Laplace equation for water flow in soils is given below. {\partial^{2}H}/{\partialx^{2}} + {\partial^{2}H}/{\partialy^{2}} + {\partial^{2}H}/{\partialz^{2}} = 0 Head H does not vary in y and z directions. Boundary conditions are: at x = 0, H = 5; and \frac{dH}{dx} = −1 What is the value of H at x = 1.2 ? __________

GATE Civil Engineering (CE) 2013 Solved Paper

Question : 40 of 65

Marks: +1, -0

Laplace equation for water flow in soils is given below.

\;{∂^{2}H}/{∂x^{2}} + \;{∂^{2}H}/{∂y^{2}} + \;{∂^{2}H}/{∂z^{2}} = 0

Head H does not vary in y and z directions. Boundary conditions are: at x = 0, H = 5; and

\;{dH}/{dx} = −1

What is the value of H at x = 1.2 ? __________

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