Abstract
In this article, heat transfer optimization of forced convection in a wavy channel with different phase shifts between the upper and lower wavy walls is represented. The flow is laminar in the range of (200 ≤ Re ≤ 800) and a uniform temperature of 350 K is considered in the wavy sections. The governing mass, momentum and energy equations are solved using the finite volume method. Different design parameters such as the channel height (h = 10, 15 and 20 mm), the amplitude of the wavy wall (A = 1.5, 2, 2.5 and 3 mm) and the phase shift of the upper wavy wall \( (0^\circ \le \gamma \le 360^\circ ) \) are investigated. For optimization process, a recent method, named artificial bee colony (ABC) algorithm, is applied and compared with two other meta-heuristic algorithms, called particle swarm optimization (PSO) and differential evolution (DE). An “in house” code is developed which simultaneously uses the meta-heuristic algorithms and the computational fluid dynamics solver. The results indicate that ABC algorithm has higher accuracy and faster convergence rate than PSO and DE. The parameter considered for optimizing the average Nusselt number as the objective function was the phase shift. But, for optimizing the thermal performance factor, selected parameters were the wavy wall amplitude and the phase shift. The results showed that the maximum average Nusselt number is attained at \( \gamma = 250.2 \), A = 3 mm, h = 10 mm and Re = 800, in which the heat transfer rate has 96.6% enhancement rather than the parallel-plate channel. Also, it is found that \( \gamma = 283.3 \), A = 2.65 mm, h = 10 mm and Re = 800 are the optimized solutions to obtain the maximum thermal performance factor.
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Abbreviations
- A :
-
Amplitude of the wavy wall, mm
- f :
-
Friction factor
- h :
-
Channel height, mm
- L :
-
Length of the channel, mm
- n :
-
Direction normal to the walls
- Nu:
-
Nusselt number
- p :
-
Pressure, Pa
- ∆p :
-
Pressure drop, Pa
- Re:
-
Reynolds number
- T :
-
Temperature, K
- TPF:
-
Thermal performance factor
- u, v :
-
Velocity components, m/s
- U :
-
Velocity, m/s
- x, y :
-
Spatial coordinates, mm
- μ :
-
Dynamic viscosity, Pa s
- ρ :
-
Density, kg/m3
- α :
-
Thermal diffusivity, m2/s
- λ :
-
Wavelength of the wavy wall, mm
- γ:
-
Phase shift, °
- ν:
-
Kinematic viscosity, m2/s
- ave:
-
Average
- in:
-
Inlet condition
- s:
-
Parallel-plate channel
- w:
-
Wall
References
Haitham M, Bahaidarah S, Anand NK, Chen HC (2005) Numerical study of heat and momentum transfer in channels with wavy walls. Numer Heat Transf Part A 47:417–439
Sadeghi H, Izadpanah E, Babaie Rabiee M, Hekmat MH (2017) Effect of cylinder geometry on the heat transfer enhancement of power-law fluid flow inside a channel. J Braz Soc Mech Sci Eng 39:1695–1707
Sui Y, Lee PS, Teo CJ (2011) An experimental study of flow friction and heat transfer in wavy microchannels with rectangular cross section. Int J Therm Sci 50:2473–2482
Nazari M, Shokri H, Kayhani MH (2015) Control of convective heat transfer by changing the right-angle position and the base angle of triangular storages: lattice Boltzmann simulation. J Braz Soc Mech Sci Eng 37:149–161
Wang CC, Chen CK (2002) Forced convection in a wavy-wall channel. Int J Heat Mass Transf 45:2587–2595
Castellões FV, Quaresma JNN, Cotta RM (2010) Convective heat transfer enhancement in low Reynolds number flows with wavy walls. Int J Heat Mass Transf 53:2022–2034
Gong L, Kota K, Tao W, Joshi Y (2011) Thermal performance of microchannels with wavy walls for electronics cooling. IEEE Trans Compon Packag Manuf Technol 1:1029–1035
Kharati-Koopaee M, Zare M (2015) Effect of aligned and offset roughness patterns on the fluid flow and heat transfer within microchannels consist of sinusoidal structured roughness. Int J Therm Sci 90:9–23
Ramgadia AG, Saha AK (2013) Numerical study of fully developed flow and heat transfer in a wavy passage. Int J Therm Sci 67:152–166
