OPTIMIZATION OF ENERGY SUPPLY IN AN ELECTROPULSE WATER JET FOR THE DISCHARGE-TIME-MEAN OUTFLOW VELOCITY

The variational problem of optimizing the energy supplied to the discharge channel of a pulsed water jet in order to maximize the mean jet outflow velocity is considered. The problem is solved in the gasdynamic formulation using the general method of indefinite Lagrange multipliers. The optimality conditions are derived by considering the smeared flow. Both the direct and conjugate problems are solved by the shock-capturing method. An example of the calculation is presented.