Abstract
Combined effects of using inclined partition and magnetic field on the cooling performance of double slot jet impingement are analyzed with finite element method. Two different shear thinning nanofluids are used while experimental data is available for the rheological properties. Different values of of Reynolds number (Re between 100 and 1000), velocity ratio (VR, between 0.2 and 1), opening ratio (OR, between 0.05 and 0.95), magnetic field strength (Ha, between 0 and 30) and inclination of partition (\(\Omega \), between 0 and 40) are used. It is observed that varying VR of the jets, size/inclination of the partition, magnetic field strength and nanfluid type, can be used to control the local and average convective heat transfer and cooling performance features effectively. The average Nusselt number (Nu) rises with higher VR while at the highest VR the amount of increments are 23.5\(\%\) and 28.5\(\%\) with first (NF1) and second (NF2) nanofluid (NF). When magnetic field is imposed, effects of OR becomes important with NF1 at the lowest strength of magnetic field. Average Nu reduces with higher magnetic field strength for NF1 while \(14.4\%\) reduction for the highest strength at OR = 0.95 is achieved. However, for NF2 the trend is opposite and \(18.8\%\) increment is obtained. Variations in the average Nu becomes \(7.6\%\) and \(1.8\%\) for NF1 and NF2 when inclination of the partition is changed. The cooling performance is estimated by using a feed-forward network modeling approach in terms of average Nu for NF1 and NF2 by using 25 neuron in the hidden layer.
Similar content being viewed by others
Abbreviations
- h :
-
Heat transfer coefficient
- H :
-
Separating distance
- Ha :
-
Hartmann number
- k :
-
Thermal conductivity
- L :
-
Plate length
- m :
-
Consistency index
- n :
-
Power law index
- Nu:
-
Nusselt number
- OR :
-
Opening ratio
- p :
-
Pressure
- Pr:
-
Prandtl number
- Re:
-
Reynolds number
- T :
-
Temperature
- u, v :
-
X-y velocity components
- VR :
-
Velocity ratio
- w :
-
Slot width
- x, y :
-
Cartesian coordinates
- \(\alpha \) :
-
Thermal diffusivity
- \(\theta \) :
-
Non-dimensional temperature
- \(\mu \) :
-
Dynamic viscosity
- \(\nu \) :
-
Kinematic viscosity
- \(\rho \) :
-
Density of the fluid
- \(\Omega \) :
-
Partition inclination
- c :
-
Cold wall
- h :
-
Hot wall
- m :
-
Average
- nf :
-
Nanofluid
- CFD:
-
Computational fluid dynamics
- FEM:
-
Finite element method
- FFN:
-
Feed forward network
- HT:
-
Heat transfer
- J-I:
-
Jet impingement
- M-F:
-
Magnetic field
- NF:
-
Nanofluid
- OR:
-
Opening ratio
- VR:
-
Velocity ratio
References
Y. Varol, H.F. Oztop, A. Koca, Effects of inclination angle on conduction-natural convection in divided enclosures filled with different fluids. Int. Commun. Heat Mass Transf. 37, 182–191 (2010)
E. Bilgen, Natural convection in enclosures with partial partitions. Renewable Energy 26, 257–270 (2002)
T. Nishimura, M. Shiraishi, F. Nagasawa, Y. Kawamura, Natural convection heat transfer in enclosures with multiple vertical partitions. Int. J. Heat Mass Transf. 31, 1679–1686 (1988)
S. Bajorek, J. Lloyd, Experimental investigation of natural convection in partitioned enclosures 104, 527–532 (1982)
F. Selimefendigil, H.F. Öztop, Conjugate natural convection in a cavity with a conductive partition and filled with different nanofluids on different sides of the partition. J. Mol. Liq. 216, 67–77 (2016)