Bahaidarah H (2007) A numerical study of fluid flow and heat transfer characteristics in channels with staggered wavy walls. Numer Heat Transf Part A 57:877–898
Sakr M (2014) Convective heat transfer and pressure drop in V-corrugated channel with different phase shifts. Heat Mass Transf 51:129–141
Vanaki ShM, Mohammed HA, Abdollahi A, Wahid MA (2014) Effect of nanoparticle shapes on the heat transfer enhancement in a wavy channel with different phase shifts. J Mol Liquids 196:32–42
Rao RV, Patel VK (2010) Thermodynamic optimization of cross flow plate-fin heat exchanger using a particle swarm optimization algorithm. Int J Therm Sci 49:1712–1721
Sahin AS (2012) Optimization of solar air collector using genetic algorithm and artificial bee colony algorithm. Heat Mass Transf 48:1921–1928
Lee SM, Kim KY (2015) Multi-objective optimization of arc-shaped ribs in the channels of a printed circuit heat exchanger. Int J Therm Sci 94:1–8
Zheng ZJ, Li MJ, He YL (2015) Optimization of porous insert configurations for heat transfer enhancement in tubes based on genetic algorithm and CFD. Int J Heat Mass Transf 87:376–379
Han HZ, Li BX, Wu H, Shao W (2015) Multi-objective shape optimization of double pipe heat exchanger with inner corrugated tube using RSM method. Int J Therm Sci 90:173–186
Nobile E, Pinto F, Rizzetto G (2006) Geometric parameterization and multi-objective shape optimization of convective periodic channels. Numer Heat Transf Part B 50:425–453
Yang YT, Wang YH, Tseng PK (2014) Numerical optimization of heat transfer enhancement in a wavy channel using nanofluids. Int Commun Heat Mass Transfer 51:9–17
Song Y, Asadi M, Xie G, Rocha LAO (2015) Constructal wavy-fin channels of a compact heat exchanger with heat transfer rate maximization and pressure losses minimization. Appl Therm Eng 75:24–32
Karaboga D, Basturk B (2007) A powerful and efficient algorithm for numerical function optimization: artificial bee colony (ABC) algorithm. J Global Optim 39:459–471
Karaboga D, Akay B (2009) A comparative study of Artificial Bee Colony algorithm. Appl Math Comput 214:108–132
Rao RV, Patel VK (2011) Optimization of mechanical draft counter flow wet-cooling tower using artificial bee colony algorithm. Energy Convers Manag 52:2611–2622
Sahin AS, Kılıç B, Kılıç U (2011) Design and economic optimization of shell and tube heat exchangers using Artificial Bee Colony (ABC) algorithm. Energy Convers Manag 52:3356–3362
Zhang W, Wang N, Yang S (2013) Hybrid artificial bee colony algorithm for parameter estimation of proton exchange membrane fuel cell. Int J Hydrogen Energy 38:5796–5806
Kennedy J, Eberhart RC (1995) Particle Swarm Optimization. IEEE Int Conf Neural Netw 4:1942–1948
van den Bergh F, Engelbrecht AP (2006) A study of particle swarm optimization particle trajectories. Inf Sci 176:937–971
Storn R, Price K (1997) Differential evolution—a simple and efficient heuristic for global optimization over continuous spaces. J Global Optim 11:341–359
Price KV, Storn RM, Lampinen JA (2005) Differential evolution a practical approach to global optimization. Springer, Verlag Berlin Heidelberg
Ferziger JH, Peric M (2002) Computational methods for fluid dynamic. Springer, New york
Yousefi-Lafouraki B, Ramiar A, Ranjbar AA (2014) Laminar forced convection of a confined slot impinging jet in a converging channel. Int J Therm Sci 77:130–138
Oviedo-Tolentino F, Romero-Méndez R, Hernández- Guerrero A, Girón-Palomares B (2008) Experimental study of fluid flow in the entrance of a sinusoidal channel. Int J Heat Fluid Flow 29:1233–1239
Shah RK, London AL (1978) Laminar flow forced convection in ducts, supplement 1 to advances in heat transfer. Academic Press, New York
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Ramiar, A., Manavi, S.A., Yousefi-Lafouraki, B. et al. Thermal performance optimization of a sinusoidal wavy channel with different phase shifts using artificial bee colony algorithm. J Braz. Soc. Mech. Sci. Eng. 40, 327 (2018). https://doi.org/10.1007/s40430-018-1254-x
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DOI: https://doi.org/10.1007/s40430-018-1254-x