Question

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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Answer :

1.14

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