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Flow and heat transfer over a longitudinal circular cylinder moving in parallel or reversely to a free stream

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Summary

Steady laminar boundary layer flow and heat transfer over a thin longitudinal isothermal circular cylinder moving in a flowing stream has been studied in this paper. The cases in which the cylinder is moving in the same (parallel) or in the opposite (reverse) direction to the free stream are considered. The transformed nonsimilar boundary layer equations are solved numerically using the Keller-box method for some values of the curvature parameter, the Prandtl number and relative velocity parameter. The results show that the velocity and temperature distributions as well as the coefficients of skin friction and the local Nusselt number are appreciably affected by the relative velocity parameter.

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Abbreviations

C f :

skin friction coefficient

f :

reduced stream function

k :

thermal conductivity

Nu:

Nusselt number

Pr:

Prandtl number

q :

heat transfer

r o :

radius of the cylinder

r :

radial coordinate

Re:

Reynolds number

T :

temperature

x :

axial coordinate

u, v :

velocity component inx- andr-directions

ξ:

curvature parameter

η:

pseudo-similarity variable

θ:

dimensionless temperature

λ:

relative velocity parameter

μ:

dynamic viscosity

ν:

kinematic viscosity

τ:

skin friction

ϱ:

density

ψ:

stream function

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Author notes

  1. T. -Y. Na

    Present address: Department of Mechanical Engineering, University of Michigan-Dearborn, 48128-1491, Dearborn, MI, U.S.A.

  2. I. Pop

    Present address: Faculty of Mathematics, University of Cluj, R-3400, Cluj, CP 253, Romania

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    1. T. -Y. Na
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    2. I. Pop
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    Na, T.Y., Pop, I. Flow and heat transfer over a longitudinal circular cylinder moving in parallel or reversely to a free stream. Acta Mechanica 118, 185–195 (1996). https://doi.org/10.1007/BF01410516

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