Abstract
In the current work, the two-fluid model with variable gas properties is used to predict heat transfer and pressure drop in a vertical, adiabatic pipe. The simulation outcomes are compared between the variable and constant gas properties models. The simulation outcomes confirm that there is an insignificant deviation in the results of heat transfer, but there is a considerable deviation in the pressure drop data between the variable and constant gas properties models. The results also show that the restitution coefficients and specularity coefficient do not affect the simulation results. The effects of particle size, loading ratio, and inlet gas velocity on the thermo-hydrodynamic characteristics of gas-particle flows are studied. The simulation results show that there is enhanced heat transfer with increasing the gas-phase Reynolds number. Moreover, the gas-phase Prandtl number variation is not affected by the flow parameters. Finally, a correlation is proposed to predict the two-phase Nusselt number.
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Abbreviations
- BC:
-
Boundary condition
- HTC:
-
Heat transfer coefficient
- HCDR:
-
Heat capacity–density ratio
- PLR:
-
Particle loading ratio
- SC:
-
Specularity coefficient
- SVF:
-
Solid volume fraction
- \({C}_{D}\) :
-
Drag coefficient
- \({C}_{p}\) :
-
Specific heat at constant pressure (J/kgK)
- \(D\) :
-
Diameter of the pipe (m)
- \({d}_{s}\) :
-
Particle size (m)
- \({e}_{\mathrm{ss}}\) :
-
Particle–particle restitution coefficient
- \({e}_{\mathrm{sw}}\) :
-
Particle–wall restitution coefficient
- \(I\) :
-
Unit tensor
- \(k\) :
-
Thermal conductivity (W/mK)
- \(L\) :
-
Length of the pipe (m)
- \(\dot{m}\) :
-
Mass flow rate (kg/s)
- \(\overline{p }\) :
-
Mean pressure (Pa)
- q :
-
Heat flux (W/m2)
- r :
-
Radial distance (m)
- R :
-
Radius of pipe (m)
- R A :
-
Specific gas constant (J/kgK)
- \(\mathrm{Re}\) :
-
Reynolds number
- \(T\) :
-
Temperature (K)
- v :
-
Mean velocity (m/s)
- \({v}_{c}\) :
-
Centerline velocity (m/s)
- \(z\) :
-
Axial distance (m)
- \(\alpha\) :
-
Volume fraction
- \({\theta }_{s}\) :
-
Granular temperature (m2/s2)
- \(\lambda\) :
-
Bulk viscosity (kg/ms)
- \(\mu\) :
-
Viscosity (kg/ms)
- \(\rho\) :
-
Density (kg/m3)
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Patro, B., Kupireddi, K.K. & Devanuri, J.K. Heat Transfer and Pressure Drop Studies of Vertical Gas-Particle Flow Using a Variable Gas Property Two-Fluid Model. Iran J Sci Technol Trans Mech Eng 47, 893–903 (2023). https://doi.org/10.1007/s40997-022-00561-6
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DOI: https://doi.org/10.1007/s40997-022-00561-6