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Heat Transfer Suppression in Flow Around a Rotating Circular Cylinder at High Prandtl Number

  • Research Article - Mechanical Engineering
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Abstract

Forced convection heat transfer across a 2D circular cylinder rotating at constant speed is investigated. Numerical simulations are carried out at constant values of Reynolds number in the range of 80–160. The non-dimensional rotation rate, α, is examined up to a maximum value of 5.3 for Prandtl number (Pr) 7. At constant Reynolds number, heat transfer suppression kicks off even at lower rotation rates contrary to the systems with lower values of Pr. Moreover, the heat transfer suppression parameter in such cases saturates at almost the double value at intermediate rotation rates as compared to the systems with low Pr.

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Abbreviations

c p :

Specific heat of the fluid [J kg−1 K −1]

C D :

Total drag coefficient (C D = C DP + C DV)

C DP :

Pressure drag coefficient \({(=F_{\rm DP} /\frac{1}{2}\rho u_\infty ^2)}\)

\({C_{\rm D\nu}}\) :

Viscous drag coefficient \({(=F_{\rm DV} /\frac{1}{2}\rho u_\infty ^2)}\)

C L :

Total lift coefficient \({(C_{\it L} =C_{\rm LP} +C_{\rm LV})}\)

C LP :

Pressure lift coefficient \({(=F_{\rm LP} /\frac{1}{2}\rho u_\infty ^2 )}\)

\({C_{\rm L\nu}}\) :

Viscous lift coefficient \({(=F_{\rm LV} /\frac{1}{2}\rho u_\infty ^2)}\)

D :

Diameter of the circular cylinder (m)

\({\bar{h}}\) :

Local heat transfer coefficient (Wm−2 K−1)

h :

Average heat transfer coefficient (Wm−2 K−1)

k :

Thermal conductivity of fluid (Wm−1 K−1)

ω :

Constant angular velocity of cylinder surface

Nu :

Average Nusselt number (= hD/k) (−)

\({\overline{\it Nu}}\) :

Time-averaged local Nusselt number

Pr :

Prandtl number (−)

P :

Non-dimensional pressure \({(=p^{\ast}/pU_\infty ^2 )}\), (−)

p*:

Pressure (Pa)

Re :

Reynolds number (= pU ∞ D/μ), (−)

t :

Time (s)

T ∞ :

Temperature of the fluid at the inlet (K)

T w :

Constant wall temperature at the surface of cylinder

U :

Non-dimensional stream-wise velocity (= u/U ∞), (−)

U ∞ :

Free-stream velocity (ms−1)

u :

Stream-wise velocity (ms−1)

V :

Non-dimensional cross stream velocity (= v/U ∞)

v :

Cross-stream velocity (ms−1)

x :

Stream-wise dimension of coordinates (m)

X:

Non-dimensional stream-wise dimension of coordinates (= x/D)

Y:

Non-dimensional cross-stream dimension of co-ordinates (= y/D)

φ :

Angle measure in clockwise direction

α :

Non-dimensional rotation rate

θ :

Non-dimensional temperature (\({=\frac{T-T_\infty }{T_w -T_\infty }}\))

\({\rho}\) :

Density of fluid

μ :

Viscosity of fluid

\({\tau}\) :

Non-dimensional time (\({=\frac{tU_\infty }{D}}\))

w:

Surface of the cylinder

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Authors and Affiliations

  1. Department of Mechanical Engineering, University of Engineering and Technology, Taxila, Pakistan

    M. Sufyan & S. Manzoor

  2. Department of Mechanical Engineering, Muhammad Ali Jinnah University, Islamabad, Pakistan

    N. A. Sheikh

Authors
  1. M. Sufyan
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  2. S. Manzoor
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  3. N. A. Sheikh
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Correspondence to S. Manzoor.

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Sufyan, M., Manzoor, S. & Sheikh, N.A. Heat Transfer Suppression in Flow Around a Rotating Circular Cylinder at High Prandtl Number. Arab J Sci Eng 39, 8051–8063 (2014). https://doi.org/10.1007/s13369-014-1337-7

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