M.M. Alhazmy, Numerical investigation on using inclined partitions to reduce natural convection inside the cavities of hollow bricks. Int. J. Therm. Sci. 49, 2201–2210 (2010)
M. Rabhi, H. Bouali, A. Mezrhab, Radiation-natural convection heat transfer in inclined rectangular enclosures with multiple partitions. Energy Convers. Manage. 49, 1228–1236 (2008)
F. Selimefendigil, H.F. Öztop, Mhd pulsating forced convection of nanofluid over parallel plates with blocks in a channel. Int. J. Mech. Sci. 157, 726–740 (2019)
V. Costa, Natural convection in partially divided square enclosures: Effects of thermal boundary conditions and thermal conductivity of the partitions. Int. J. Heat Mass Transf. 55, 7812–7822 (2012)
E. Jamesahar, M. Ghalambaz, A.J. Chamkha, Fluid-solid interaction in natural convection heat transfer in a square cavity with a perfectly thermal-conductive flexible diagonal partition. Int. J. Heat Mass Transf. 100, 303–319 (2016)
D. Kumar, A. Kumar, S. Subudhi, Effect of spatially varying magnetic field on the cooling of an electronic component by natural convection with magnetic nanofluids. J. Thermal Sci. Eng. Appl. 13, 061017 (2021)
M. Sheikholeslami, Z. Shah, A. Shafee, I. Khan, I. Tlili, Uniform magnetic force impact on water based nanofluid thermal behavior in a porous enclosure with ellipse shaped obstacle. Sci. Rep. 9, 1–11 (2019)
B.P. Geridonmez, H.F. Oztop, Natural convection in a cavity filled with porous medium under the effect of a partial magnetic field. Int. J. Mech. Sci. 161, 105077 (2019)
A.A. Al-Rashed, L. Kolsi, H.F. Oztop, A. Aydi, E.H. Malekshah, N. Abu-Hamdeh, M.N. Borjini, 3D magneto-convective heat transfer in CNT-nanofluid filled cavity under partially active magnetic field. Physica E 99, 294–303 (2018)
M. Sheikholeslami, K. Vajravelu, M.M. Rashidi, Forced convection heat transfer in a semi annulus under the influence of a variable magnetic field. Int. J. Heat Mass Transf. 92, 339–348 (2016)
A. Hussanan, Z. Ismail, I. Khan, A.G. Hussein, S. Shafie, Unsteady boundary layer MHD free convection flow in a porous medium with constant mass diffusion and Newtonian heating. Eur. Phys. J. Plus 129, 1–16 (2014)
F. Selimefendigil, H.F. Öztop, A.J. Chamkha, MHD mixed convection and entropy generation of nanofluid filled lid driven cavity under the influence of inclined magnetic fields imposed to its upper and lower diagonal triangular domains. J. Magn. Magn. Mater. 406, 266–281 (2016)
G. Aaiza, I. Khan, S. Shafie, Energy transfer in mixed convection MHD flow of nanofluid containing different shapes of nanoparticles in a channel filled with saturated porous medium. Nanoscale Res. Lett. 10, 1–14 (2015)
S. Giwa, M. Sharifpur, M. Ahmadi, J. Meyer, A review of magnetic field influence on natural convection heat transfer performance of nanofluids in square cavities. J. Therm. Anal. Calorim. 145, 2581–2623 (2021)
A. Hussanan, M.Z. Salleh, I. Khan, S. Shafie, Convection heat transfer in micropolar nanofluids with oxide nanoparticles in water, kerosene and engine oil. J. Mol. Liq. 229, 482–488 (2017)
S. Aman, I. Khan, Z. Ismail, M.Z. Salleh, Q.M. Al-Mdallal, Heat transfer enhancement in free convection flow of CNTs Maxwell nanofluids with four different types of molecular liquids. Sci. Rep. 7, 1–13 (2017)
