Research Article

A novel method for forced convection heat transfer in 2D skewed cavities using a non-orthogonal mesh

Volume: 11 Number: 3 May 16, 2025

A novel method for forced convection heat transfer in 2D skewed cavities using a non-orthogonal mesh

Abstract

A novel approach is introduced to study a lid-driven, skewed cavity flow via utilizing a non-orthogonal, body-fitted coordinate system, employing the primitive variables. The Navier-Stokes equations are fully transformed in the new coordinate system while including the independent variables, the velocity components as well as the directions in which the momentum equations are applicable. A non-staggered grid system is used for all variables by substituting the continuity equation with the Pressure Poisson Equation and its appropriate boundary conditions. The flow problem is solved for various skew angles of the cavity. The transformed energy equation is also numerically solved to predict the temperature field in the skewed cavities for different heating conditions at the cavity walls. The present study provides simplifications in numerical modelling of the flow system in cavities without large skewness. In addition, a good agreement is found with previously reported results for skew angles equal to or closer to 90 degrees.

Keywords

References

  1. [1] Ghia U, Ghia KN, Shin CT. High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method. J Comput Phys 1982;48:387–411. [CrossRef]
  2. [2] Erturk E, Corke TC, Gökçöl C. Numerical solutions of 2-D steady incompressible driven cavity flow at high Reynolds numbers. Int J Numer Methods Fluids 2005;48:747–774. [CrossRef]
  3. [3] Demirdžić I, Lilek, Perić M. Fluid flow and heat transfer test problems for non-orthogonal grids: benchmark solutions. Int J Numer Methods Fluids 1992;15:329–354. [CrossRef]
  4. [4] Erturk E, Dursun B. Numerical solutions of 2-D steady incompressible flow in a driven skewed cavity. ZAMM Z Angew Math Mech 2007;87:377–392. [CrossRef]
  5. [5] Mansour MA, Mohamed RA, Abd-Elaziz MM, Ahmed SE. Numerical simulation of mixed convection flows in a square lid-driven cavity partially heated from below using nanofluid. Int Commun Heat Mass Transf 2010;37:1504–1512. [CrossRef]
  6. [6] Taher MA, Saha SC, Lee YW, Kim HD. Numerical study of lid-driven square cavity with heat generation using LBM. Am J Fluid Dyn 2013;3:40–47.
  7. [7] Abbasian Arani AA, Mazrouei Sebdani S, Mahmoodi M, Ardeshiri A, Aliakbari M. Numerical study of mixed convection flow in a lid-driven cavity with sinusoidal heating on sidewalls using nanofluid. Superlattices Microstruct 2012;51:893–911. [CrossRef]
  8. [8] Kamyar A, Saidur R, Hasanuzzaman M. Application of computational fluid dynamics (CFD) for nanofluids. Int J Heat Mass Transf 2012;55:4104–4115. [CrossRef]

Details

Primary Language

English

Subjects

Computational Methods in Fluid Flow, Heat and Mass Transfer (Incl. Computational Fluid Dynamics)

Journal Section

Research Article

Authors

Khaled Fawzi Shatnawi This is me
0009-0007-3116-9780
Saudi Arabia

Saad Bin Mansoor * This is me
0000-0002-6227-0386
Saudi Arabia

Publication Date

May 16, 2025

Submission Date

March 17, 2024

Acceptance Date

October 3, 2024

Published in Issue

Year 2025 Volume: 11 Number: 3

APA
Shatnawi, K. F., Mansoor, S. B., & Yiılbas, B. S. (2025). A novel method for forced convection heat transfer in 2D skewed cavities using a non-orthogonal mesh. Journal of Thermal Engineering, 11(3), 740-752. https://izlik.org/JA65CB32SB
AMA
1.Shatnawi KF, Mansoor SB, Yiılbas BS. A novel method for forced convection heat transfer in 2D skewed cavities using a non-orthogonal mesh. Journal of Thermal Engineering. 2025;11(3):740-752. https://izlik.org/JA65CB32SB
Chicago
Shatnawi, Khaled Fawzi, Saad Bin Mansoor, and Bekir Sami Yiılbas. 2025. “A Novel Method for Forced Convection Heat Transfer in 2D Skewed Cavities Using a Non-Orthogonal Mesh”. Journal of Thermal Engineering 11 (3): 740-52. https://izlik.org/JA65CB32SB.
EndNote
Shatnawi KF, Mansoor SB, Yiılbas BS (May 1, 2025) A novel method for forced convection heat transfer in 2D skewed cavities using a non-orthogonal mesh. Journal of Thermal Engineering 11 3 740–752.
IEEE
[1]K. F. Shatnawi, S. B. Mansoor, and B. S. Yiılbas, “A novel method for forced convection heat transfer in 2D skewed cavities using a non-orthogonal mesh”, Journal of Thermal Engineering, vol. 11, no. 3, pp. 740–752, May 2025, [Online]. Available: https://izlik.org/JA65CB32SB
ISNAD
Shatnawi, Khaled Fawzi - Mansoor, Saad Bin - Yiılbas, Bekir Sami. “A Novel Method for Forced Convection Heat Transfer in 2D Skewed Cavities Using a Non-Orthogonal Mesh”. Journal of Thermal Engineering 11/3 (May 1, 2025): 740-752. https://izlik.org/JA65CB32SB.
JAMA
1.Shatnawi KF, Mansoor SB, Yiılbas BS. A novel method for forced convection heat transfer in 2D skewed cavities using a non-orthogonal mesh. Journal of Thermal Engineering. 2025;11:740–752.
MLA
Shatnawi, Khaled Fawzi, et al. “A Novel Method for Forced Convection Heat Transfer in 2D Skewed Cavities Using a Non-Orthogonal Mesh”. Journal of Thermal Engineering, vol. 11, no. 3, May 2025, pp. 740-52, https://izlik.org/JA65CB32SB.
Vancouver
1.Khaled Fawzi Shatnawi, Saad Bin Mansoor, Bekir Sami Yiılbas. A novel method for forced convection heat transfer in 2D skewed cavities using a non-orthogonal mesh. Journal of Thermal Engineering [Internet]. 2025 May 1;11(3):740-52. Available from: https://izlik.org/JA65CB32SB

IMPORTANT NOTE: JOURNAL SUBMISSION LINK http://eds.yildiz.edu.tr/journal-of-thermal-engineering