Fluid Mechanics and Hydraulic Machinery Miscellaneous
- Circulation is defined as line integral of tangential component of velocity about a _______ (fill in the blanks)
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In a flow field, closed contour exists.
Correct Option: C
In a flow field, closed contour exists.
- Shown below are three pipe sections through which water flows as shown. Option a to d below pertain to the direction of the net force on the pipe section due to the flow of water.
45° to both +ve x and +ve y axes
45° to both -ve x and +ve y axes
45° to both +ve x and -ve y axes
45° to both -ve x and -ve y axes
State which of the options indicate the correct direction of force for pipe 1, pipe 2 and pipe 3
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1 – d, 2 – d, 3 – b
Correct Option: A
1 – d, 2 – d, 3 – b
- The stream function in a two dimensional flow field is given by ψ = x² – y² The magnitude of the velocity at point (1, 1) is
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Stream function, ψ = x² – y²
u = -∂ψ = -∂ (x2 - y2) = 2y ∂y ∂y or V = -∂ψ = ∂ (x2 - y2) = 2x ∂x ∂x
V = uî + vĵ at (1, 1) = 2î + 2ĵ
V = √(2)² + (2)² = 2√2Correct Option: B
Stream function, ψ = x² – y²
u = -∂ψ = -∂ (x2 - y2) = 2y ∂y ∂y or V = -∂ψ = ∂ (x2 - y2) = 2x ∂x ∂x
V = uî + vĵ at (1, 1) = 2î + 2ĵ
V = √(2)² + (2)² = 2√2
- In given figure, if the pressure of gas in bulb A is 50 cm Hg vacuum and patm = 76 cm Hg, then height of column H is equal to
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pA = 50 cm Hg vacuum = pHCorrect Option: B
pA = 50 cm Hg vacuum = pH
- Refer to figure, the absolute pressure of gas A in the bulb is
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Patm = 760 mm Hg
Let PA be the absolute pressure at 'A'
Pressure at D = Pressure at E
or PA + PCD = Patm + PAF + PFEPA + 170 = 760 + 50 + 20 13.6 13.6
PA = 771.2 mm HgCorrect Option: A
Patm = 760 mm Hg
Let PA be the absolute pressure at 'A'
Pressure at D = Pressure at E
or PA + PCD = Patm + PAF + PFEPA + 170 = 760 + 50 + 20 13.6 13.6
PA = 771.2 mm Hg