B. M’hamed, N.A.C. Sidik, M.N.A.W.M. Yazid, R. Mamat, G. Najafi, G. Kefayati, A review on why researchers apply external magnetic field on nanofluids. Int. Commun. Heat Mass Transf. 78, 60–67 (2016)
M. Sheikholeslami, H.B. Rokni, Magnetohydrodynamic CuO-water nanofluid in a porous complex-shaped enclosure. J. Thermal Sci. Eng. Appl. 9, 041007 (2017)
K. Kahveci, S. Öztuna, Mhd natural convection flow and heat transfer in a laterally heated partitioned enclosure. Eur. J. Mech. B/Fluids 28, 744–752 (2009)
S. Mehryan, M. Ghalambaz, M.A. Ismael, A.J. Chamkha, Analysis of fluid-solid interaction in MHD natural convection in a square cavity equally partitioned by a vertical flexible membrane. J. Magn. Magn. Mater. 424, 161–173 (2017)
F. Selimefendigil, H.F. Öztop, Forced convection and thermal predictions of pulsating nanofluid flow over a backward facing step with a corrugated bottom wall. Int. J. Heat Mass Transf. 110, 231–247 (2017)
H. Yamaguchi, Z. Zhang, S. Shuchi, K. Shimada, Heat transfer characteristics of magnetic fluid in a partitioned rectangular box. J. Magn. Magn. Mater. 252, 203–205 (2002)
S.S. Priam, R. Nasrin, Oriented magneto-conjugate heat transfer and entropy generation in an inclined domain having wavy partition. Int. Commun. Heat Mass Transf. 126, 105430 (2021)
Y. Li, M. Firouzi, A. Karimipour, M. Afrand, Effect of an inclined partition with constant thermal conductivity on natural convection and entropy generation of a nanofluid under magnetic field inside an inclined enclosure: applicable for electronic cooling. Adv. Powder Technol. 31, 645–657 (2020)
F. Selimefendigil, H.F. Öztop, Identification of pulsating flow effects with CNT nanoparticles on the performance enhancements of thermoelectric generator (TEG) module in renewable energy applications. Renew. Energy 162, 1076–1086 (2020)
M. Ghalambaz, S. Mehryan, E. Izadpanahi, A.J. Chamkha, D. Wen, MHD natural convection of Cu-Al 2 O 3 water hybrid nanofluids in a cavity equally divided into two parts by a vertical flexible partition membrane. J. Therm. Anal. Calorim. 138, 1723–1743 (2019)
S. Izadi, T. Armaghani, R. Ghasemiasl, A.J. Chamkha, M. Molana, A comprehensive review on mixed convection of nanofluids in various shapes of enclosures. Powder Technol. 343, 880–907 (2019)
F. Selimefendigil, A.J. Chamkha, MHD mixed convection of Ag-MgO/water nanofluid in a triangular shape partitioned lid-driven square cavity involving a porous compound. J. Therm. Anal. Calorim. 143, 1467–1484 (2021)
G. Krishan, K.C. Aw, R.N. Sharma, Synthetic jet impingement heat transfer enhancement-a review. Appl. Therm. Eng. 149, 1305–1323 (2019)
C. Gau, C. Chung, Surface curvature effect on slot-air-jet impingement cooling flow and heat transfer process. J. Heat Transf. 113, 858–864 (1991)
P. Li, D. Guo, R. Liu, Mechanism analysis of heat transfer and flow structure of periodic pulsating nanofluids slot-jet impingement with different waveforms. Appl. Therm. Eng. 152, 937–945 (2019)
Y. Zhou, G. Lin, X. Bu, L. Bai, D. Wen, Experimental study of curvature effects on jet impingement heat transfer on concave surfaces. Chin. J. Aeronaut. 30, 586–594 (2017)
S. Abishek, R. Narayanaswamy, Low frequency pulsating jet impingement boiling and single phase heat transfer. Int. J. Heat Mass Transf. 159, 120052 (2020)
V.S. Patil, R. Vedula, Local heat transfer for jet impingement onto a concave surface including injection nozzle length to diameter and curvature ratio effects. Exp. Thermal Fluid Sci. 92, 375–389 (2018)
