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Heat transfer in an axisymmetric stagnation flow on a cylinder


An analysis is presented for the steady state heat transfer in an axisymmetric stagnation flow on an infinite circular cylinder. Boundary layer solutions are given for constant wall temperature and constant wall heat flux boundary conditions. Numerical results for the temperature distribution and solutions for the wall values of the temperature function have been tabulated. The range of Prandtl numbers considered was from 0.01 to 1000 while the Reynolds number was varied from 0.01 to 100.

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constant used in Equation (5)

a :

radius of cylinder

f :

velocity profile function

h :

heat transfer coefficient

k :

thermal conductivity

Nu z :

local Nusselt number (hz/k)

Pr :

Prandtl number

P :


q w :

heat flux at the wall

Re :

Reynolds number (Aa 2/2ν)

r :

co-ordinate normal to the cylindrical surface

T :


u :

velocity component in r-direction

w :

velocity component in z-direction

z :

co-ordinate parallel to the wall

η :

dimensionless co-ordinate

θ :

dimensionless temperature

μ :

dynamic viscosity

ν :

kinematic viscosity

ρ :

fluid density


conditions at the wall


conditions far away from the wall


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Reddy Gorla, R.S. Heat transfer in an axisymmetric stagnation flow on a cylinder. Appl. Sci. Res. 32, 541–553 (1976).

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  • Heat Transfer
  • Boundary Layer
  • Heat Flux
  • Reynolds Number
  • Prandtl Number