Heat and Mass Transfer

, Volume 54, Issue 5, pp 1467–1475 | Cite as

Correlations for heat transfer coefficient and friction factor for turbulent flow of air through square and hexagonal ducts with twisted tape insert

  • Rupesh J. Yadav
  • Sandeep S. Kore
  • Prathamesh S. Joshi
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Abstract

The experimental and numerical Nusselt number and friction factor investigation for turbulent flow through a non-circular duct with twisted-tape inserts have been presented. The non-circular ducts include square, hexagonal duct. The results of non-circular ducts are compared with circular duct. All the ducts have same equivalent diameter. The twist ratios used for the experiment are Y = 3.5, 4.5, 5.5 and 6.5. Experiments were carried out on square duct, hexagonal duct and circular duct. The Reynolds number lied between 10,000 and 1, 05,000. The present study is restricted to the flow of air at Pr = 0.7 only and within a narrow temperature range of 40 to 75 ΟC, within which the compressible nature of air can be neglected. The results reveal that, both Nusselt number and friction factor increases as the side of non-circular duct increases. Maximum Nusselt number and friction factor is obtained in case of circular duct with twisted tape. Further the correlations of Nu and f are given for different non circular duct with twisted tape insert for engineering applications for the turbulent regime. Since the thermal performance factor (η) is observed to be within the range of 0.8 to 1.13 for both circular and noncircular ducts, the overall benefit of using twisted tape in the flow field shall nevertheless be marginal.

Nomenclature

A

Area (m2)

C1….C16

Constants

Cd

Coefficient of discharge for Orifice Meter

Cφ

Constant

D

Width of twisted tape (m)

Dh

Equivalent Diameter for Noncircular duct (m)

Di

Inner diameter of duct (m)

Do

Outer diameter of duct (m)

El

Entrance length (m)

f

Friction factor for overall range of Reynolds number

g

Acceleration due to gravitation (m/s2)

h

Heat transfer coefficient (W/m2 K)

Ha

Height of air column (m)

Hw

Height of water column (m)

H

Helical pitch of the twisted tape for 180° twist (m)

k

Thermal conductivity (W/m K)

L

Length of test section (m)

Mass flow rate (kg/s)

n

Number of sides of duct

Nu

Nusselt number

ΔP

Pressure drop (Pa)

Pr

Prandtl Number

Q

Rate of heat transfer (W)

Re

Reynolds Number

S

Side length of duct (m)

T

Temperature (K)

V

Velocity of air (m/s)

Y

Twist ratio (H/D)

TT’s

Twisted tape inserts

Greek Symbols

α

Thermal diffusivity (m2/s)

ρ

Density (kg/m3)

μ

Dynamic viscosity (kg/m s)

ν

Kinematic viscosity (m2/s)

δ

Thickness of twisted tape (m)

Subscript

0

Plain tube

a

Air

bi

Bulk in

bm

Bulk mean

bo

Bulk out

conv

Convection

cs

Cross section

d

Discharge

h

Hydraulic

hc

Heat conducted

L

Laminar

s

Surface

T

Turbulent

w

Water

wm

Wall mean

Notes

Compliance with ethical standards

Conflict of interest

We wish to confirm that there are no known conflicts of interest associated with this publication and there has been no significant financial support for this work that could have influenced its outcome.

We confirm that the manuscript has been read and approved by all named authors and that there are no other persons who satisfied the criteria for authorship but are not listed. We further confirm that the order of authors listed in the manuscript has been approved by all of us.

We confirm that we have given due consideration to the protection of intellectual property associated with this work and that there are no impediments to publication, including the timing of publication, with respect to intellectual property. In so doing we confirm that we have followed the regulations of our institutions concerning intellectual property.

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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2017

Authors and Affiliations

  • Rupesh J. Yadav
    • 1
  • Sandeep S. Kore
    • 2
  • Prathamesh S. Joshi
    • 3
  1. 1.Marathwada Mitra Mandal’s College of EngineeringSPPU UniversityPuneIndia
  2. 2.Sinhgad Academy of EngineeringSPPU UniversityPuneIndia
  3. 3.MIT College of EngineeringSPPU UniversityPuneIndia

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