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  3. Fail:Airflow-Obstructed-Duct.png - Wikipedia Bahasa Melayu, ensiklopedia bebas
Fail:Airflow-Obstructed-Duct.png - Wikipedia Bahasa Melayu, ensiklopedia bebas
Daripada Wikipedia, ensiklopedia bebas.

Fail asli (1,270 × 907 piksel, saiz fail: 85 KB, jenis MIME: image/png)

Fail ini dari Wikimedia Commons dan mungkin digunakan oleh projek lain. Penerangan pada laman penerangan failnya di sana ditunjukkan di bawah.

Ringkasan

File:N S Laminar.svg merupakan versi vektor bagi fail ini. Ia sepatutnya digunakan bagi menggantikan imej raster ini apabila ia mempunyai peleraian yang lebih besar dan lebih baik.
File:Airflow-Obstructed-Duct.png → File:N S Laminar.svg
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Anda juga boleh melihat maklumat mengenai sokongan imej SVG MediaWiki.
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Keterangan

A simulation using the navier-stokes differential equations of the aiflow into a duct at 0.003 m/s (laminar flow). The duct has a small obstruction in the centre that is parallel with the duct walls. The observed spike is mainly due to numerical limitations.

This script, which i originally wrote for scilab, but ported to matlab (porting is really really easy, mainly convert comments % -> // and change the fprintf and input statements)

Matlab was used to generate the image. 


%Matlab script to solve a laminar flow
%in a duct problem

%Constants
inVel = 0.003; % Inlet Velocity (m/s)
fluidVisc = 1e-5; % Fluid's Viscoisity (Pa.s)
fluidDen = 1.3; %Fluid's Density (kg/m^3)

MAX_RESID = 1e-5; %uhh. residual units, yeah...
deltaTime = 1.5; %seconds?
%Kinematic Viscosity
fluidKinVisc = fluidVisc/fluidDen;

%Problem dimensions
ductLen=5; %m
ductWidth=1; %m

%grid resolution
gridPerLen = 50; % m^(-1)
gridDelta = 1/gridPerLen;
XVec = 0:gridDelta:ductLen-gridDelta;
YVec = 0:gridDelta:ductWidth-gridDelta; 

%Solution grid counts
gridXSize = ductLen*gridPerLen;
gridYSize = ductWidth*gridPerLen;

%Lay grid out with Y increasing down rows
%x decreasing down cols
%so subscripting becomes (y,x) (sorry)
velX= zeros(gridYSize,gridXSize);
velY= zeros(gridYSize,gridXSize);
newVelX= zeros(gridYSize,gridXSize);
newVelY= zeros(gridYSize,gridXSize);

%Set initial condition

for i =2:gridXSize-1
for j =2:gridYSize-1
velY(j,i)=0;
velX(j,i)=inVel;
end
end

%Set boundary condition on inlet
for i=2:gridYSize-1
velX(i,1)=inVel;
end

disp(velY(2:gridYSize-1,1));

%Arbitrarily set residual to prevent
%early loop termination
resid=1+MAX_RESID;

simTime=0;

while(deltaTime)
 count=0;
while(resid > MAX_RESID && count < 1e2)
 count = count +1;
for i=2:gridXSize-1
for j=2:gridYSize-1
newVelX(j,i) = velX(j,i) + deltaTime*( fluidKinVisc / (gridDelta.^2) * ...
(velX(j,i+1) + velX(j+1,i) - 4*velX(j,i) + velX(j-1,i) + ...
velX(j,i-1)) - 1/(2*gridDelta) *( velX(j,i) *(velX(j,i+1) - ...
velX(j,i-1)) + velY(j,i)*( velX(j+1,i) - velX(j,i+1))));

newVelY(j,i) = velY(j,i) + deltaTime*( fluidKinVisc / (gridDelta.^2) * ...
(velY(j,i+1) + velY(j+1,i) - 4*velY(j,i) + velY(j-1,i) + ...
velY(j,i-1)) - 1/(2*gridDelta) *( velY(j,i) *(velY(j,i+1) - ...
velY(j,i-1)) + velY(j,i)*( velY(j+1,i) - velY(j,i+1))));
end
end

%Copy the data into the front 
for i=2:gridXSize - 1
for j = 2:gridYSize-1
velX(j,i) = newVelX(j,i);
velY(j,i) = newVelY(j,i);
end
end

%Set free boundary condition on inlet (dv_x/dx) = dv_y/dx = 0
for i=1:gridYSize
velX(i,gridXSize)=velX(i,gridXSize-1);
velY(i,gridXSize)=velY(i,gridXSize-1);

    end

    %y velocity generating vent
    for i=floor(2/6*gridXSize):floor(4/6*gridXSize)
        velX(floor(gridYSize/2),i) = 0;
        velY(floor(gridYSize/2),i-1) = 0;
    end
    
%calculate residual for 
%conservation of mass
resid=0;
for i=2:gridXSize-1
for j=2:gridYSize-1
%mass continuity equation using central difference
%approx to differential
resid = resid + (velX(j,i+ 1)+velY(j+1,i) - ...
(velX(j,i-1) + velX(j-1,i)))^2;
end
end

resid = resid/(4*(gridDelta.^2))*1/(gridXSize*gridYSize);
fprintf('Time %5.3f \t log10Resid : %5.3f\n',simTime,log10(resid));

    

simTime = simTime + deltaTime;
end
mesh(XVec,YVec,velX)
deltaTime = input('\nnew delta time:');
end
%Plot the results
mesh(XVec,YVec,velX)
Tarikh 24 Februari 2007 (original upload date)
Sumber Transferred from en.wikipedia to Commons.
Pengarang User A1 at Inggeris Wikipedia

Perlesenan

Public domain User A1 at Inggeris Wikipedia selaku pemegang hak cipta karya ini melepaskan karya ini ke dalam domain awam di seluruh dunia.
Di sesetengah negara, undang-undangnya mungkin tidak mengizinkan; jika begitu:
User A1 memberi sesiapa sahaja hak untuk menggunakan karya ini untuk apa jua tujuan, tanpa sebarang syarat, melainkan undang-undang menetapkan syarat-syarat sedemikian.

Log muat naik asal

The original description page was here. All following user names refer to en.wikipedia.
  • 2007-02-24 05:45 User A1 1270×907×8 (86796 bytes) A simulation using the navier-stokes differential equations of the aiflow into a duct at 0.003 m/s (laminar flow). The duct has a small obstruction in the centre that is paralell with the duct walls. The observed spike is mainly due to numerical limitatio

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24 Februari 2007

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907 piksel

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semasa15:52, 1 Mei 2007Gambar kenit bagi versi pada 15:52, 1 Mei 20071,270 × 907 (85 KB)Smeira{{Information |Description=A simulation using the navier-stokes differential equations of the aiflow into a duct at 0.003 m/s (laminar flow). The duct has a small obstruction in the centre that is paralell with the duct walls. The observed spike is mainly

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