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A plane flow has velocity components $u=\frac{x}{T_{1}}, v=-\frac{y}{T_{2}}$ and $w=0$ along $x, y$ and $z$ directions respectively, where $T_{1}(\neq 0)$ and $T_{2}(\neq 0)$ are constants having the dimension of time. The given flow is incompressible if
(A) $T_{1}=-T_{2}$
(B) $T_{1}=-\frac{T_{2}}{2}$
(C) $T_{1}=\frac{T_{2}}{2}$
(D) $T_{1}=T_{2}$


Question ID - 156362 | Toppr Answer

A plane flow has velocity components $u=\frac{x}{T_{1}}, v=-\frac{y}{T_{2}}$ and $w=0$ along $x, y$ and $z$ directions respectively, where $T_{1}(\neq 0)$ and $T_{2}(\neq 0)$ are constants having the dimension of time. The given flow is incompressible if
(A) $T_{1}=-T_{2}$
(B) $T_{1}=-\frac{T_{2}}{2}$
(C) $T_{1}=\frac{T_{2}}{2}$
(D) $T_{1}=T_{2}$

1 Answer - 5876 Votes

3537

Answer Key : (D) -

$T_{1}=T_{2}$



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