Thermal performance of wavy fin in a compact heat exchanger duct using Galerkin method

Mahdavi, Arash; Delavar, Mojtaba Aghajani

doi:10.1016/j.applthermaleng.2017.11.123

Cited by 10 publications

(4 citation statements)

References 26 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The research 43,44 describes an extensive proof of this method. The governing equations are transformed into weak forms and discretized using the Galerkin finite element method 45–48 . The analysis is based on an error estimate of less than 10 −6 to provide accurate and reliable results.…”

Section: Numerical Simulationmentioning

confidence: 99%

Fluid‐structure interaction study of an oscillating heat source effect on the natural convection flow

Tarek,

Elhadj,

Mohammad

et al. 2024

Heat Trans

View full text Add to dashboard Cite

The objective of this paper is to investigate fluid‐structure interaction (FSI) within conjugate natural convection. An oscillating fin, featuring a heat source placed at different locations, is examined using the Arbitrary Lagrangian–Eulerian formulation. The Galerkin finite element method is utilized to solve nonlinear dimensionless equations. Verification of grid independence is conducted and the model undergoes validation. Simulation outcomes for three fin positions (left, center, and right) and three heat source locations (bottom, middle, and top) are presented, illustrating streamlines, isotherms, and the average Nusselt number. The governing equations and boundary conditions are addressed using the finite element method. Temperature profiles in four scenarios are analyzed, along with horizontal velocities at different levels (0, D/2, D from the bottom wall). Dimensionless time (10−5 ≤ t ≤ 3), Ra = 106, Kr = 10, E = 1011 are used as parameters. The impact of the heat source position on vibratory motion is evaluated through Nusselt number variation, affecting heat exchange in different cases. The results show that heat transfer is minimal for a source location at the center of the fin (c). These findings also offer insights into FSI applications in economics and industry, guiding practical design considerations. Additionally, coupling the vibratory motion of the heat source with the flexible oscillating fin at the same frequency enhances understanding of the system.

show abstract

Section: Numerical Simulationmentioning

confidence: 99%

Fluid‐structure interaction study of an oscillating heat source effect on the natural convection flow

Tarek,

Elhadj,

Mohammad

et al. 2024

Heat Trans

View full text Add to dashboard Cite

show abstract

“…They verified that the Nusselt number increased with the increase of amplitude and ripple number. By comparing the heat transfer rate, surface emissivity and convection coefficient under different fin geometry parameters, Arash Mahdavi [19] analyzed the heat transfer in the compact heat exchanger pipe, and verified that the heat transfer rate can significantly increase the heat transfer coefficient. Gun Woo Kim [20] conducted a numerical study on the optimal cross section length of the fin heat exchanger with different corrugated angles.…”

Section: Introductionmentioning

confidence: 97%

A Three-Dimensional Numerical and Multi-Objective Optimal Design of Wavy Plate-Fins Heat Exchangers

Xue

Shi

et al. 2020

Processes

View full text Add to dashboard Cite

This paper presents a method for optimizing wavy plate-fin heat exchangers accurately and efficiently. It combines CFD simulation, Radical Basis Functions (RBF) with multi-objective optimization to improve the performance. The optimization of the Colburn factor j and the friction coefficient f is regarded as a multi-objective optimization problem, due to the existence of two contradictory goals. The approximation model was obtained by Radical Basis Functions, and the shape of the heat exchanger was optimized by multi-objective genetic algorithm (MOGA). The optimization results showed that j increased by 17.62% and f decreased by 20.76%, indicating that the heat exchange efficiency was significantly enhanced and the fluid structure resistance reduced. Then, from the aspects of field synergy and tubulence energy, the performance advantage of the optimized structure was further confirmed.

show abstract

“…Although many research studies have been devoted to find the analytical solutions of fins problems (Abbasbandy and Shivanian, 2017; Abbasbandy and Shivanian, 2018; Kader et al , 2016; Moitsheki et al , 2010; Popovych et al , 2008), the complexity of these solutions and the limitations of applying them in engineering problems have increased the importance of using semi-analytical and numerical methods for solving these types of problems. The Adomian decomposition method (ADM) (Chiu, 2002; Singla and Das, 2014; Arslanturk, 2005; Roy et al , 2015; Wazwaz et al , 2016), variational iteration method (VIM) (Coşkun and Atay, 2008; Wazwaz, 2017), homotopy perturbation method (HPM) (Rajabi, 2007; Cuce and Cuce, 2015), homotopy analysis method (HAM) (Panda et al , 2014; Inc, 2008; Domairry and Fazeli, 2009; Shivanian and Ghoncheh, 2017), differential transformation method (Joneidi et al , 2009), least squares method (Aziz and Bouaziz, 2011), Galerkin method (Mahdavi and Delavar, 2018), linear barycentric rational interpolation method (Torkaman et al , 2019) and Haar wavelet quasilinearization method (Aznam et al , 2019) have been recently used to solve several nonlinear heat transfer problems related to fins.…”

Section: Introductionmentioning

confidence: 99%

Dual solutions of the nonlinear problem of heat transfer in a straight fin with temperature-dependent heat transfer coefficient

Karamollahi

Loghmani

Heydari

2020

HFF

View full text Add to dashboard Cite

Purpose In this paper, a numerical scheme is provided to predict and approximate the multiple solutions for the problem of heat transfer through a straight rectangular fin with temperature-dependent heat transfer coefficient. Design/methodology/approach The proposed method is based on the two-point Taylor formula as a special case of the Hermite interpolation technique. Findings An explicit approximate form of the temperature distribution is computed. The convergence analysis is also discussed. Some results are reported to demonstrate the capability of the method in predicting the multiplicity of the solutions for this problem. Originality/value The duality of the solution of the problem can be easily predicted by using the presented method. Furthermore, the computational results confirm the acceptable accuracy of the presented numerical scheme even for estimating the unstable lower solution of the problem.

show abstract

Thermal performance of wavy fin in a compact heat exchanger duct using Galerkin method

Cited by 10 publications

References 26 publications

Fluid‐structure interaction study of an oscillating heat source effect on the natural convection flow

Fluid‐structure interaction study of an oscillating heat source effect on the natural convection flow

A Three-Dimensional Numerical and Multi-Objective Optimal Design of Wavy Plate-Fins Heat Exchangers

Dual solutions of the nonlinear problem of heat transfer in a straight fin with temperature-dependent heat transfer coefficient

Contact Info

Product

Resources

About