Couette flow between two plate

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Hi, how can i plot the velocity profile for steady couette flow between two plates? d^2u/d^2y=(1/2*miu)*dp/dx for dp/dx=[_2,_1,0,1,2] , miu=1
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Garland Garland
Garland Garland on 15 Jan 2022
U(y)=1/2*miu*(dp/dx)*y^2+(U_1/2*miu*(dp/dx))y The upper plate moves by U=0.01m/s

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Accepted Answer

Torsten
Torsten on 15 Jan 2022
Edited: Torsten on 15 Jan 2022
Underlying equation is
d^2u/dy^2 = -G/mu with G = -dp/dx = const
function main
dpdx = [-2 -1 0 1 2];
mu = 1.0;
U = 0.01;
H = 0.05;
dy = 0.001;
np = numel(dpdx);
y = (0:dy:H).';
ny = numel(y);
u = zeros(ny,np);
for ip=1:np
u(:,ip) = -dpdx(ip)/(2*mu)*y.*(H-y) + U*y/H;
end
plot(y,u)
end
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