Abstract
Single-walled carbon nanotube–water nanofluids were tested in a 1–5 TEMA E shell and coil heat exchanger. Cold nanofluid, flowing inside the coil, was heated by hot water flowing in the shell side. Volumetric fraction of nanoparticles, inlet temperature of nanofluid, and mass flow rate of nanofluids ranged from 0 to 0.21%, 2.3 to 23.4 °C, and 40 to 90 g/s, respectively. For a given Reynolds number, at the coil side, pure base fluid (φ = 0%) performed better than low-concentration nanofluid samples (φ = 0.035% and 0.053%) and was nearly equivalent to the nanofluid of highest concentration, φ = 0.21%. The thermal conductivity enhancement factor of the nanofluid ranged from 0 to 0.2 and to 0.45, at inlet temperatures of 30 °C and 50 °C, respectively. It is believed to work in favor of a better performance of the nanofluid samples. On the other hand, the unusual (literature-wise) low temperature of the nanofluid further amplified the enhancement of the nanofluid viscosity, with a reduction effect on the Reynolds number. Besides, other thermal resistances of the heat exchanger work toward an attenuation of the enhancement effect that nanoparticles may have in the heat exchanger performance.
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Abbreviations
- \(A\) :
-
Area (m2)
- \(a_{0} ,a_{1} \,\) :
-
Coefficients of linear adjustment for thermal conductivity enhancement factor (–)
- \(B\) :
-
Coefficient of heat transfer fluid thermal resistance equation (–)
- \(\dot{C}\) :
-
Thermal capacity rate (kW/K)
- \(\dot{C}_{\min }\) :
-
Minimum thermal capacity rate (kW/K)
- \(c_{{\text{p}}}\) :
-
Specific heat at constant pressure (kJ/kg K)
- \(D\) :
-
Coil diameter (m)
- \(D_{\text{h}}\) :
-
Hydraulic diameter (m)
- \(f\) :
-
Fanning friction factor (–)
- \(F_{t} \,\) :
-
Correction factor for heat exchanger temperature difference (–)
- \(k\) :
-
Thermal conductivity (kW/m K)
- \(L\) :
-
Coil total length (m)
- \(m\) :
-
Exponent of heat transfer fluid thermal resistance equation (–)
- \(\dot{m}\) :
-
Mass flow rate (kg/s)
- \(\dot{m}_{{{\text{sf}}}}^{{}}\) :
-
Secondary fluid mass flow rate (kg/s)
- \({\text{NTU}}\) :
-
Number of transfer units (–)
- \(P\) :
-
Pressure (kPa)
- \(\dot{Q}\) :
-
Heat transfer rate (kW)
- \(R\) :
-
Thermal resistance (K/kW)
- \(R_{{{\text{nf}}}}\) :
-
Thermal resistance in the nanofluid side (K/kW)
- \(R_{{{\text{UA}}}}\) :
-
Thermal resistance due to the heat exchanger conductance (K/kW)
- \({\text{Re}}\) :
-
Reynolds number (–)
- \(T\) :
-
Temperature (°C)
- \(T_{{{\text{sf}}\_{\text{cold}}}}\) :
-
Temperature of the cold side of the secondary fluid circuit (°C)
- \(T_{{{\text{sf}}\_{\text{hot}}}}\) :
-
Temperature of the hot side of the secondary fluid circuit (°C)
- \(T_{{{\text{sf}}\_{\text{in}}}}\) :
-
Temperature of secondary fluid entering the evaporator (°C)
- \(T_{{{\text{sf}}\_{\text{out}}}}\) :
-
Temperature of the secondary fluid leaving the evaporator (°C)
- \(T_{{{\text{w}}\_{\text{in}}}}\) :
-
Water inlet temperature (°C)
- \(T_{{{\text{w}}\_{\text{out}}}}\) :
-
Water outlet temperature (°C)
- \(T_{{{1} }}\) :
-
Compressor refrigerant inlet temperature (°C)
- \(T_{3}\) :
-
Condenser refrigerant outlet temperature (°C)
- \(U\) :
-
Overall heat transfer coefficient (kW/m2 K)
- \({\text{UA}}\) :
-
Heat exchanger overall conductance (kW/K)
- \({\text{wt}}\) :
-
Mass fraction of nanoparticles (%)
- \(x_{n}\) :
-
Generic measured parameter of Eq. (18)
- EEV:
-
Electronic expansion valve
- HCT:
-
Helically coiled tube heat exchanger
- LMTD:
-
Logarithmic mean temperature difference
- MWCNT:
-
Multi-walled carbon nanotube
- SCHX:
-
Shell and coil heat exchanger
- SMWCNT:
-
Single-walled carbon nanotube
- TEMA:
-
Tubular exchanger manufacturers association
- \(\alpha\) :
-
Heat transfer coefficient (kW/m2 K)
- \(\Delta T_{a}\) :
-
Temperature difference between fluids at side a of the heat exchanger (K)
- \(\Delta T_{b}\) :
-
Temperature difference between fluids at side b of the heat exchanger (K)
- \(\overline{\Delta T}_{\ln }\) :
-
Logarithmic mean temperature difference (K)
- \(\varepsilon\) :
-
Heat exchanger effectiveness (–)
- \(\mu\) :
-
Dynamic viscosity (kg/m s)
- \(\rho\) :
-
Density (kg/m3)
- \(\varphi\) :
-
Volumetric fraction of nanoparticle (%)
- \(\eta_{\text{p}}\) :
-
Pump efficiency (–)
- \(\xi_{k}\) :
-
Nanofluid thermal conductivity enhancement factor (–)
- \(\xi_{\mu }\) :
-
Nanofluid dynamic viscosity enhancement factor (–)
- a, b:
-
Physical sides of the heat exchanger
- bf:
-
Base fluid
- HTF:
-
Heat transfer fluid
- i:
-
Inner
- in:
-
Inlet
- k:
-
Thermal conductivity
- K:
-
In Kelvin (for temperatures)
- loss:
-
Relative to heat loss across the heat exchanger shell
- min:
-
Minimum
- nf:
-
Nanofluid
- np:
-
Nanotube
- o:
-
Outer
- out:
-
Outlet
- t:
-
t
- w:
-
Water
- wt:
-
Water
- µ :
-
Viscosity
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The authors are indebted to CNPq, CAPES, FAPERJ, and FAPEMIG for the financial support.
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Sica, L.U.R., Vasconcelos, A.A., Parise, J.A.R. et al. Thermal performance analysis of a 1–5 TEMA E shell and coil heat exchanger operating with SWCNT–water nanofluid with varied nanoparticle concentration. J Braz. Soc. Mech. Sci. Eng. 43, 122 (2021). https://doi.org/10.1007/s40430-021-02833-9
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DOI: https://doi.org/10.1007/s40430-021-02833-9