#
Thermo-Fluid Performance Enhancement Using NACA Aerofoil Cross-Sectional Tubes^{ †}

^{*}

^{†}

## Abstract

**:**

## 1. Introduction

## 2. Mathematical Model for Flow across Banks of Tubes

^{3}, ${c}_{p}$ = 1007 J/kg-K, $\nu $ = 14.82 × 10

^{6}m

^{2}/s, and $k$ = 0.0253 W/m-K) are assumed to be constant. The fluid flow inside the bank is two-dimensional, and the heat transfer is steady state.

## 3. Results and Discussion

## 4. Conclusions

## Author Contributions

## Funding

## Institutional Review Board Statement

## Informed Consent Statement

## Data Availability Statement

## Acknowledgments

## Conflicts of Interest

## References

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**Figure 1.**Tube arrangements in a bank: (

**a**) circular aligned, (

**b**) airfoil aligned, (

**c**) circular staggered, and (

**d**) airfoil staggered.

**Figure 3.**Streamlines around (

**a**) circular aligned, (

**b**) airfoil aligned, (

**c**) circular staggered, and (

**d**) airfoil staggered.

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## Share and Cite

**MDPI and ACS Style**

Tariq, M.H.; Khan, F.; Rizwan, H.M.; Cheema, T.A.
Thermo-Fluid Performance Enhancement Using NACA Aerofoil Cross-Sectional Tubes. *Eng. Proc.* **2022**, *23*, 13.
https://doi.org/10.3390/engproc2022023013

**AMA Style**

Tariq MH, Khan F, Rizwan HM, Cheema TA.
Thermo-Fluid Performance Enhancement Using NACA Aerofoil Cross-Sectional Tubes. *Engineering Proceedings*. 2022; 23(1):13.
https://doi.org/10.3390/engproc2022023013

**Chicago/Turabian Style**

Tariq, Muhammad Hasnain, Farooq Khan, Hafiz Muhammad Rizwan, and Taqi Ahmad Cheema.
2022. "Thermo-Fluid Performance Enhancement Using NACA Aerofoil Cross-Sectional Tubes" *Engineering Proceedings* 23, no. 1: 13.
https://doi.org/10.3390/engproc2022023013