Which of the following statements is TRUE for the relation between dis...
Relation between discharge velocity and seepage velocity
Introduction:
Discharge velocity and seepage velocity are two important parameters in fluid mechanics and groundwater flow. Discharge velocity is the velocity at which water flows through a pipe or channel, while seepage velocity is the velocity at which water flows through soil or rock.
Statement:
The true statement for the relation between discharge velocity and seepage velocity is that seepage velocity can never be smaller than discharge velocity.
Explanation:
Seepage velocity is the rate at which water flows through the soil or rock matrix, and it is governed by the permeability of the material. Permeability is a measure of the ease with which water can flow through a material and is dependent on factors such as porosity, grain size, and shape. On the other hand, discharge velocity is the rate at which water flows through a pipe or channel, and it is dependent on factors such as the cross-sectional area of the pipe or channel, the pressure gradient, and the viscosity of the fluid.
Seepage velocity can never be smaller than discharge velocity because the permeability of the soil or rock matrix is always less than the hydraulic conductivity of the pipe or channel. Hydraulic conductivity is a measure of the ability of a material to transmit water and is dependent on the permeability, porosity, and other factors. Therefore, the seepage velocity of water through soil or rock will always be slower than the discharge velocity of water through a pipe or channel.
Conclusion:
In conclusion, the true statement for the relation between discharge velocity and seepage velocity is that seepage velocity can never be smaller than discharge velocity. This is because the permeability of the soil or rock matrix is always less than the hydraulic conductivity of the pipe or channel.