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ABSTRACT
In this paper, force convective flow and heat transfer characteristics past an unconfined blunt headed cylinder has been computed for various ranges of Reynolds and Prandtl
numbers. The mathematical model is first validated with the available results from literature and are found to be in good agreement. The boundary layer separation and the local and overall heat transfer rates are determined from the numerical simulations. For the present ranges of Re and Pr, an empirical correlation is proposed for the average Nusselt number as: Nuavg = 0.574 Re0.359Pr0.465. Of particular interest, the implications of Re and Pr on the system irreversibility have been identified through an entropy generation analysis.
Nomenclature
| CD | = | coefficient of drag (dimensionless) |
| CL | = | coefficient of lift (dimensionless) |
| CL,RMS | = | root mean square (RMS) coefficient of lift (dimensionless) |
| CM | = | coefficient of moment (dimensionless) |
| D | = | diameter of the cylinder (m) |
| FD | = | drag force acting on the cylinder (N/m) |
| FL | = | lift force acting on the cylinder (N/m) |
| = | force vector acting on the cylinder (N/m) | |
| H | = | height of the domain (m) |
| L | = | length of the domain (m) |
| NuL | = | local Nusselt number (dimensionless) |
| Nuavg | = | average Nusselt number over the cylinder surface (dimensionless) |
| Re | = | Reynolds number |
| Pr | = | Prandtl number |
| St | = | Strouhal number (dimensionless) |
| TW | = | temperature of the cylinder (K) |
| = | temperature of free stream (K) | |
| t | = | nondimensional time (dimensionless) |
| u, v | = | velocity components in x and y directions (m/s) |
| = | free stream velocity (m/s) | |
| x, y | = | Cartesian coordinates |
| Greek symbols | = | |
| α | = | angle of incidence (°) |
| γ | = | thermal diffusivity of the fluid (m2/s) |
| μ | = | viscosity of the fluid (Pa · s) |
| ν | = | kinematic viscosity of the fluid (m2/s) |
| θ | = | dimensionless temperature (dimensionless) |
| ρ | = | density of the fluid (kg/m3) |
| τ | = | time period in a vortex shedding cycle (dimensionless) |
| Subscripts | = | |
| ∞ | = | inlet condition |
| w | = | wall |
| avg | = | average |
Nomenclature
| CD | = | coefficient of drag (dimensionless) |
| CL | = | coefficient of lift (dimensionless) |
| CL,RMS | = | root mean square (RMS) coefficient of lift (dimensionless) |
| CM | = | coefficient of moment (dimensionless) |
| D | = | diameter of the cylinder (m) |
| FD | = | drag force acting on the cylinder (N/m) |
| FL | = | lift force acting on the cylinder (N/m) |
| = | force vector acting on the cylinder (N/m) | |
| H | = | height of the domain (m) |
| L | = | length of the domain (m) |
| NuL | = | local Nusselt number (dimensionless) |
| Nuavg | = | average Nusselt number over the cylinder surface (dimensionless) |
| Re | = | Reynolds number |
| Pr | = | Prandtl number |
| St | = | Strouhal number (dimensionless) |
| TW | = | temperature of the cylinder (K) |
| = | temperature of free stream (K) | |
| t | = | nondimensional time (dimensionless) |
| u, v | = | velocity components in x and y directions (m/s) |
| = | free stream velocity (m/s) | |
| x, y | = | Cartesian coordinates |
| Greek symbols | = | |
| α | = | angle of incidence (°) |
| γ | = | thermal diffusivity of the fluid (m2/s) |
| μ | = | viscosity of the fluid (Pa · s) |
| ν | = | kinematic viscosity of the fluid (m2/s) |
| θ | = | dimensionless temperature (dimensionless) |
| ρ | = | density of the fluid (kg/m3) |
| τ | = | time period in a vortex shedding cycle (dimensionless) |
| Subscripts | = | |
| ∞ | = | inlet condition |
| w | = | wall |
| avg | = | average |