Convection Heat Transfer From Tube Banks in Crossflow: Analytical Approach

Khan, Waqar Ahmed; Culham, Richard; Yovanovich, M. M.

doi:10.2514/6.2005-958

Cited by 37 publications

(48 citation statements)

References 13 publications

(5 reference statements)

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“…For the flow across a bundle of staggered tubes (O.D. = 16.4 mm, longitudinal pitch = 34.3 mm, transverse pitch = 31.3 mm) where seven rows of tubes are aligned in the air flow direction and each row has eight tubes, the calculated Nusselt number of the present simulation is 87.58, which is very close to 87.9 from the theoretical study of Incropera and DeWitt (2002) and 88.3 from the analytical solution of Khan et al (2006). Details of parameters used to solve the problem of staggered tube bundle are described in Incropera and DeWitt (2002).…”

Section: Validation Of the Simulation Methodssupporting

confidence: 66%

A New Cross-Flow Tube Bundle Heat Exchanger with Staggered Hot and Cold Tubes for Thermophoretic Deposition of Submicron Aerosol Particles

Chien

Huang

Tsai

2009

Aerosol Science and Technology

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A new tube cross-flow bundle heat exchanger has been designed and tested for thermophoretic deposition of submicron aerosol particles. The present design has five columns of hot and cold square tubes, respectively, arranged in a staggered manner to maintain a nearly constant temperature gradient in the direction of the aerosol flow. Each column has four tubes of 4 mm × 4 mm in cross section and the gap between the tube surfaces is 0.5 mm. The precipitator was tested experimentally using monodisperse NaCl test particles ranging from 38 to 397 nm in diameter at the aerosol flow rate of 0.6 and 1.2 L/min, respectively, at different temperature gradients. Results showed that the thermophoretic deposition efficiency increased with decreasing aerosol flow rate and increasing temperature gradient with the maximum thermophoretic deposition efficiency occurred at the aerosol flow rate of 0.6 L/min. The effect of inlet temperature of the aerosol flow on the efficiency was also tested and showed increasing inlet temperature increased the deposition efficiency. Numerical simulation was further conducted to validate the experimental data and good agreement was obtained. An empirical equation was also validated to facilitate the design and scale-up of the precipitator.

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Section: Validation Of the Simulation Methodssupporting

confidence: 66%

A New Cross-Flow Tube Bundle Heat Exchanger with Staggered Hot and Cold Tubes for Thermophoretic Deposition of Submicron Aerosol Particles

Chien

Huang

Tsai

2009

Aerosol Science and Technology

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“…The model of solution of configuration of single row of cylinders is similar to that of given by Khan et al (2006) which the bundle of cylinders consist of a single cylinder arranged in the same distance, the same flow, and thermal characteristic around it. Therefore, only one cylinder is to be explored about the flow and the thermal behavior.…”

Section: Methodsmentioning

confidence: 97%

“…The only analytical model of heat transfer of tube bundle in a heat exchanger is given by Khan et al (2006) which is valid for many rows of tubes, not for single row. In this study, the author tries to explore numerically the effect of transverse pitch by solving the mathematical equations of the fluid flow and the energy.…”

Section: Governing Equationsmentioning

confidence: 99%

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Effect of transverse pitch on forced convective heat transfer over single row cylinder

Sahim

2015

Int J Mech Mater Eng

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Heat transfer problems are encountered in many engineering fields. Heat exchanger becomes important as the equipment for transfer heat. The tubes in heat exchanger consist of some tubes either in-line or staggered arrangements. The heat transfer of three circular tubes arranged in single row is studied numerically to observe the effect of transverse pitch. The flow around the tube, the momentum equation in boundary layer is solved by finite volume method to obtain the velocity distribution. The energy equation is discretized by finite different methods and then solved by the iteration of relaxation method to obtain the temperature fields. The pressure term of the equation is replaced by the experimental data measured from wind tunnel tests. The calculation of velocity and temperature are carried out around the cylinder in the middle of the arrangement in which the number of nodes increase along longitudinal direction. The results show the local drag friction and the local Nusselt number at the tube surfaces change with transverse pitch. Starting from a certain value of transverse pitch, there is no influence on heat transfers and the tube arrays behave as a single tube. For small pitch, the heat transfer and drag coefficient variations are significant.

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“…Khan [25] has developed the following analytical correlation for dimensionless heat transfer coefficient for the tube banks:…”

Section: Khan Culham and Yovanovichmentioning

confidence: 99%

Optimal Design of Tube Banks in Crossflow Using Entropy Generation Minimization Method

Khan

Culham

Yovanovich

2007

Journal of Thermophysics and Heat Transfer

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An entropy generation minimization method is applied as a unique measure to study the thermodynamic losses caused by heat transfer and pressure drop for a fluid in cross flow with tube banks. The use of entropy generation minimization allows the combined effect of heat transfer and pressure drop to be assessed through simultaneous interaction with the tube bank. A general dimensionless expression for the entropy generation rate is obtained by considering a control volume around a tube bank and applying conservation equations for mass and energy with entropy balance. Analytical/empirical correlations for heat transfer coefficients and friction factors are used, where the characteristic length is used as the diameter of the tubes and reference velocity used in Reynolds number and pressure drop is based on the minimum free area available for the fluid flow. Both inline and staggered arrangements are studied and their relative performance is compared for the same thermal and hydraulic conditions. A parametric study is also performed to show the effects of different design variables on the overall performance of tube banks. It is shown that all relevant design parameters for tube banks, including geometric parameters and flow conditions, can be simultaneously optimized.

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Convection Heat Transfer From Tube Banks in Crossflow: Analytical Approach

Cited by 37 publications

References 13 publications

A New Cross-Flow Tube Bundle Heat Exchanger with Staggered Hot and Cold Tubes for Thermophoretic Deposition of Submicron Aerosol Particles

A New Cross-Flow Tube Bundle Heat Exchanger with Staggered Hot and Cold Tubes for Thermophoretic Deposition of Submicron Aerosol Particles

Effect of transverse pitch on forced convective heat transfer over single row cylinder

Optimal Design of Tube Banks in Crossflow Using Entropy Generation Minimization Method

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