GATE XE 2024 Paper 1 — page 14

Questions 40–42 of 175. Imported answers require review unless explicitly marked reviewed.

The axial velocity profile of a laminar, incompressible and fully-developed flow in a circular pipe of radius (R) is given as

, where

, and

are radial direction, axial direction, fluid viscosity, and pressure, respectively. If the average velocity of the flow is given by

, then the value of K (answer in integer) is _____.

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The velocity potential function in a two-dimensional flow field is given by

m²/s where

per second and

per second. The magnitude of the velocity (in m/s, answer in integer) at

m is _____.

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Consider the incompressible, steady and irrotational flow through a concentric reducer in a horizontal pipeline. The pipe diameter reduces from

cm to

cm as shown in figure. The pressure at position 1 and position 2 of the reducer is

kPa and

kPa, respectively. The specific weight of fluid is 7 kN/m³. Acceleration due to gravity is 10 m/s².

Neglecting frictional effects, the mass flow rate (in kg/s, rounded off to two decimal places) of the fluid through the reducer is _____.

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2024 · Paper 1