F. Selimefendigil, H.F. Öztop, Al\(_2\)O\(_3\)-water nanofluid jet impingement cooling with magnetic field. Heat Transfer Eng. 41, 50–64 (2020)
P.A.K. Lam, K.A. Prakash, A numerical investigation of heat transfer and entropy generation during jet impingement cooling of protruding heat sources without and with porous medium. Energy Convers. Manag. 89, 626–643 (2015)
N.H. Saeid, A.A. Mohamad, Jet impingement cooling of a horizontal surface in a confined porous medium: Mixed convection regime. Int. J. Heat Mass Transf. 49, 3906–3913 (2006)
J. Mohammadpour, A. Lee, Investigation of nanoparticle effects on jet impingement heat transfer: a review. J. Mol. Liq. 113819 (2020)
P.K. Tyagi, R. Kumar, P.K. Mondal, A review of the state-of-the-art nanofluid spray and jet impingement cooling. Phys. Fluids 32, 121301 (2020)
R. Nimmagadda, H.D. Haustein, L.G. Asirvatham, S. Wongwises, Effect of uniform/non-uniform magnetic field and jet impingement on the hydrodynamic and heat transfer performance of nanofluids. J. Magn. Magn. Mater. 479, 268–281 (2019)
L. Nakharintr, P. Naphon, Magnetic field effect on the enhancement of nanofluids heat transfer of a confined jet impingement in mini-channel heat sink. Int. J. Heat Mass Transf. 110, 753–759 (2017)
F. Selimefendigil, H.F. Öztop, Performance assessment of a thermoelectric module by using rotating circular cylinders and nanofluids in the channel flow for renewable energy applications. J. Clean. Prod. 279, 123426 (2021)
H. Lee, M. Ha, H. Yoon, A numerical study on the fluid flow and heat transfer in the confined jet flow in the presence of magnetic field. Int. J. Heat Mass Transf. 48, 5297–5309 (2005)
S. Kalogirou, Applications of artificial neural networks in energy systems a review. Energy Convers. Manag. 40, 1073–1087 (1999)
A. Mellit, S.A. Kalogirou, ANFIS-based modelling for photovoltaic power supply system: a case study. Renew. Energy 36, 250–258 (2011)
Y. Varol, H.F. Oztop, E. Avci, Estimation of thermal and flow fields due to natural convection using support vector machines (svm) in a porous cavity with discrete heat sources. Int. Commun. Heat Mass Transf. 35, 928–936 (2008)
K. Gopalakrishnan, S.K. Khaitan, S. Kalogirou, Soft computing in green and renewable energy systems, vol. 269 (Springer, New York, 2011)
Y. Varol, E. Avci, A. Koca, H.F. Oztop, Prediction of flow fields and temperature distributions due to natural convection in a triangular enclosure using adaptive-network-based fuzzy inference system (anfis) and artificial neural network (ann). Int. Commun. Heat Mass Transf. 34, 887–896 (2007)
E. Rodrigues, Á. Gomes, A.R. Gaspar, C.H. Antunes, Estimation of renewable energy and built environment-related variables using neural networks - A review. Renew. Sustain. Energy Rev. 94, 959–988 (2018)
A.H. Elsheikh, S.W. Sharshir, M. AbdElaziz, A. Kabeel, W. Guilan, Z. Haiou, Modeling of solar energy systems using artificial neural network: a comprehensive review. Sol. Energy 180, 622–639 (2019)
F. Selimefendigil, H.F. Oztop, POD-based reduced order model of a thermoacoustic heat engine. Eur. J. Mech. B. Fluids 48, 135–142 (2014)
P. Naphon, S. Wiriyasart, T. Arisariyawong, L. Nakharintr, ANN, numerical and experimental analysis on the jet impingement nanofluids flow and heat transfer characteristics in the micro-channel heat sink. Int. J. Heat Mass Transf. 131, 329–340 (2019)
