A two-dimensional incompressible frictionless flow field is given by $\vec u = x\hat i - y\hat j$. If ρ is the density of the fluid, the expression for pressure gradient vector at any point in the flow field is given as

Question

TuteeHUB · Accepted Answer

$\rho \left( {x\hat i - y\hat j} \right)$

TuteeHUB · Answer

$\rho \left( {x\hat i + y\hat j} \right)$

TuteeHUB · Answer

$ - \rho \left( {x\hat i + y\hat j} \right)$

TuteeHUB · Answer

$ - \rho \left( {{x^2}\hat i + {y^2}\hat j} \right)$

1.	A two-dimensional incompressible frictionless flow field is given by \(\vec u = x\hat i - y\hat j\). If ρ is the density of the fluid, the expression for pressure gradient vector at any point in the flow field is given as
A.	\(\rho \left( {x\hat i + y\hat j} \right)\)
B.	\( - \rho \left( {x\hat i + y\hat j} \right)\)
C.	\(\rho \left( {x\hat i - y\hat j} \right)\)
D.	\( - \rho \left( {{x^2}\hat i + {y^2}\hat j} \right)\)
Answer» C. \(\rho \left( {x\hat i - y\hat j} \right)\)

A two-dimensional incompressible frictionless flow field is given by \(\vec u = x\hat i - y\hat j\). If ρ is the density of the fluid, the expression for pressure gradient vector at any point in the flow field is given as

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