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Traditionally, the smoke front location below the horizontal ceiling of a corridor in fire has been predicted by the numerical analysis. In this paper, an approximate analytical solution is derived. If the progression rate of smoke front is assumed to be constant, the analytical solutions of smoke average temperature and the equation of smoke front location are derived. As the equation of smoke front location is not solved analytically, the integrand of the equation is approximated by 1/At, and on additional condition that the smoke temperature does not exceed the initial inlet temperature the further approximate analytical solution is derived. The final approximate analytical solution shows that the smoke front location is proportional to the time until 1 / A, and expand in proportion to the 2 /3 power of time thereafter. The approximate analytical solution is compared the experimental results of actual size. The result shows that it is possible to predict the smoke front location in considering heat loss from the ceiling and the walls.

APPROXIMATE ANALYTICAL SOLUTION OF SMOKE FRONT LOCATION IN FIRE BELOW HORIZONTAL CORRIDOR CEILING