% Parameters D = 0.1; % Diameter of the tube (m) L = 1.0; % Length of the tube bundle (m) N = 8; % Number of tubes in the bundle U = 1.0; % Inlet velocity (m/s) rho = 1.2; % Density of the fluid (kg/m^3) mu = 0.01; % Dynamic viscosity of the fluid (Pa.s) % Define the grid size and time step dx = D/10; % Spatial step size (m) dy = L/10; % Spatial step size (m) dt = 0.01; % Time step size (s) % Calculate the number of grid points in each direction nx = ceil(D/dx) + 1; ny = ceil(L/dy) + 1; % Create the velocity matrix U_matrix = U * ones(nx, ny); % Perform the iterations for iter = 1:100 % Calculate the velocity gradients dUdx = (U_matrix(:, 2:end) - U_matrix(:, 1:end-1)) / dx; dUdy = (U_matrix(2:end, :) - U_matrix(1:end-1, :)) / dy; % Calculate the pressure gradients dpdx = -mu * dUdx; dpdy = -mu * dUdy; % Calculate the change in velocity dU = dt * (dpdx / rho); % Update the velocity matrix U_matrix(:, 2:end-1) = U_matrix(:, 2:end-1) + dU; % Apply boundary conditions U_matrix(1, :) = U; % Inlet boundary U_matrix(end, :) = 0; % Outlet boundary U_matrix(:, 1) = 0; % Bottom boundary U_matrix(:, end) = 0; % Top boundary end % Plot the velocity distribution [X, Y] = meshgrid(0:dx:D, 0:dy:L); quiver(X, Y, U_matrix', zeros(size(U_matrix')), 'LineWidth', 1); xlabel('X (m)'); ylabel('Y (m)'); title('Velocity Distribution in Tube Bundles'); axis equal; would you mind fixing the error?
% Parameters
D = 0.1; % Diameter of the tube (m)
L = 1.0; % Length of the tube bundle (m)
N = 8; % Number of tubes in the bundle
U = 1.0; % Inlet velocity (m/s)
rho = 1.2; % Density of the fluid (kg/m^3)
mu = 0.01; % Dynamic viscosity of the fluid (Pa.s)
% Define the grid size and time step
dx = D/10; % Spatial step size (m)
dy = L/10; % Spatial step size (m)
dt = 0.01; % Time step size (s)
% Calculate the number of grid points in each direction
nx = ceil(D/dx) + 1;
ny = ceil(L/dy) + 1;
% Create the velocity matrix
U_matrix = U * ones(nx, ny);
% Perform the iterations
for iter = 1:100
% Calculate the velocity gradients
dUdx = (U_matrix(:, 2:end) - U_matrix(:, 1:end-1)) / dx;
dUdy = (U_matrix(2:end, :) - U_matrix(1:end-1, :)) / dy;
% Calculate the pressure gradients
dpdx = -mu * dUdx;
dpdy = -mu * dUdy;
% Calculate the change in velocity
dU = dt * (dpdx / rho);
% Update the velocity matrix
U_matrix(:, 2:end-1) = U_matrix(:, 2:end-1) + dU;
% Apply boundary conditions
U_matrix(1, :) = U; % Inlet boundary
U_matrix(end, :) = 0; % Outlet boundary
U_matrix(:, 1) = 0; % Bottom boundary
U_matrix(:, end) = 0; % Top boundary
end
% Plot the velocity distribution
[X, Y] = meshgrid(0:dx:D, 0:dy:L);
quiver(X, Y, U_matrix', zeros(size(U_matrix')), 'LineWidth', 1);
xlabel('X (m)');
ylabel('Y (m)');
title('Velocity Distribution in Tube Bundles');
axis equal;
would you mind fixing the error?
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