Orifice and Free jet Flow Objectives -To determine the coefficient of discharge "Cd", coefficient of velocity "Cv" and the coefficient of contraction "Cc" for an orifice plate.
Experimental Apparatus
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𝑸𝒕𝒉 = 𝑨𝒕𝒉 𝑽𝒕𝒉 , 𝑸𝒕𝒉 → 𝑻𝒉𝒆𝒐𝒓𝒊𝒕𝒊𝒄𝒂𝒍 𝑫𝒊𝒔𝒄𝒉𝒂𝒓𝒈𝒆 𝒎𝟑 /𝒔 𝝅 𝑨𝒕𝒉 = 𝒅𝟐 , 𝑨𝒕𝒉 → 𝑶𝒓𝒊𝒇𝒊𝒄𝒆 𝑨𝒓𝒆𝒂 𝒎𝟐 𝟒 𝑽𝒕𝒉 = √𝟐𝒈𝒉 ,
𝑽𝒕𝒉 → 𝑻𝒉𝒆𝒐𝒓𝒊𝒕𝒊𝒄𝒂𝒍 𝑽𝒆𝒍𝒐𝒄𝒊𝒕𝒚 𝒎/𝒔 𝑽𝒂 = 𝑽𝒕𝒉 𝑪𝒗 𝑸𝒂 = 𝑸𝒕𝒉 𝑪𝒅 𝑨𝒂 = 𝑨𝒕𝒉 𝑪𝒄 𝑸𝒂 = 𝑨𝒂 𝑽𝒂 𝒈 𝒙𝟐 √ 𝑽𝒂 = 𝟐𝒛 𝑪𝒗 =
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𝑽𝒂 𝑽𝒕𝒉
𝑪𝒄 =
𝑪𝒅 𝑪𝒗
𝑪𝒄 = 𝑨𝒂 /𝑨𝒕𝒉 Where, "Cc" is the coefficient of contraction and "Cv" is the coefficient of velocity. 𝑨𝒕𝒉 =
𝝅 𝟐 𝝅 𝑫 = (𝟔 × 𝟏𝟎−𝟑 )𝟐 = 𝟐. 𝟖𝟐𝟕 × 𝟏𝟎−𝟓 𝒎𝟐 𝟒 𝟒 𝑽𝒕𝒉 = √𝟐𝒈𝒉 = 𝟐. 𝟕𝟑 𝒎/𝒔 𝑸𝒕𝒉 = 𝑨𝒕𝒉 𝑽𝒕𝒉 = 𝟕. 𝟕𝟏𝟗 × 𝟏𝟎−𝟓 𝒎𝟑 /𝒔
𝑽 𝟐 × 𝟏𝟎−𝟑 𝑸𝒂 = = = 𝟒. 𝟒𝟒 × 𝟏𝟎−𝟓 𝒎𝟑 /𝒔 𝒕𝒊𝒎𝒆 𝟒𝟓
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