Question
In a Lagrangian system, the position of a fluid particle in a flow is described as 𝑥 = 𝑥𝑜𝑒 −𝑘𝑡 and 𝑦 = 𝑦𝑜𝑒𝑘𝑡 where t is the time while 𝑥𝑜, 𝑦𝑜, and k are constants. The flow is
Options :
unsteady and one-dimensional
steady and two-dimensional
steady and one-dimensional
unsteady and two-dimensional
Answer :
steady and two-dimensional
Solution :
x direction scalar of velocity field,
y direction scalar of velocity field
u & v are non zero scalar t 0 ≥ so it is 2D flow.
Continuity equation for steady flow,
0 + 0 = 0 Continuity is satisfied. Hence flow is 2D and steady.
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