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42                                                Advanced Mine Ventilation

         3.3 Using the 3 x value from Problem (3.1), calculate c(x,t) at 10,000 ft downstream after 6 hours
             if all conditions are the same and l is zero.
               Use Eq. (3.9).



         References

          [1] Thakur PC. Advanced reservoir and production engineering for coalbed methane. Elsevier;
             2016. p. 210.
          [2] Fick A. Uber diffusion. Annual Review of Physical Chemistry 1855;2:59e86.
          [3] Taylor Sir GI. Diffusion by continuous movements. Proceedings of the London Mathe-
             matical Society 1921;2:196e202.
          [4] Thakur PC. Mathematical modelling of tunnel air pollution. In: Proc. Rapid Excavation
             and Tunnelling Conference, San Francisco, U.S.A.; 1974. p. 283e94.
          [5] Ames WF. Numerical methods for partial differential equations. Barnes and Nobel, Inc.;
             1969. p. 291.
          [6] Carslaw H, Jaeger JC. Conduction of heat in solids. London: Oxford; 1959. p. 495.
          [7] Seager JS, Fitzpatrick RD. A theoretical treatment of dispersion into a turbulent stream in a
             pipe. Safety in Mines Research Establishment, R.R. 1967;245:25.
          [8] Airey EM. Diffusion of firedamp in mine airways. Minerals Engineering January 1969:
             207e16.
          [9] Klebanov FS, Martynyuk GK. A method for experimental determination of the coefficient
             of longitudinal turbulent diffusion in ventilation currents in mine workings. Fiziko-
             technicheskie, Problemy Razrabotki Poleznykh 1973;4:71e5.
         [10] Roberts OFT. The theoretical scattering of smoke in a turbulent atmosphere. Proceedings
             of the Royal Society of London. Series A 1915;215:646e54.
         [11] Beal SK. Deposition of particles in turbulent flow on channels or pipe walls. Nuclear
             Science and Engineering 1970;40:1e11.
         [12] Grekov SP, Kalyusski AE. Drift of impurities in a turbulent current of variable velocity
             with a flow rate which varies along the mine working. Fiziko-Technicheskie, Problemy
             Razrabotki Poleznykh 1972;3:85e9.
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