Consider the following equations: (1) A_1V_1 = A_2 V_2 (2) \partialu/\partialx+\partialv/\partialy=0 (3) \int_{S}pv. dA+\partial/{\partialt}\int_{V} pdV= 0 (4) 1/r\partial/\partialr(rv_r)+\partial/\partialz(v_2)=0 Which of the above equations are forms of Continuity equations (where u, v are velocities and v is a volume)

SSC JE Mechanical Engineering 2018 Set 3 Paper

Question : 187 of 200

Marks: +1, -0

Consider the following equations:
(1)

A_1V_1 = A_2 V_2

(2)

∂u/∂x+∂v/∂y=0

(3)

∫↙{S}pv. dA+∂/{∂t}∫↙{V} pdV= 0

(4)

1/r∂/∂r(rv_r)+∂/∂z(v_2)=0

Which of the above equations are forms of Continuity equations (where u, v are velocities and v is a volume)

Solution:

Continuity equation for flow in pipe where fluid is incompressible

A_1V_1 = A_2V_2

For 2 – D flow continuity eq

^{n}

∂u/∂x+∂v/∂y=0

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