Chemegate

GATE 2026 Chemical Engineering, Q32 · Fluid Mechanics

The correct answer is 0.63 to 0.65.

Question

Water is discharged from vertical side of a tank through a circular orifice of diameter 2 cm under laminar flow conditions. The water surface in the tank is maintained at constant level above the center of the orifice. If the fluid jet has a diameter of 1.6 cm at its vena contracta, then the coefficient of contraction is ________________ (rounded off to two decimal places).

Official answer: 0.63 to 0.65

Why

GATE 2026 official key: 0.63 to 0.65. Coefficient of contraction Cc =Ajet/Aorifice=(djet/dorifice)2= A_{jet}/A_{orifice} = (d_{jet}/d_{orifice})² since both cross-sections are circular; Cc =(1.6/2)2=0.64.= (1.6/2)² = 0.64.

Explanation cross-checked for consistency. Final answer matches the official IIT answer key.