List of top Water Resources Engineering Questions on Flow in pipes asked in GATE CE

Consider the rigid bar ABC supported by the pin-jointed links BD and CE and subjected to a load \(P\) at the end \(A\), as shown in the figure. The axial rigidities of BD and CE are 22500 kN and 15000 kN, respectively. If CE elongates by 5 mm due to the load \(P\), the magnitude of the downward deflection (in mm) of the end \(A\) would be ........ (rounded off to the nearest integer). 

Consider the rigid bar ABC supported by the pin-jointed links BD and CE and subjected to a load \(P\) at the end \(A\), as shown in the figure. The axial rigidities of BD and CE are 22500 kN and 15000 kN, respectively. If CE elongates by 5 mm due to the load \(P\), the magnitude of the downward deflection (in mm) of the end \(A\) would be ........ (rounded off to the nearest integer).
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Two reservoirs are connected by two parallel pipes of equal length and of diameters 20 cm and 10 cm, as shown in the figure (not drawn to scale). When the difference in the water levels of the reservoirs is 5 m, the ratio of discharge in the larger diameter pipe to the discharge in the smaller diameter pipe is \(\underline{\hspace{2cm}}\) (round off to two decimal places). 

A pump with an efficiency of 80% is used to draw groundwater from a well for irrigating a flat field of area 108 hectares. The base period and delta for paddy crop on this field are 120 days and 144 cm, respectively. Water application efficiency in the field is 80%. The lowest level of water in the well is 10 m below the ground. The minimum required horse power (h.p.) of the pump is _________ (round off to two decimal places).
A fluid flowing steadily in a circular pipe of radius \( R \) has a velocity that is everywhere parallel to the axis (centerline) of the pipe. The velocity distribution along the radial direction is \[ V_r = U \left( 1 - \frac{r^2}{R^2} \right) \] where \( r \) is the radial distance as measured from the pipe axis and \( U \) is the maximum velocity at \( r = 0 \). The average velocity of the fluid in the pipe is