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Impact of an Elastic Wall on Thermo-Flow Behavior Around a Cylinder Within a Channel

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Abstract

The fluid–solid interaction of forced convective flow around a circular cylinder within a channel is investigated. All the channel surfaces are insulated, and the cylinder has heat transfer with the cold passing flow at a constant temperature. The lower surface of the channel is rigid, while the upper part is elastic. Crossing the flow into the hot surface and vibrating the elastic shell cause the heat transfer rate and the drag coefficient of the cylinder to change. The changes depend on the vibration conditions of the elastic oscillator. It was found that the location of the elastic surface, vibrational amplitude, and frequency are the most significant factors affecting the exit flow temperature of the channel. The variation of main parameters (elastic surface location, amplitude, and frequency) which affect the flow pattern was investigated. Studies at five different Reynolds show that replacing the elastic wall on the cylinder upstream has a more significant effect on increasing heat transfer than the cylinder downstream. The results also indicate a growth in the average Nusselt number and drag coefficient by rising the vibrational amplitude and frequency.

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Abbreviations

D :

Diameter (m)

d :

Displacement vector

E :

Young modules (N/m2)

F :

Weight force (N)

A :

Area (m2)

H :

Channel height (m)

h :

Convection heat transfer coefficient \(\left( {\frac{{\text{W}}}{{{\text{m}}^{2} \;{\text{K}}}}} \right)\)

k :

Conduction heat transfer coefficient \(\left( {\frac{{\text{W}}}{{{\text{m}}\;{\text{K}}}}} \right)\)

L :

Channel length (m)

Nu:

Nusselt number

P :

Pressure (pa)

Δp :

Pressure drop (pa)

Re:

Reynolds number

T :

Temperature (K)

t :

Time (s)

C d :

Cylindrical drag coefficient

u :

Velocity in x-direction \(\left( {\frac{{\text{m}}}{{\text{s}}}} \right)\)

v :

Velocity in y-direction \(\left( {\frac{{\text{m}}}{{\text{s}}}} \right)\)

V :

Velocity vector \(\left( {\frac{{\text{m}}}{{\text{s}}}} \right)\)

q :

Transfer heat flux \(\left( {\frac{{\text{W}}}{{{\text{m}}^{2} }}} \right)\)

τ :

Shear stress (Pa)

α :

Thermal diffusivity \(\left( { \frac{{{\text{m}}^{2} }}{{\text{s}}}} \right)\)

ρ :

Density \(\left( {\frac{{{\text{kg}}}}{{{\text{m}}^{3} }}} \right)\)

µ :

Dynamic viscosity (Pa.s)

σ :

Cauchy stress tensor (Pa

in:

Input

out:

Output

f:

Fluid

s:

Solid

x:

Local

av:

Mean

h:

Hydraulic

c:

Cylindrical

e:

Elastic

t:

Total

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Authors and Affiliations

  1. Mechanical Engineering, University of Tabriz, Tabriz, Iran

    Hojjat Danandeh Oskuei

  2. Faculty of Mechanical Engineering, University of Tabriz, Tabriz, Iran

    Seyed Esmail Razavi & Seyed Faramarz Ranjbar

Authors
  1. Hojjat Danandeh Oskuei
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  2. Seyed Esmail Razavi
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  3. Seyed Faramarz Ranjbar
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Correspondence to Hojjat Danandeh Oskuei.

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Danandeh Oskuei, H., Razavi, S.E. & Ranjbar, S.F. Impact of an Elastic Wall on Thermo-Flow Behavior Around a Cylinder Within a Channel. Iran J Sci Technol Trans Mech Eng 46, 1275–1287 (2022). https://doi.org/10.1007/s40997-021-00476-8

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