversityVaranasiIndia
  2. 2.V. M. Soundalgekar 31A-12Brindavan SocietyThaneIndia

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