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Research Papers: Heat Transfer Enhancement

# Sensitivity Analysis of a Heat Exchanger Tube Fitted With Cross-Cut Twisted Tape With Alternate Axis

[+] Author and Article Information
M. E. Nakhchi

School of Mechanical Engineering,
Sharif University of Technology,
Tehran 11155-9567, Iran

J. A. Esfahani

Department of Mechanical Engineering,
e-mail: abolfazl@um.ac.ir

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received October 12, 2018; final manuscript received January 30, 2019; published online February 27, 2019. Assoc. Editor: Danesh K. Tafti.

J. Heat Transfer 141(4), 041902 (Feb 27, 2019) (8 pages) Paper No: HT-18-1666; doi: 10.1115/1.4042780 History: Received October 12, 2018; Revised January 30, 2019

## Abstract

Numerical simulations are used to analyze the thermal performance of turbulent flow inside heat exchanger tube fitted with cross-cut twisted tape with alternate axis (CCTA). The design parameters include the Reynolds number $(5000, cross-cut width ratio $(0.7, cross-cut length ratio $(2, and twist ratio $(2. The objective functions are the Nusselt number ratio $(Nu/Nus)$, the friction factor ratio $(f/fs)$, and the thermal performance $(η)$. Response surface method (RSM) is used to construct second-order polynomial correlations as functions of design parameters. The regression analysis shows that heat transfer ratio decreased with increasing both the Reynolds number and the width to diameter ratio of the twisted tape. This means that the twisted tape has more influence on heat transfer at smaller inlet fluid velocities. Sensitivity analysis reveals that among the effective input parameters, the sensitivity of $Nu/Nus$ to the Reynolds number is the highest. The results reveal that thermal performance enhances with increasing the width to diameter ratio of the twisted tape $(b/D)$. The maximum thermal performance factor of 1.531 is obtained for the case of $Re=5000, b/D=0.9, s/D=2.5$, and $y/D=4$.

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## Figures

Fig. 1

Schematic view of 3D tube enhanced with CCTA

Fig. 2

Grid generation for the computational domain

Fig. 3

Grid independence test

Fig. 4

Generation of design points in a central composite RSM design with three factors

Fig. 5

Contour plot of temperature and streamlines with cross-cut twisted tape inserts for Re =10,000, b/D = 0.7, s/D = 2, and y/w = 3

Fig. 6

Temperature contours with tangential velocity vectors at z =180 mm with cross-cut twisted tape inserts with alternate axis for different width ratios at Re = 10,000 and y/D = 3: (a) b/D = 0.7, s/D = 2 and (b) b/D = 0.9, s/D = 2

Fig. 7

Pressure contours of the tube fitted with the cross-cut twisted tapes with alternate axis with different width ratios at Re = 10,000 and y/D = 3 at the tube inlet: (a) b/D = 0.7, s/D = 2 and (b) b/D = 0.9, s/D = 2

Fig. 8

Contour plots of turbulent kinetic energy field in tube inserted with cross-cut twisted tapes with alternate axis with different width ratios at Re = 10,000, y/D=3: (a) b/D = 0.7, s/D = 2 and (b) b/D = 0.9, s/D = 2

Fig. 9

The sensitivity of Nu/Nus to different input parameters for Re =10,000, b/D = 0.8, y/D = 3

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