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©2013 The Japan Society of Mechanical Engineers Conditional scalar dissipation rate 〈N | ξ = η〉 conditioned on a mixture fraction ξ and mean scalar dissipation rate 〈N〉 in a planar liquid jet are experimentally investigated. Streamwise velocity and reactive concentrations are simultaneously measured in the planar liquid jet with a second-order chemical reaction A + B → R. 〈N | η〉 on the jet centerline is obtained from a conditional moment closure (CMC) equation and measured conditional mean values. To calculate〈N | η〉, we derive the equations which represent conditional mean concentrations by assuming that the ratio of the conditional mean concentration of product R and the conditional mean reaction rate does not depend on the mixture fraction. The conditional dissipation rate is obtained from the budget of CMC equation. The results show that 〈N | η〉 becomes small in the downstream direction. It is also shown that the profiles of 〈N | η〉 change in the downstream direction; in the downstream region, 〈N | η〉 has a local minimum value at η ≈ ξS, whereξS is the stoichiometric ratio in mixture. 〈N〉 can be obtained from〈N | η〉 and the probability density functions of mixture fraction. It is observed that 〈N〉 on the jet centerline decays in the downstream ( x) direction asx−2.9, which is close to the−3 power expected from scaling arguments.

nihon kikai gakkai ronbunshū. b

Scalar Dissipation Rate in a Planar Liquid Jet with a Chemical Reaction (Experimental Study on the Evaluation of the Conditional Moment Closure Equation)