Abstract
In this study, heat transfer and entropy generation were investigated in a microchannel containing FMWNT/water nanofluids given the slip condition. The main focus was on utilizing injection technique in the presence of the magnetic field. The injection from the upper high-temperature wall was incorporated into the flow field. Injection at high Reynolds number causes vortex formation, which ultimately reduces local heat transfer in the adjacent injection zone. By applying the magnetic field, the vortex intensity as well as boundary layer thickness was diminished which in turn improved the heat transfer. Based on numerical results, at higher nanoparticle volume fraction, the effect of the magnetic field on heat transfer enhancement was amplified. Moreover, at higher Reynolds numbers, the magnetic field efficacy is more obvious. The highest heat transfer occurred at the highest values of the Hartmann and Reynolds numbers and eventually the nanoparticle volume fraction. Owing to applying the magnetic field on the injectable microchannel containing nanofluid, heat transfer improvement can reach up to 79%. From the second law prospective, the entropy generation intensified by 82.8%.
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Abbreviations
- B o :
-
Magnetic field strength (T)
- h :
-
Microchannel height (mm)
- H :
-
Dimensionless microchannel
- Ha:
-
Hartmann number
- l :
-
Microchannel length (mm)
- L :
-
Dimensionless microchannel
- \(\bar{p}\) :
-
Pressure (Pa)
- Re:
-
Reynolds number
- \(\dot{S}_{\text{f}}\) :
-
Viscous entropy generation
- \(\dot{S}_{\text{h}}\) :
-
Thermal entropy generation
- \(\dot{S}_{\text{t}}\) :
-
Total entropy generation
- U :
-
Dimensionless horizontal velocity
- u s :
-
Slip velocity \(\left( {\frac{{{\text{m}} }}{\text{s}}} \right)\)
- U s :
-
Dimensionless slip velocity
- S r :
-
Ratio of total entropy with magnetic field to total entropy without magnetic field
- \(\beta\) :
-
Slip coefficient (mm)
- \(\beta^{*}\) :
-
Dimensionless slip coefficient
- \(\varphi\) :
-
Volume fraction of nanoparticles (%)
- θ :
-
Dimensionless temperature
- \(\alpha\) :
-
Thermal diffusivity \(\left( {\frac{{{\text{m}}^{2} }}{\text{s}}} \right)\)
- \(\sigma_{\text{nf}}\) :
-
Nanofluid electrical conductivity \(\frac{{\rm{S}}}{{{\rm{cm}}}}\)
- ave:
-
Average
- h:
-
Hot
- c:
-
Cold
- nf:
-
Nanofluid
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AK took part in writing and formal analysis; DB was involved in writing, methodology and formal analysis; RK contributed to writing; AM performed writing and investigation.
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Karimipour, A., Bahrami, D., Kalbasi, R. et al. Diminishing vortex intensity and improving heat transfer by applying magnetic field on an injectable slip microchannel containing FMWNT/water nanofluid. J Therm Anal Calorim 144, 2235–2246 (2021). https://doi.org/10.1007/s10973-020-10261-5
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DOI: https://doi.org/10.1007/s10973-020-10261-5