Laplace equation is second order derivative of the form shown below. where phi is a potential function. This equation is used to describe the behavior of electric, gravitational, and fluid potentials. In the study of heat conduction, the Laplace equation is the steady-state heat equation. This equation also describes seepage underneath the dam. Direct solution [...]
Category Archives: Hydraulics
Most efficient trapezoidal section of canal
The most efficient trapezoidal section of canal can be calculated as follows Let, Base width of the canal=B Side slope=m (1V:mH) Flow depth = h Wetted perimeter= P The cross sectional area, A=By+my^2 ie B= (A-m*h^2)/h ie B=A/h-m*h Wetted perimeter P= B+2*h *sqrt(m^2+1) For most efficient channel, dP/dh=0 ie -A-m*y^2+2 y^2 sqrt(m^2+1)=0 ie B= y(2*sqrt(m2+1)-1-m) [...]
