Civil Engineering > GATE 2022 SET-2 > Water Quality Management
The concentration s(x,t) of pollutants in a one-dimensional reservoir at position x and time t satisfies the diffusion equation
on the domain 0≤x≤L, where D is the diffusion coefficient of the pollutants.
The initial condition s(x,0) is defined by the step-function shown in the figure.
The boundary conditions of the problem are given by
∂s(x,t)∂x=0
at the boundary points x=0 and x=L at all times. Consider D=0.1 m2/s, s0=5 μmol/m, and L=10 m.
The steady-state concentration
&stilde;(L/2)=s(L/2,∞)
at the center x=L/2 of the reservoir (in μmol/m) is (in integer)
The initial condition s(x,0) is defined by the step-function shown in the figure.
∂s(x,t)∂x=0
at the boundary points x=0 and x=L at all times. Consider D=0.1 m2/s, s0=5 μmol/m, and L=10 m.
The steady-state concentration
&stilde;(L/2)=s(L/2,∞)
at the center x=L/2 of the reservoir (in μmol/m) is (in integer)
Correct : 5
Similar Questions
The matrix P is the inverse of a matrix Q. If I denotes the identity matrix, which one of the following options is correct?
The number of parameters in the univariate exponential and Gaussian distributions, respectively, are
Let x be a continuous variable defined over the interval (−∞,∞), and f(x)=e-x-e-x The integral g(x)=∫f(x)dx is equal to
Total Unique Visitors
Loading......