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Recent questions tagged laplace-equation
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GATE2019 CE-1: 2
Consider a two-dimensional flow through isotropic soil along $x$ direction and $z$ direction. If $h$ is the hydraulic head, the Laplace's equation of continuity is expressed as $\dfrac{\partial h}{\partial x}+ \dfrac{\partial h}{\partial z} = 0 \\$ ...
Arjun
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Partial Differential Equation (PDE)
Feb 14, 2019
by
Arjun
11.6k
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gate2019-ce-1
partial-differential-equation
laplace-equation
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GATE Civil 2013 | Question: 30
Laplace equation for water flow in soils is given below. $\dfrac{\partial ^2H}{\partial x^2} + \dfrac{\partial ^2H}{\partial y^2} + \dfrac{\partial ^2H}{\partial z^2} = 0$ Head $H$ does not vary in $y$ and $z$ directions. Boundary conditions are: at $x=0$, $H=5$; and $\dfrac{dH}{dx}=-1$. What is the value of $H$ at $x=1.2$? __________
Milicevic3306
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Partial Differential Equation (PDE)
Mar 26, 2018
by
Milicevic3306
11.9k
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gate2013-ce
numerical-answers
partial-differential-equation
laplace-equation
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