Research Papers

Mathematical Modeling of a Long Finned Tube Heating and Cooling in a Multizone Furnace

[+] Author and Article Information
Chao Liang

Heat Transfer Technology R&D,
Praxair, Inc.,
175 East Park Dr.,
Tonawanda, NY 14150

Darshil R. Patel

Heat Transfer Technology R&D,
Praxair, Inc.,
175 East Park Dr.,
Tonawanda, NY 14150

Maulik R. Shelat

Heat Transfer Technology R&D,
Praxair, Inc.,
175 East Park Dr.,
Tonawanda, NY 14150
e-mail: Maulik_Shelat@Praxair.com

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF THERMAL SCIENCE AND ENGINEERING APPLICATIONS. Manuscript received August 14, 2017; final manuscript received May 9, 2018; published online June 25, 2018. Assoc. Editor: Sandip Mazumder.

J. Thermal Sci. Eng. Appl 10(5), 051022 (Jun 25, 2018) (9 pages) Paper No: TSEA-17-1298; doi: 10.1115/1.4040278 History: Received August 14, 2017; Revised May 09, 2018

To support an effort to setup an industrial scale production facility to produce metal substrates coated with porous boiling surface (PBS) coating to enhance boiling heat transfer performance of these metal substrates, an axisymmetric transient heat transfer model with boundary conditions varying both in time and length dimensions has been proposed and solved to obtain the temperature evolution along the inner surface of a long finned tube heating and cooling in a multizone furnace. Experiments for finned tube heating and cooling were conducted using a single-zone batch furnace, and the experimental data obtained were compared with the simulation results to establish reasonable confidence in the proposed model and boundary conditions. A parametric study on several important operating parameters was conducted to gain better insights that can be used in making design and operating decisions. If required, the model can conveniently be extended to other types of substrates and furnace dimensions.

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Fig. 1

Schematic of a multizone continuous furnace

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Fig. 2

(a) Isometric view of the finned tube and (b) cross-sectional view of the finned tube

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Fig. 3

Schematic of side view of the multizone continuous tubular furnace

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Fig. 4

Schematic of cross-sectional view of control volumes with a longitudinal length of Δz

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Fig. 5

Flow chart of the solution procedure

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Fig. 6

Single-zone batch furnace

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Fig. 7

Schematic of thermocouple placement on the tube and inside the furnace

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Fig. 8

Temperature evolution of the tube and single-zone sintering batch furnace: (a) thermocouple temperature readings at furnace position P1 and tube positions P2, P3, and (b) temperature of the tube at P2 and P3 from numerical simulations

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Fig. 9

Temperature evolution of the inner surface at different locations of a 2.44 m (8 ft) long tube with tube travel speed of 1.27 mm/s (0.05 in/s) with a sintering zone temperature of 670 °C: (a) full temperature range (circle: entry of preheat zone, square: entry of sintering zone, diamond: entry of cool-down zone, triangle: exit of cool-down zone) and (b) enlarged view of temperature range of 590 °C–610 °C

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Fig. 10

Temperature evolution of the inner surface at the midpoint of a 2.44 m (8 ft) long tube with tube travel speed of1.27 mm/s (0.05 in/s) with different sintering zone temperatures. (Horizontal dashed lines: target temperature range 590 °C–610 °C; vertical dashed lines: furnace zones)

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Fig. 11

Temperature evolution of the inner surface at the midpoint of a 2.44 m (8 ft) long tube with different travel speeds at a sintering zone temperature of 670 °C. (Horizontal dashed lines: target temperature range 590 °C–610 °C.)

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Fig. 12

Residence time at target temperature 590 °C–610 °C of the inner surface of the tube for different tube lengths and travel speeds at a sintering zone temperature of 670 °C. (Horizontal dashed line: required minimum residence time of 180 s; vertical dashed line: sintering zone length of 0.61 m.)

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Fig. 13

Temperature evolution of the inner surface at the midpoint of a tube for different tube lengths with a sintering zone temperature of 670 °C and tube travel speed of 1.27 mm/s (0.05 in/s). (Horizontal dashed lines: target temperature range 590 °C–610 °C.)



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