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Finite difference analysis of mass transfer effects on flow past an impulsively started infinite vertical plate in dissipative fluid and constant heat flux

Untersuchung des durch Stoffübergang bewirkten Einflusses auf das Strömungsfeld um eine plötzlich in Bewegung gesetzte, unendlich ausgedehnte senkrechte Platte in einer dissipativen Flüssigkeit bei konstantem Wärmestrom mit Hilfe eines Differenzverfahrens

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Abstract

A finite-difference solution to the flow past an impulsively started infinite vertical plate is derived by assuming 1) presence of species concentration like water vapour, CO2 etc. and 2) constant heat flux at the plate. The velocity and the temperature profiles, the skin-friction and the rate of heat transfer are shown graphically. The effects of the modified Grashof number,Gm, the Eckert numberE, the Schmidt numberSc on the flow of air are discussed.

Zusammenfassung

Es wird eine Differenzenlösung für die Strömung um eine plötzlich in Bewegung gesetzte, unendlich ausgedehnte senkrechte Platte hergeleitet, wobei folgende Annahmen zugrunde liegen:

  1. 1.

    Anwesenheit von anderen Gasen in gewisser Konzentration (CO2, Wasserdampf, etc.)

  2. 2.

    Konstanter Wärmefluß an der Platte

Geschwindigkeits- und Temperaturprofile, Widerstandsbeiwerte und Nusselt-Zahlen sind graphisch dargestellt. Die Einflüsse der modifizierten Grashof-ZahlGm, der Eckert-ZahlE und der Schmidt-ZahlSc auf die Strömung werden diskutiert.

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Abbreviations

C′:

species concentration near the plate

C′:

species concentration in the fluid far away from the plate

C ′∞ :

species concentration at the plate

c p :

specific heat at constant pressure

D :

chemical molecular diffusivity

E :

Eckert number

Gr :

Grashof number

Gm :

modified Grashof number

g :

acceleration due to gravity

k :

thermal conductivity

Nu :

Nusselt number

Pr :

Prandtl number

q :

constant heat flux

Sc :

Schmidt number

T′:

temperature of the fluid near the plate

T ′∞ :

temperature of the fluid far away from the plate

t′:

time

u′:

velocity in thex′-direction

U 0 :

velocity of the plate

x′:

coordinate axis along the plate

y′:

coordinate axis normal to the plate

β:

coefficient of volume expansion

β* :

coefficient of species expansion

V :

kinematic viscosity

ρ:

density

μ:

viscosity

ρ:

skin-friction

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Authors and Affiliations

  1. Department of Mathematics, Gauhati University, 781014, Guwahat, India

    J. N. Das & S. N. Ray

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

    V. M. Soundalgekar

Authors
  1. J. N. Das
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  2. S. N. Ray
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  3. V. M. Soundalgekar
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Das, J.N., Ray, S.N. & Soundalgekar, V.M. Finite difference analysis of mass transfer effects on flow past an impulsively started infinite vertical plate in dissipative fluid and constant heat flux. Heat and Mass Transfer 30, 155–158 (1995). https://doi.org/10.1007/BF01476524

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  • DOI: https://doi.org/10.1007/BF01476524

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