Transport coefficient

<h2 id="examples">Examples</h2>
<ul><li><a href="/facts/Diffusion_constant/2guvKD4T">Diffusion constant</a>, relates the flux of particles with the negative gradient of the concentration (see <a href="/facts/Fick%2527s_laws_of_diffusion/2guvKD4T">Fick's laws of diffusion</a>)</li>
<li><a href="/facts/Thermal_conductivity/qWnSG3nQ">Thermal conductivity</a> (see <a href="/facts/Fourier%2527s_law/5vRktgcS">Fourier's law</a>)</li>
<li><a href="/facts/Ionic_conductivity_(solid_state)/HF9Xw4N8">Ionic conductivity</a></li>
<li><a href="/facts/Mass_transfer_coefficient/j6jH4TAN">Mass transport coefficient</a></li>
<li><a href="/facts/Shear_viscosity/QLVfrdCz">Shear viscosity</a> 
  
    
      
        η
        =
        
          
            1
            
              
                k
                
                  B
                
              
              T
              V
            
          
        
        
          ∫
          
            0
          
          
            ∞
          
        
        d
        t
        
        ⟨
        
          σ
          
            x
            y
          
        
        (
        0
        )
        
          σ
          
            x
            y
          
        
        (
        t
        )
        ⟩
      
    
    {\displaystyle \eta ={\frac {1}{k_{B}TV}}\int _{0}^{\infty }dt\,\langle \sigma _{xy}(0)\sigma _{xy}(t)\rangle }
  
, where 
  
    
      
        σ
      
    
    {\displaystyle \sigma }
  
 is the <a href="/facts/Viscous_stress_tensor/ljeMKpDI">viscous stress tensor</a> (see <a href="/facts/Newtonian_fluid/hpzNyDH5">Newtonian fluid</a>)</li>
<li><a href="/facts/Electrical_conductivity/akyCKvMy">Electrical conductivity</a></li></ul>
<h2 id="transport-coefficients-of-higher-order">Transport coefficients of higher order</h2>
<p>For strong gradients the transport equation typically has to be modified with higher order terms (and higher order Transport coefficients).<a class="footnote-ref" id="fnref:2" href="#fn:2"><sup>2</sup></a>
</p>
<h2 id="see-also">See also</h2>
<ul><li><a href="/facts/Linear_response_theory/rmuLw2FB">Linear response theory</a></li>
<li><a href="/facts/Onsager_reciprocal_relations/X8ICerl3">Onsager reciprocal relations</a></li></ul>

<h2 id="references">References</h2>

<ol>
<li id="fn:1"><p>Water in Biology, Chemistry, and Physics: Experimental Overviews and Computational Methodologies, G. Wilse Robinson, ISBN 9789810224516, p. 80, Google Books <a href="/wiki/ISBN_(identifier)" target="_blank">/wiki/ISBN_(identifier)</a> <a href="#fnref:1" class="footnote-back-ref">↩</a></p></li>
<li id="fn:2"><p>Kockmann, N. (2007). Transport Phenomena in Micro Process Engineering. Deutschland: Springer Berlin Heidelberg, page 66, Google books <a href="https://books.google.com/books?id=40fQkEDXiQ0C&dq=transport+coefficient+of+higher+order&pg=PA66" target="_blank">https://books.google.com/books?id=40fQkEDXiQ0C&dq=transport+coefficient+of+higher+order&pg=PA66</a> <a href="#fnref:2" class="footnote-back-ref">↩</a></p></li>
</ol>

Transport coefficient open-in-new

Transport coefficient