Abstract
Two-phase heat transfer involving two immiscible systems is gaining importance in petrochemical and allied industries. Varying compositions of second component (liquid) and water were experimentally studied in the shell side of a 1:2 shell-and-tube heat exchanger. The single-phase heat transfer coefficient on pure water and pure liquid were fitted to the Reynolds number range studied for generating the two-phase parameter correlation. The two-phase multiplier was related to the Lockhart–Martinelli (L-M) parameter using the two-phase experimental data and a correlation was established. The two-phase heat transfer coefficient was calculated based on the coefficients a and m for single-phase data along with two-phase multiplier and L-M parameter. The calculated values of the two-phase heat transfer coefficient based on pure component and pure water suggest that water is a better reference fluid for the two-phase liquid-water systems studied and obtained with an average error ranging between 0.74 and 1.89%. In this experimental work, a general correlation was also developed with respect to dimensionless groups by fitting the two-phase experimental data of seven two-phase systems studied and proved with minimum average absolute deviation between experimental and theoretical values.
NOMENCLATURE
a, m | = | constants for pure water and pure liquid in EquationEq. (3)(3) |
Ah | = | surface area of heat transfer, m2 |
b, c | = | constants of saturated growth correlation (13) |
Cp | = | specific heat, J/kg-K |
D | = | diameter, m |
Ft | = | LMTD correction factor |
h | = | heat transfer coefficient, W m−2 K−1 |
k | = | thermal conductivity, W m−1 K−1 |
m | = | mass flow rate of fluid, kg/s |
Nu | = | Nusselt number |
Pr | = | Prandtl number |
Pt | = | tube pitch, m |
Q | = | heat transfer rate, W |
R, S | = | dimensionless temperature ratios |
Re | = | Reynolds number |
T | = | temperature of fluid, K |
U | = | overall heat transfer coefficient, W m−2 K−1 |
V | = | volumetric flow rate, m3 s−1 |
X | = | quality for varying composition of two-phase fluid |
Greek Symbols
χtt2 | = | Lockhart–Martinelli (L-M) parameter |
ΦL | = | two-phase multiplier |
ν | = | velocity, m/s |
μ | = | viscosity, kg m−1 s−1 |
ρ | = | density, kg m−3 |
ΔTlm | = | logarithmic mean temperature difference, K |
ΔTm | = | true mean temperature difference, K |
Subscripts
h | = | heat transfer |
i | = | inside diameter |
o | = | outside diameter |
e | = | equivalent diameter |
1φ | = | single phase (liquid) in shell side |
2φ | = | two phases (liquid–water) in shell side |
1tφ | = | hot water in tube side |
f | = | liquid in the shell side |
lm | = | logarithmic mean temperature difference |
m | = | true mean temperature difference |
w | = | water in the shell side |
wa | = | tube wall material |
s1 | = | inlet temperature of shell-side fluid |
s2 | = | outlet temperature of shell-side fluid |
t1 | = | inlet temperature of tube-side fluid |
t2 | = | outlet temperature of tube side fluid |
s | = | shell-side fluid |
exp | = | experimental |
cal | = | calculated |
Additional information
Notes on contributors
Vaidyanathan Alagesan
Vaidyanathan Alagesan is a senior assistant professor in the School of Chemical and Biotechnology at SASTRA University and pursuing his Ph.D. in the area of two-phase heat transfer at SASTRA University, Thanjavur, Tamil Nadu, India. He obtained his master's degree in chemical engineering from Coimbatore Institute of Technology, Bharathiyar University, India. His areas of interest include two-phase flow, chemical engineering, separation technology, and biochemical engineering.
Srinivasan Sundaram
Srinivasan Sundaram received his Ph.D. degree in chemical engineering from Indian Institute of Science, Bangalore, in 1969. Currently he is a visiting professor in the Department of Electronics and Instrumentation at SASTRA University, Thanjavur. He has co-authored more than 100 refereed journals and conference proceedings, besides contributing to a number of books. His research interests include chemical engineering, biomedical engineering, instrumentation, and process control.