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Journal of Thermal Analysis and Calorimetry

, Volume 136, Issue 4, pp 1795–1806 | Cite as

Optimization of heat transfer and pressure drop in a tube with loose-fit perforated twisted tapes by Taguchi method and grey relational analysis

  • Sibel GunesEmail author
  • Ercan Senyigit
  • Ersin Karakaya
  • Veysel Ozceyhan
Article

Abstract

This work introduces the determination of the optimum values of the design parameters in a tube with loose-fit perforated twisted tapes. The effects of the design parameters such as twist ratio (y/D), width ratio (W/D), hole diameter ratio (d/D) and Reynolds number (Re) on heat transfer (i.e. Nusselt number) and pressure drop (i.e. friction factor) were analyzed by Taguchi method (TM) and grey relational analysis (GRA). The Nusselt number and friction factor were taken into account as performance parameters. Taguchi Method is based on analysis of variances and implements the orthogonal arrays for experimental design. L16 orthogonal array was selected as experimental plan. Firstly, each performance parameter was optimized, independently. Then, all the performance parameters were optimized together by TM and GRA. According to the experimental plan results, the most important factor for both Nusselt number and friction factor is Reynolds number, while the least significant factors are twist ratio (y/D) and width ratio (W/D).

Keywords

Taguchi method Grey relational analysis Twisted tape Heat transfer Friction factor 

List of symbols

cp

Specific heat capacity of air (J kg−1 K−1)

Crp

Grey relational coefficients

d

Hole diameter (m)

D

Inner diameter of the tube (m)

Do

Outer diameter of the tube (m)

erp

The rth response variable among p experiments

f

Friction factor

Gr

Grey relational grade

h

Heat transfer coefficient (W m−2 K−1)

I

Current (A)

k

Thermal conductivity (W m−1 K−1)

L

Length of the test tube (m)

\(\dot{m}\)

Air mass flow rate (kg s−1)

Maxerp

The largest value of erp

Minerp

The smallest value of erp

n

The count of iterations in confirmation of experiments

Nrp

The normalized value rth response variable in the pth experiment

Nr

The ideal normalized value

Nu

Nusselt number

P

Pressure drop (Pa)

Re

Reynolds number

Q

Heat transfer (W)

q

Heat flux (W m−2)

t

Thickness of the test tube (m)

T

Steady state temperature (K)

U

Fluid velocity (m s−1)

V

Voltage (V)

W

Twisted tape width (m)

y

Twist length of twisted tape (m)

Y

The achievement amount of ith observation

Z

Achievement statistic

Greek letters

ρ

Fluid density (kg m−3)

δ

Thickness of twisted tape (m)

\(\nu\)

Fluid kinematic viscosity (m2 s−1)

Subscripts

b

Bulk

i

Inner

ins

Insulated test tube

iw

Inner wall of test tube

m

Mean

o

Outer

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Copyright information

© Akadémiai Kiadó, Budapest, Hungary 2018

Authors and Affiliations

  • Sibel Gunes
    • 1
    Email author
  • Ercan Senyigit
    • 2
  • Ersin Karakaya
    • 1
  • Veysel Ozceyhan
    • 1
  1. 1.Department of Mechanical Engineering, Faculty of EngineeringErciyes UniversityKayseriTurkey
  2. 2.Department of Industrial Engineering, Faculty of EngineeringErciyes UniversityKayseriTurkey

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