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ABSTRACT
The present paper considers hybrid-linked jet impingement cooling channels that involve both parallel-linked jets and series-linked jets. Systematic analysis was conducted with the aid of computational fluid dynamics and response surface methodology. Of particular interest is the impact of topology on heat transfer and pressure drop, which is considerably new to studies on jet impingement. The results obtained indicate that the topology number developed in this study works well with the response surface methodology. Among the tested topologies, series-linked jet impingement has significantly higher heat transfer and pressure drop than traditional parallel-linked jet impingement.
Nomenclature
| A | = | area, m2 |
| Ch | = | regression coefficient for heat transfer |
| Cp | = | regression coefficient for pressure drop |
| Dj | = | impingement hole diameter, mm |
| h | = | heat transfer coefficient, W/m2K |
| k | = | thermal conductivity, W/mK |
| L | = | thickness of the horizontal jet plate, mm |
| m | = | mass flow rate, kg/s |
| n | = | jet number |
| np | = | number of input parameters for the CCD method |
| nc | = | central points for the CCD method |
| N | = | number of cases in the test matrix |
| Nu | = | Nusselt number |
| Px | = | jet hole pitch in the stream-wise direction, mm |
| Py | = | jet hole pitch in the span-wise direction, mm |
| Pz | = | distance from jet exit to target wall, mm |
| p | = | pressure, Pa |
| pt,i | = | inlet total pressure, Pa |
| po | = | outlet static pressure, Pa |
| p* | = | pressure normalized by outlet pressure |
| RD | = | jet diameter ratio |
| Re | = | Reynolds number |
| u | = | velocity, m/s |
| t | = | thickness of the vertical jet plate, mm |
| T | = | temperature, K |
| Tc | = | coolant inlet temperature, K |
| Tw | = | wall temperature, K |
| wo | = | outlet slot width, mm |
| y+ | = | y plus value for turbulence modeling |
| Greek symbols | = | |
| ε | = | logical value to determine the location of jets |
| μ | = | dynamic viscosity, Pa · s |
| ρ | = | density, kg/m3 |
| Σ | = | topology parameter |
Nomenclature
| A | = | area, m2 |
| Ch | = | regression coefficient for heat transfer |
| Cp | = | regression coefficient for pressure drop |
| Dj | = | impingement hole diameter, mm |
| h | = | heat transfer coefficient, W/m2K |
| k | = | thermal conductivity, W/mK |
| L | = | thickness of the horizontal jet plate, mm |
| m | = | mass flow rate, kg/s |
| n | = | jet number |
| np | = | number of input parameters for the CCD method |
| nc | = | central points for the CCD method |
| N | = | number of cases in the test matrix |
| Nu | = | Nusselt number |
| Px | = | jet hole pitch in the stream-wise direction, mm |
| Py | = | jet hole pitch in the span-wise direction, mm |
| Pz | = | distance from jet exit to target wall, mm |
| p | = | pressure, Pa |
| pt,i | = | inlet total pressure, Pa |
| po | = | outlet static pressure, Pa |
| p* | = | pressure normalized by outlet pressure |
| RD | = | jet diameter ratio |
| Re | = | Reynolds number |
| u | = | velocity, m/s |
| t | = | thickness of the vertical jet plate, mm |
| T | = | temperature, K |
| Tc | = | coolant inlet temperature, K |
| Tw | = | wall temperature, K |
| wo | = | outlet slot width, mm |
| y+ | = | y plus value for turbulence modeling |
| Greek symbols | = | |
| ε | = | logical value to determine the location of jets |
| μ | = | dynamic viscosity, Pa · s |
| ρ | = | density, kg/m3 |
| Σ | = | topology parameter |