List of top Soil and Water Conservation Engineering Questions on Filtration asked in GATE AG

Apple juice (viscosity = 1.6 cP) is being filtered through a 2 m$^2$ filter under a constant pressure. The juice has solid concentration of 0.04 g.mL$^{-1}$ in filtrate. The total pressure drop is 325.33 kPa. The values of cake and filter medium resistance are $1.85 \times 10^{11}$ m.kg$^{-1}$ and $3.50 \times 10^{11}$ m$^{-1}$, respectively. The time required to filter 800 litres of juice is ________ hour. (Answer in integer)

A 10 ha watershed experiences a rainfall of 15 mm, evapotranspiration of 5 mm, infiltration of 4.5 mm, deep percolation of 2.2 mm, detention storage of 0.5 mm, and other abstraction losses of 0.3 mm during the storm event. Neglecting other surface storages, the total overland flow generated from the watershed due to this storm event is _________\ m$^3$ (Answer in integer).

Apple juice (viscosity = 1.6 cP) is being filtered through a 2 m$^2$ filter under a constant pressure. The juice has solid concentration of 0.04 g.mL$^{-1}$ in filtrate. The total pressure drop is 325.33 kPa. The values of cake and filter medium resistance are $1.85 \times 10^{11}$ m.kg$^{-1}$ and $3.50 \times 10^{11}$ m$^{-1}$, respectively. The time required to filter 800 litres of juice is ________ hour. (Answer in integer)

A 10 ha watershed experiences a rainfall of 15 mm, evapotranspiration of 5 mm, infiltration of 4.5 mm, deep percolation of 2.2 mm, detention storage of 0.5 mm, and other abstraction losses of 0.3 mm during the storm event. Neglecting other surface storages, the total overland flow generated from the watershed due to this storm event is _________m$^3$ (Answer in integer).

In a juice filtration process, solid concentration per m$^3$ of filtrate is 0.2 kg. During filtration of 12.49 m$^3$ of juice, 0.02 m thick cake (porosity of 0.32) is deposited. If 2.5 kg of solid is collected in 180 s, the pressure drop across the cake in kPa is: \[ \text{Absolute viscosity of juice} = 2.12 \times 10^{-3} \, \text{kg m}^{-1}\text{s}^{-1}, \text{Specific cake resistance} = 1.2 \times 10^8 \, \text{m kg}^{-1} \]

The infiltration capacity of a basin is described by Horton's equation: \[ I = 2 + e^{-3t} \] where $I$ is in cm/h and $t$ is in hours. If the duration of the storm event is 2 hours, the depth of infiltration in the last 1 hour of the storm event in mm is:

A walk-in deep freezer wall is made of 120 mm thick brick layer on the outside followed by 75 mm thick concrete and 50 mm thick cork layers inside. The mean temperatures measured over inside and outside wall surfaces are -18°C and 24°C, respectively. The thermal conductivity of brick, concrete and cork are 0.69, 0.76 and 0.043 W m$^{-1$ K$^{-1}$, respectively. Considering one square meter wall surface area, the heat transfer rate in W is _____.} \textit{[Round off to one decimal place]}