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Experimental study of non-Newtonian fluid flow inside the corrugated tube inserted with typical and V-cut twisted tapes

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Abstract

In present paper has been investigated heat transfer and friction factor characteristics of non-Newtonian base fluid flow through corrugated tube that equipped with various twisted tapes (typical twisted tape (TT) and V-cut twisted tape (VTT)) under constant heat flux density. Base fluid was 0.2 wt.%. carboxymethyl cellulose (CMC) solution, according to the rheological study, the base fluid exhibited pseudoplastic (shear thinning) behavior. The experiments are performed in Reynolds number from 2400 to 6800 with two types of twisted tapes (TT and VTT) and with different twisted ratios (y = 4.5 and 6.07) and three different combinations of depth and width ratios (DR = 0.5 and WR = 0.285, DR = 0.5 and WR = 0.5, DR = 0.285 and WR = 0.5) of twisted tapes. For all experiments with increasing Reynolds number, the Nusselt number increased in while the friction factor decreased and also the maximum thermal performance factor of 1.59 achieved with the use of the VTT with (DR = 0.5 and WR = 0.285) at a twist ratio of 4.5 and Reynolds number of 2400. The new empirical correlations proposed to predict the Nusselt number, friction factor for non-Newtonian fluid flow and compared with experimental data. The results showed that satisfactory agreement between the present correlations and obtained experimental data.

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Abbreviations

Cp :

Specific heat capacity (\( \frac{\mathrm{W}}{\mathrm{kg}.{}^{{}^{\circ}}\mathrm{C}}\Big) \)

D:

Diameter of tube (mm)

Dc :

Depth of cut (mm)

Do :

External diameter (mm)

Di :

Internal diameter (mm)

\( \left(\frac{\mathrm{e}}{\mathrm{D}}\right) \) :

Height ratio in corrugated tube

f:

Friction factor

H:

Pitch length of twisted tape (mm)

havg :

Average heat transfer coefficient\( \left(\frac{\mathrm{W}}{{\mathrm{m}}^2.\mathrm{C}}\right) \)

K:

Thermal conductivity of fluid (\( \frac{\mathrm{W}}{\mathrm{m}.{}^{{}^{\circ}}\mathrm{C}} \))

L:

Tube length (mm)

\( \overset{\cdot }{\mathrm{m}} \) :

Mass flow rate (\( \frac{kg}{s} \))

Tin :

Inlet temperature (°C)

Tout :

Outlet temperature (°C)

t:

Twisted tape thickness (mm)

\( \overset{\leftharpoonup }{\mathrm{u}} \) :

Average velocity (m/s)

V:

Voltage (V)

Wc :

Width of cut (mm)

W:

Width of twisted tape (mm)

y:

Twist ratio (\( \frac{H}{W} \))

m:

Consistency index (Pa sn)

n:

Power Law index

Pi :

Inlet pressure (Pa)

Pe :

Outlet pressure (Pa)

\( \left(\frac{\mathrm{p}}{\mathrm{D}}\right) \) :

Pitch ratio in corrugated tube

\( \overset{\cdot \cdot }{\mathrm{q}} \) :

Heat flux density (\( \frac{W}{m^2} \))

Q1 :

Absorbed heat transfer (W)

Q2 :

Input electrical power (W)

Qavg :

Average heat transfer (W)

R:

Resistance (Ω)

Tw :

Wall temperature (°C)

Tb :

Bulk temperature (°C)

Re:

Reynolds number

Nu:

Nusselt number

Pr:

Prandtl number

DR:

Depth ratio of cut\( \left(\frac{{\mathrm{D}}_{\mathrm{c}}}{\mathrm{W}}\right) \)

exp:

Experimental

Pre:

Predicted

TT:

Typical twisted tape

VTT:

V-cut twisted tape

WR:

Width ratio of cut \( \left(\frac{{\mathrm{W}}_{\mathrm{c}}}{\mathrm{W}}\right) \)

app:

Apparent

avg:

Average

f:

fluid

i:

Internal

MR:

Metzner

o:

Outer

w:

Wall

ρ:

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

μ:

Dynamic viscosity\( \kern0.5em \left(\frac{\mathrm{N}.\mathrm{s}}{{\mathrm{m}}^2}\right) \)

Φ:

Concentration of nanofluid, % by volume

η:

Thermal performance factor

τ:

Shear stress (Pa)

\( \overset{\cdot }{\gamma } \) :

Shear rate (s−1)

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Authors and Affiliations

  1. Department of Mechanical Engineering, University Campus 2, University of Guilan, Rasht, Iran

    Hossein Ghalyanchi Langeroudi

  2. Faculty of Mechanical Engineering, University of Guilan, Rasht, Iran

    Kourosh Javaherdeh

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  1. Hossein Ghalyanchi Langeroudi
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  2. Kourosh Javaherdeh
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Correspondence to Kourosh Javaherdeh.

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Langeroudi, H.G., Javaherdeh, K. Experimental study of non-Newtonian fluid flow inside the corrugated tube inserted with typical and V-cut twisted tapes. Heat Mass Transfer 55, 937–951 (2019). https://doi.org/10.1007/s00231-018-2467-3

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