Question

Consider a unidirectional fluid flow with the velocity field given by

V(𝑥, 𝑦, 𝑧,𝑡) = 𝑢(𝑥,𝑡) 𝑖̂

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

𝜌(𝑡) = 1 + 0.2𝑒−𝑡

the value of 𝑢(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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