GATE XE 2021 Paper 1 — page 13

Questions 37–39 of 175. Imported answers require review unless explicitly marked reviewed.

A two-dimensional Eulerian velocity field is given (in m/s) by

, where

and

are the coordinates (in meters) in a Cartesian coordinate system. The magnitude of the acceleration (in m/s

, up to one decimal place) of a fluid particle at

m and

m is ________.

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A large pump is to deliver oil at an average velocity (

) of 1.5 m/s. The pump has an impeller diameter (

) of 40 cm and the pressure rise across the pump is 400 kPa. To design this pump, a lab-scale model pump with an impeller diameter of 4 cm is to be used with water as the fluid. The viscosity (

) of the oil is 100 times that of water, and the densities (

) of oil and water are identical. A complete geometric similarity is maintained between the model and prototype. If the pressure rise is a function only of

and

, the pressure rise (in kPa, up to one decimal place) across the model pump is ______.

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Water (density = 10

kg/m

) enters steady into a horizontal pipe bend, which is part of a larger piping system, as shown in the figure. The volumetric flow rate of water is 0.1 m

/s. The gage pressure at the inlet is 500 kPa, while the exit is open to atmosphere. The

-component of the force on the support is

. The absolute value of

(in kN, up to one decimal place) is ___.

Diagram for Engineering Sciences question 18

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2021 · Paper 1

Question 16

Question 17

Question 18