Flow Nets for Homogeneous Isotropic Systems. Kumar, A. Technical Report 2021.
abstract   bibtex   
A flow net is a graphical solution to the equations of steady groundwater flow. A flow net consists of two sets of lines which must always be orthogonal (perpendicular to each other): flow lines, which show the direction of groundwater flow, and equipotentials (lines of constant head), which show the distribution of potential energy. Flow nets are usually constructed through trial-and-error sketching. To construct a flow net: 1. make a two-dimensional scale drawing of the system under consideration (usually a profile, but may be a map view.) 2. determine or specify the boundary conditions, i.e., indicate/label the position of the water table, of any impermeable boundaries, of any points of known head or known pressure. a. any surface of constant head (e.g., bottom of a flat-bottomed reservoir) is by definition an equipotential, and flow lines must meet it at right angles. b. since flow cannot cross impermeable boundaries, the flow at such a boundary must be parallel to it, i.e., impermeable boundaries are flow lines, and equipotentials must meet them at right angles. c. the water table is, by definition, the surface where P = 0; it can thus be an equipotential only if it is horizontal. At any point on the water table (no matter whether it is flat or sloping) h = z, where z is the elevation of the water table above the datum. If there is no seepage percolating down to the water table, it can be considered a flow line. In the general case however (sloping water table, seepage across it), the water table is neither a flow line nor an equipotential, and flow lines will intersect it at an angle.
@techreport{kumar_flow_2021,
	title = {Flow {Nets} for {Homogeneous} {Isotropic} {Systems}},
	abstract = {A flow net is a graphical solution to the equations of steady groundwater flow. A flow net consists of two sets of lines which must always be orthogonal (perpendicular to each other): flow lines, which show the direction of groundwater flow, and equipotentials (lines of constant head), which show the distribution of potential energy. Flow nets are usually constructed through trial-and-error sketching. To construct a flow net: 1. make a two-dimensional scale drawing of the system under consideration (usually a profile, but may be a map view.) 2. determine or specify the boundary conditions, i.e., indicate/label the position of the water table, of any impermeable boundaries, of any points of known head or known pressure. a. any surface of constant head (e.g., bottom of a flat-bottomed reservoir) is by definition an equipotential, and flow lines must meet it at right angles. b. since flow cannot cross impermeable boundaries, the flow at such a boundary must be parallel to it, i.e., impermeable boundaries are flow lines, and equipotentials must meet them at right angles. c. the water table is, by definition, the surface where P = 0; it can thus be an equipotential only if it is horizontal. At any point on the water table (no matter whether it is flat or sloping) h = z, where z is the elevation of the water table above the datum. If there is no seepage percolating down to the water table, it can be considered a flow line. In the general case however (sloping water table, seepage across it), the water table is neither a flow line nor an equipotential, and flow lines will intersect it at an angle.},
	author = {Kumar, Ashok},
	year = {2021},
}

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