Advertisement

Temperature distribution in a laminar plane wall jet due to variably heated wall

  • S S Tak
  • J L Bansal
Article
  • 27 Downloads

Abstract

The heat transfer in a laminar incompressible plane wall jet due to a variably heated wall has been studied. It is assumed that the difference of temperatures between the wall and the issuing jet is inversely proportional to an arbitrary exponent of the distance from the slit. A similar solution of the energy equation is possible. The solutions, for arbitrary values of the Prandtl number and of the exponent are obtained. It is found that in some cases the heat transfer at the wall may become zero or negative.

Keywords

Jet flow viscous incompressible flow heat transfer 

List of symbols

cp

specific heat at constant pressure

Nu(x)

local nusselt number

Res

local Reynolds number

T

temperature of the fluid in the boundary layer

Tw(x)

temperature distribution (function ofx) at the wall

T

temperature of the fluid at rest

u, v

velocity components along and normal to the plane wall respectively

x, y

rectangular coordinates along and normal to the plane wall respectively

η

similarity variable

θ

difference temperature in boundary layer=(TT )

χ

coefficient of thermal conductivity

ν

coefficient of kinematic viscosity

σ

Prandtl number

μ

coefficient of viscosity

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    Akatnow N I 1953Trudy Leningr. Polytekh. Inst. Maschgis. Nr.5 24.Google Scholar
  2. [2]
    Bansal J L 1978Viscous fluid dynamics (Calcutta: Oxford and IBH) p. 83Google Scholar
  3. [3]
    Bansal J L and Tak S S 1976Proc. Indian Acad. Sci. A33 1Google Scholar
  4. [4]
    Bansal, J L and Tak S S 1978Ind. J. Pure Appl. Math. (in press)Google Scholar
  5. [5]
    Glauert M B 1956J. Fluid Mech. 1 625CrossRefMathSciNetGoogle Scholar
  6. [6]
    Riley N 1958J. Fluid Mech. 4 615MATHCrossRefMathSciNetGoogle Scholar
  7. [7]
    Schlichting H 1968Boundary layer theory (New York: McGraw-Hill)Google Scholar
  8. [8]
    Tak S S and Bansal J L 1976Appl. Sci. Res. Netherlands (Communicated).Google Scholar

Copyright information

© Indian Academy of Sciences 1979

Authors and Affiliations

  • S S Tak
    • 1
  • J L Bansal
    • 1
  1. 1.Department of MathematicsUniversity of JodhpurJodhpur

Personalised recommendations