The following data refers to a particular stage of a Parson’s reaction turbine: Mean blade speed = 90 m/s Velocity of steam leaving the nozzle = 120 m/s Nozzle angle = 20° Mass flow rate of steam = 0.8 kg per second Calculate the tangential force on the blade.

The following data refers to a particular stage of a Parson’s reaction turbine: Mean blade speed = 90 m/s Velocity of steam leaving the nozzle = 120 m/s Nozzle angle = 20° Mass flow rate of steam = 0.8 kg per second Calculate the tangential force on the blade. Correct Answer 108.42 N

Cbl= 90 m/s, α = 20°, C1 = 120 m/s, ṁ = 0.8 kg/s Steps of ConstructioSelect a suitable scale and draw a line LM to represent Cbl (=90 m/s). At point M, at an angle of 20° (α), cut a length MS to represent the velocity C1 (=120 m/s). Join LS. Produce L to meet the perpendicular drawn from S at P. Thus inlet triangle is completed. For a Parson’s turbine: Ф = α = 20° and Cr2=C1 = 120 m/s At L, at an angle of 20° (Ф), cut a length LN to represent Cr2(=120 m/s). Join MN. Produce M to meet the perpendicular drawn from N at Q. Thus outlet triangle is completed. By measurement: Cw1 = 112.76 m/s and Cw2 = 22.76 m/s Tangential force = ṁ(Cw1 + Cw2) = 0.8(112.76 + 22.76) = 108.42 N.
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