Journal of Mechanical Science and Technology

, Volume 19, Issue 8, pp 1632–1648 | Cite as

Reynolds number effects on the non-nulling calibration of a cone-type five-hole probe for turbomachinery applications



The effects of Reynolds number on the non-nulling calibration of a typical cone-type fivehole probe have been investigated for the representative Reynolds numbers in turbomachinery. The pitch and yaw angles are changed from −35 degrees to 35 degrees with an angle interval of 5 degrees at six probe Reynolds numbers in range between 6.60 × 103 and 3.17× 104. The result shows that not only each calibration coefficient itself but also its Reynolds number dependency is affected significantly by the pitch and yaw angles. The Reynolds-number effects on the pitchand yaw-angle coefficients are noticeable when the absolute values of the pitch and yaw angles are smaller than 20 degrees. The static-pressure coefficient is sensitive to the Reynolds number nearly all over the pitch- and yaw-angle range. The Reynolds-number effect on the totalpressure coefficient is found remarkable when the absolute values of the pitch and yaw angles are larger than 20 degrees. Through a typical non-nulling reduction procedure, actual reduced values of the pitch and yaw angles, static and total pressures, and velocity magnitude at each Reynolds number are obtained by employing the calibration coefficients at the highest Reynolds number (Re=3.17×104) as input reference calibration data. As a result, it is found that each reduced value has its own unique trend depending on the pitch and yaw angles. Its general tendency is related closely to the variation of the corresponding calibration coefficient with the Reynolds number. Among the reduced values, the reduced total pressure suffers the most considerable deviation from the measured one and its dependency upon the pitch and yaw angles is most noticeable. In this study, the root-mean-square data as well as the upper and lower bounds of the reduced values are reported as a function of the Reynolds number. These data would be very useful in the estimation of the Reynolds-number effects on the non-nulling calibration.

Key Words

Five-Hole Probe Non-Nulling Calibration Reynolds Number Turbomachinery 



Pseudo Mach number, Eq. (7)


Pitch-angle coefficient, Eq. (1)


Static-pressure coefficient, Eq. (3)


Total-pressure coefficient, Eq. (4)


Yaw-angle coefficient, Eq. (2)


Diameter of five-hole probe


Mach number


Average pressure, Eq. (5)


Pressure measured at the i-th pressuresensing hole of five-hole probe


Static pressure or measured static pressure


Reduced static pressure


Total pressure or measured total pressure

Reduced total pressure


Velocity magnitude or measured velocity magnitude


Reduced velocity magnitude, Eq. (6)


Reynolds number=U∞D/v


Free-stream velocity

Greek symbols


Pitch angle or rotated pitch angle


Reduced pilch angle


Yaw angle or rotated yaw angle


Reduced yaw angle


Kinematic viscosity


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Copyright information

© The Korean Society of Mechanical Engineers (KSME) 2005

Authors and Affiliations

  1. 1.School of Mechanical EngineeringKumoh National Institute of TechnologyGyongbookRepublic of Korea

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