F. Selimefendigil, H.F. Öztop, Analysis and predictive modeling of nanofluid-jet impingement cooling of an isothermal surface under the influence of a rotating cylinder. Int. J. Heat Mass Transf. 121, 233–245 (2018)
A. Husain, S.-M. Kim, K.-Y. Kim, Performance analysis and design optimization of micro-jet impingement heat sink. Heat Mass Transf. 49, 1613–1624 (2013)
X. Song, J. Zhang, S. Kang, M. Ma, B. Ji, W. Cao, V. Pickert, Surrogate-based analysis and optimization for the design of heat sinks with jet impingement. IEEE Trans. Components Packaging Manuf. Technol. 4, 429–437 (2013)
R.B. Bird, W.E. Stewart, E.N. Lightfoot, Transport phenomena, vol. 1 (Wiley, Amsterdam, 2006)
A.K. Santra, S. Sen, N. Chakraborty, Study of heat transfer augmentation in a differentially heated square cavity using copper-water nanofluid. Int. J. Therm. Sci. 47, 1113–1122 (2008)
N. Putra, W. Roetzel, S.K. Das, Natural convection of nano-fluids. Heat Mass Transf. 39, 775–784 (2003)
C.H. Chon, K.D. Kihm, S.P. Lee, S.U. Choi, Empirical correlation finding the role of temperature and particle size for nanofluid (Al\(_2\)O\(_3\)) thermal conductivity enhancement. Appl. Phys. Lett. 87, 153107 (2005)
R.W. Lewis, P. Nithiarasu, K.N. Seetharamu, Fundamentals of the finite element method for heat and fluid flow (Wiley, Amsterdam, 2004)
R.W. Lewis, K. Morgan, H. Thomas, K.N. Seetharamu, The finite element method in heat transfer analysis (Wiley, Amsterdam, 1996)
J.N. Reddy, D.K. Gartling, The finite element method in heat transfer and fluid dynamics (CRC Press, New York, 2010)
J. C. Heinrich, D. W. Pepper, Intermediate finite element method: fluid flow and heat transfer applications, Routledge (2017)
Y. Chou, Y. Hung, Impingement cooling of an isothermally heated surface with a confined slot jet. ASME Trans. J. Heat Transf. 116, 479–482 (1994)
O. Manca, D. Ricci, S. Nardini, G. Di Lorenzo, Thermal and fluid dynamic behaviors of confined laminar impinging slot jets with nanofluids. Int. Commun. Heat Mass Transf. 70, 15–26 (2016)
V. Khandelwal, A. Dhiman, L. Baranyi, Laminar flow of non-Newtonian shear-thinning fluids in a T-channel. Comput. Fluids 108, 79–91 (2015)
H.F. Oztop, K. Al-Salem, I. Pop, Mhd mixed convection in a lid-driven cavity with corner heater. Int. J. Heat Mass Transf. 54, 494–3504 (2011)
B. Pekmen, M.T. Sezgin, Mhd flow and heat transfer in a lid-driven porous enclosure. Comput. Fluids 89, 191–199 (2014)
F. Selimefendigil, H.F. Oztop, Numerical study of MHD mixed convection in a nanofluid filled lid driven square enclosure with a rotating cylinder. Int. J. Heat Mass Transf. 78, 741–754 (2014)
C. Yu, M.T. Manry, J. Li, P.L. Narasimha, An efficient hidden layer training method for the multilayer perceptron. Neurocomputing 70, 525–535 (2006)
Acknowledgements
This research has been funded by Scientific Research Deanship at University of Ha’il - Saudi Arabia through project number RG-21 057.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Selimefendigil, F., Kolsi, L., Ayadi, B. et al. Jet impingement cooling using shear thinning nanofluid under the combined effects of inclined separated partition at the inlet and magnetic field. Eur. Phys. J. Spec. Top. 231, 2491–2508 (2022). https://doi.org/10.1140/epjs/s11734-022-00583-w
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1140/epjs/s11734-022-00583-w