1
GATE ME 2023
Numerical
+2
-0

The velocity field of a certain two-dimensional flow is given by

V(π‘₯, 𝑦) = π‘˜(π‘₯𝑖̂ βˆ’ 𝑦𝑗̂)

where π‘˜ = 2 s-1. The coordinates π‘₯ and 𝑦 are in meters. Assume gravitational effects to be negligible.

If the density of the fluid is 1000 kg/m3 and the pressure at the origin is 100 kPa, the pressure at the location (2 m, 2 m) is _____________ kPa.

(Answer in integer)

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2
GATE ME 2023
Numerical
+2
-0

Consider a unidirectional fluid flow with the velocity field given by

V(π‘₯, 𝑦, 𝑧, 𝑑) = 𝑒(π‘₯, 𝑑) 𝑖̂

where 𝑒(0,𝑑) = 1. If the spatially homogeneous density field varies with time 𝑑 as

𝜌(𝑑) = 1 + 0.2π‘’βˆ’π‘‘

the value of 𝑒(2, 1) is ______________. (Rounded off to two decimal places) Assume all quantities to be dimensionless.

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3
GATE ME 2023
Numerical
+2
-0

The figure shows two fluids held by a hinged gate. The atmospheric pressure is Pa = 100 kPa. The moment per unit width about the base of the hinge is ____________ kNm/m. (Rounded off to one decimal place)

Take the acceleration due to gravity to be g = 9.8 m/s2.

GATE ME 2023 Fluid Mechanics - Fluid Statics Question 1 English

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4
GATE ME 2023
Numerical
+2
-0

An explosion at time t = 0 releases energy 𝐸 at the origin in a space filled with a gas of density Ο. Subsequently, a hemispherical blast wave propagates radially outwards as shown in the figure.

Let R denote the radius of the front of the hemispherical blast wave. The radius R follows the relationship 𝑅 = π‘˜ π‘‘π‘Ž 𝐸 𝑏 πœŒπ‘, where k is a dimensionless constant. The value of exponent a is ___________.

(Rounded off to one decimal place)

GATE ME 2023 Fluid Mechanics - Fluid Dynamics Question 1 English

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