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Mixed convection in an axisymmetric stagnation flow on a vertical cylinder

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Summary

An analysis is presented to study the mixed convection in an axisymmetric stagnation flow over a vertical cylinder with arbitrary temperature variations. Numerical solutions are given for the governing momentum and energy equations Two flow regions, namely, the buoyancy-assisted and buoyancy-opposed cases are analyzed. It is observed that the friction factor and Nusselt number increase or decrease with the buoyancy force parameter depending upon which flow regime is being considered. The effect of the Prandtl number on the flow field in both the flow regimes is discussed.

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Abbreviations

A :

constant used in Eq. (5)

a :

radius of cylinder

f :

velocity profile function

Gr:

Grashoff number

h :

heat transfer coefficient

k :

thermal conductivity

Nuz :

local Nusselt number (hz/k)

Pr:

Prandtl number

p :

pressure

q w :

heat flux at the wall

Re:

Reynolds number (Aa 2/2v)

r :

co-ordinate normal to the cylindrical surface

T :

temperature

u :

velocity component inr-direction

w :

velocity component inz-direction

z :

co-ordinate parallel to the wall

η:

dimensionless co-ordinate

θ:

dimensionless temperature

μ:

dynamic viscosity

v :

kinematic viscosity

p :

fluid density

w :

surface conditions

∞:

conditions far away from the surface

References

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Author notes

  1. R. S. R. Gorla

    Present address: Department of Mechanical Engineering, Cleveland State University, 44115, Cleveland, OH, USA

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    1. R. S. R. Gorla
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    Gorla, R.S.R. Mixed convection in an axisymmetric stagnation flow on a vertical cylinder. Acta Mechanica 99, 113–123 (1993). https://doi.org/10.1007/BF01177239

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    • DOI: https://doi.org/10.1007/BF01177239

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