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Stagnation point heat transfer augmentation due to free stream turbulence

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Abstract

A model has been proposed for the momentum eddy diffusivity induced by free stream turbulence intensity and integral length scale. The eddy diffusivity model is applied to the stagnation point of a cylinder situated in a uniform crossflow in the presence of free stream turbulence. A numerical solution of the governing momentum and energy equations with the proposed eddy diffusivity model yielded results for the skin friction coefficient and the Nusselt number. The numerical predictions of the present work are compared with experimental data and the agreement between the two is seen to be very good.

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Abbreviations

C f :

skin friction coefficient τ w/(1/2 ρU 2Г )

D :

diameter of cylinder

K :

thermal conductivity

L x :

integral length scale of free stream turbulence

L :

dimensionless integral length scale defined in equation (17)

Nu:

Nusselt number (hD/k)

Pr t :

turbulent Prandtl number (ε m/ε n)

q :

heat flux rate

Re:

Reynolds number (U Г D/v)

T :

temperature

Tu:

turbulence intensity (u′/u Г)

u, v :

velocity components

u′ :

rms velocity fluctuation

U e :

free stream velocity

x :

coordinate in streamwise direction

y :

coordinate normal to the surface

z :

coordinate in spanwise direction normal to both x and y

ρ :

density

α :

thermal diffusivity

η :

dimensionless distance

λ :

dimensionless roll cell wavelength function

ε m, ε h :

momentum and thermal eddy diffusivities respectively

τ w :

wall shear stress

w :

wall conditions

∞:

ambient conditions

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Authors and Affiliations

  1. Department of Mechanical Engineering, Cleveland State University, 44115, Cleveland, OH, USA

    Rama Subba Reddy Gorla

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  1. Rama Subba Reddy Gorla
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Gorla, R.S.R. Stagnation point heat transfer augmentation due to free stream turbulence. Appl. Sci. Res. 39, 143–153 (1982). https://doi.org/10.1007/BF00457016

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  • DOI: https://doi.org/10.1007/BF00457016

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